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How many lines of symmetry does a circle have? 2019-05-28
raji pose la question :
how many lines of symmetry does a circle have???
Penny Nom lui répond.
Parallel and Perpendicular lines 2017-07-17
Karen pose la question :
Find an equation for the line with the given properties. Perpendicular to the line 7x + 2y = -6; containing the point (-2, -1)

Find an equation for the line with the given properties. Parallel to the line 5x - 3y =-6; x intercept = 3

Penny Nom lui répond.
Two wires between two buildings 2017-05-11
Bill pose la question :
I need to find the height of the intersection point of two building wires< br /> Building A is 860 feet high and building B is 480 feet high. The wires existent from the top of one building to The bottom of the other < br /> The distance between is 32 feet
Penny Nom lui répond.
Parallel lines 2016-10-26
Jordan pose la question :
(7,-5) 3x -4y=5
Penny Nom lui répond.
Perpendicular lines 2016-02-14
Brendon pose la question :
points A (-4; 6) , B (1;-2), C (5;-3) and D (4; 1) are given prove that AC and BD are perpendicular to each other
Penny Nom lui répond.
A region defined by three lines 2015-03-16
Lucinda pose la question :
find the area of the figure formed by the line y=-5x+9 and the x-axis and y-axis.
Penny Nom lui répond.
Two regression lines 2014-06-14
catherine pose la question :
Given a set of data values ,we can get two regression lines .Explain.
Robert Dawson and Penny Nom lui répond.
A question concerning two lines 2014-05-09
Hela pose la question :
The equation of the line L is 6x+5y=3, and the equation of line Q is 5x-6y=0, which statement below about the line is true?
A) same y intercept
B)parallel
C) Same x intercept
D)perpendicular

Penny Nom lui répond.
A circle which is tangent to two perpendicular lines 2014-03-09
MJ pose la question :
I'm a College Student taking up Bachelor of Secondary Education on Math Subject. And I'm struggling for my research about Circles. I done solving the said topic particularly on this question:

"What are the possible equations of a circle being tangent to a pair of perpendicular lines, having the origin as the Point of Intersection and the C (h, k), where h, k ∈ℤ"

But I can't get what would be the process that I must do in order to jive to my idea/goal for that problem.
Please check my idea that the numerical coefficients of the equation is equal to the radius of the circle. Thanks in advance! :)

Penny Nom lui répond.
Two perpendicular lines 2013-08-15
Hanna pose la question :
The problem says, "Write the equation in standard form for the line that is perpendicular to the graph of y=5x+1 with a y-intercept of 4." I have no clue how to do this. Please help me!
Penny Nom lui répond.
The distance between 2 lines in 4D 2013-04-01
samane pose la question :
how can i measure the distance between 2 lines in 4D??
Chris Fisher lui répond.
Tangents to the curve y = x^3 2013-03-24
Ethan pose la question :
How many tangent lines to the curve y = x^33 pass through the point (2, 4)? For each such line, and the exact coordinates of the point of tangency on the curve.
Penny Nom lui répond.
An equilateral triangle and some circles 2012-01-10
tushar pose la question :
draw an equilateral triangle with side 6cm.draw 3circles with radii 3cm on each angular point of triangle.draw common tangent on each of two circles
Penny Nom lui répond.
Lines tangent to y^2=4x 2011-11-11
Reuchen pose la question :
Find equations of the lines tangent to y^2=4x and containing (-2,1).
Penny Nom lui répond.
A transversal 2011-03-30
Jillian pose la question :
I don't understand finding angels in a transversal
Penny Nom lui répond.
Exactly two lines of symmetry 2010-04-11
debbie pose la question :
i am looking for a quadrilateral with exactly two lines of symmetry. please help! thank you.
Tyler Wood lui répond.
A system of equations 2010-03-30
samantha pose la question :
the equations of two lines are 6x-y=4 and y=4x +2.what is the value of x in the solution for this system of equations?
Penny Nom lui répond.
The angle of intersection between two lines 2010-03-25
Madhumitha pose la question :
How to find the angle of intersection between a line x=249 and another line which is of the form y=m*x+c; Line1 has a slope of infinity so what does the angle of intersection turn out to be? Or how can i find it?
Chris Fisher lui répond.
The acute angle formed by intersecting lines 2009-12-17
Katie pose la question :
To the nearest tenth of a degree, find the size of the acute angle formed by the intersecting lines 3x + 2y = 12 and x - 2y = -2. Was is necessary to find the intersection point?
Robert Dawson lui répond.
The point of intersection of the pair of straight lines 2009-11-19
Stephanie pose la question :
Find the point of intersection of the pair of straight lines:
y=-3x-9
-y=4x+2
x = _______ and y = ________

I am totally confused. Please help

Robert Dawson lui répond.
The intersection of two graphs 2009-10-30
asma pose la question :
by using the suitable scales,draw both the graph of x/2 + y/4 =3 and y=2 on the same graph paper.Find the points of intersection of the two graph.
Penny Nom lui répond.
Is it a rectangle? 2009-10-29
sefora pose la question :
The coordinates of the vertices of quadrilaterals are given. Draw each quadrilateral on a grid. Determine whether it is a rectangle (show your work)

P(5,1), Q(-4,4), R(-6,-2), S(3,-5)

Penny Nom lui répond.
Forming a square 2009-10-21
christianah pose la question :
Two parallel lines have the equations y=x+4 and y=x-2.Two additional lines are drawn to form a square.What is the side length of the square?Write possible equations for the additional lines.Explain and justify your reasoning.
Penny Nom lui répond.
Parallel lines 2009-07-01
chris pose la question :
Write the slope of a line that is parallel to each line.
1.y=2x-5
2.y=-x+2
3.3x+y=10
4.5x-y=11
5.x+2y=6
6.2x-3y=9
7.4x+y=3
8.x+2y=14

Brennan Yaremko lui répond.
The product of gradients between 2 perpendiculars lines 2009-06-11
Alister pose la question :
how do i prove that the product of gradients between 2 perpendiculars lines equal to -1....
Penny Nom lui répond.
Perpendicular lines 2009-05-07
shabnam pose la question :
the line presented by y= 3x-2 and a line perpendicular to it intersect at R(1,1). Determine the equation of the perpendicular line
Stephen La Rocque lui répond.
Parallel and perpendicular lines 2009-04-08
Blake pose la question :
I need to know what the formula for working a problem. I need to know how to find if i line is parallel or perpendicular by only looking at the equation. i know you must know the slope but how do i find slope?
Stephen La Rocque lui répond.
Are these lines parallel? 2009-02-06
Conor pose la question :
are these lines parallel?

y = 3x -2 and 6y = 3x +2

Stephen La Rocque lui répond.
The intersection of two lines 2009-01-30
kaylee pose la question :
how do you find and graph the intersect of these two equations: y=2x-4 (and) 2y=x thanks, kaylee
Stephen La Rocque lui répond.
The point of intersection of the straight lines 2009-01-18
Kieran pose la question :
Find the point of intersection of the straight lines

y=2x+4, and y+2x-16=0

Robert Dawson and Penny Nom lui répond.
A line is perpendicular to another line 2009-01-16
Greg pose la question :
A line is perpendicular to the line y=2x+3 and has the same x-intercept as x+3y+10. Find the equation of this line. Express your answer in the form of y=mx+b. Justify your answer.
Robert Dawson lui répond.
The angle between two lines 2008-12-17
abhi pose la question :
how to calculate the angle between two lines, given the length of the lines.. angle should vary from 0 - 360 in the counterclockwise direction
Robert Dawson and Harley Weston lui répond.
The sides of a rectangle 2008-12-08
Mitchell pose la question :
The perimeter of rectangle ABCD (represented on a Cartesian plane) is 52cm. The equation associated with segment AD is 3x+4y-60=0 Point C is at (18, 14). What is the length of segment AD?
Penny Nom lui répond.
A geometric construction 2008-10-17
M pose la question :
Given any 3 parallel lines on a plane, how to construct an equilateral triangle with each vertex on each line?
Chris Fisher lui répond.
Perpendicular lines 2008-10-16
Hailey pose la question :
In the xy-plane, the line with equation 2x + y = 3 is perpendicular to the line with equation y = mx + b, where m and b are constants. What is the value of m?
Penny Nom lui répond.
Lines that pass through a point 2008-09-30
Abigail pose la question :
what is the name for a point that a group of lines pass through that contains the letters c e n p i l?
Penny Nom lui répond.
5 units from (1,2) and 5 units from y-axis 2008-09-26
Shaun pose la question :
Find the points (x,y) in the plane that are 5 units from (1,2) and 5 units from y-axis. I am more interested in the approach, in general terms, than the numerical values.
Penny Nom lui répond.
Parallel and perpendicular lines 2008-09-06
C pose la question :
Can you help me determine whether these lines are parallel, perpendicular or neither and why?

Problem 1: y=3x+2
y=1/3x - 4

Problem 2: y=1/3x + 1/2
y=1/3 x -2

Penny Nom lui répond.
Joining vertices in a polygon 2008-08-18
Megan pose la question :
I'm trying to develop a relationship between the number of points of a regular polygon and the
(a) number of lines you could draw between those points,
(b) number of triangles you could draw,
(c) number of quadrilaterals,
etc.

Penny Nom lui répond.
Overbooking flights 2008-07-10
DON pose la question :
Overbooking by Airlines This is a simplified version of calculations used by airlines when they overbook flights. They realize that a certain percentage of ticketed passengers will cancel at the last minute. Therefore, to avoid empty seats, they sell more tickets than there are seats, hoping that just about the right number of passengers show up. We will assume that the no-show rate is five percent. For a flight with 220 seats, the airline wants to find how sensitive various probabilities are to the number of tickets it issues. In particular, it wants to calculate
a) the probability that more than 225 passengers show up
b) the probability that more than 220 passengers show up
c) the probability that at least 215 seats will be filled
d) the probability that at least 210 seats will be filled.
To assess the benefits and drawbacks of issuing various numbers of tickets on an airline flight with 220 seats, create a table showing as many different scenarios as possible (table only on one page when printed) and use a second page for your analysis and recommendation to the airline. Which are the good cases, which are the bad cases for the airline?

Janice Cotcher lui répond.
Straight lines 2007-11-26
Divyansh pose la question :
hello i am in eleventh class and am, preparing a project on straight lines i cant really find uses of straight lines and its equations in daily life i am also thankful to you in advance and am waiting for your answer eagerly because i need to submit my project only this week thanking you
Penny Nom lui répond.
Two lines 2007-11-18
Kate pose la question :
represent qraphically the equations of these lines and their intersecting points

x-y=2 3x+y=11

Penny Nom lui répond.
Finding equations, intersection point of two lines at right angles 2007-09-22
Yaz pose la question :
Find the equation of the line joining A(-1,-9) to B(6,120). Another line passes through C(7,-5) and meets AB at rigth angle of D. Find the euation of CD and calculate the co-ordinates of D.
Stephen La Rocque lui répond.
Perpendicular lines 2007-09-06
dinesh pose la question :
we know that for two perpendicular lines m1*m2=-1perpendicular but this is not true for x-axis and y-axis?
Harley Weston lui répond.
Two-column proof for a circle geometry problem 2007-08-24
Kendra pose la question :
i have to prove that tangents to a circle at the endpoints of a diatmeter are parallel by stating whats given, whats to prove and a plane, then write a two column proof i dont understand this
Stephen La Rocque lui répond.
Two coplanar lines 2007-08-21
Robin pose la question :
I am going two show that the two lines are coplanar:

(x-5)/4=(y-7)/4=-(z+3)/5
(x-8)/7=y-4=(z-5)/3

I know I have to find a point that lie on both lines, but dont really get it.

Stephen La Rocque and Penny Nom lui répond.
Proving a quadrilateral is a rectangle 2007-07-14
Sonja pose la question :
I was having this discussion with another teacher and we need a third opinion. When you are trying to prove a quadrilateral is a rectangle which method should you use:
  1. Prove the shape is a parallelogram by doing slope 4 times by stating that parallel lines have equal slopes. Then proving a right angle by stating that perpendicular lines have negative reciprocal slopes.
  2. Doing the slope 4 times and stating that the shape is a rectangle because opposite sides are parallel because of equal slopes and it contains a right angle because of negative reciprocal slopes.
I guess the real question is do you have to first state that the shape is a parallelogram?

Stephen La Rocque lui répond.
Two tangent lines to y=x^3 2007-06-07
stephanie pose la question :
find the equations of two tangent lines to the y=x^3 function through the point (2,8)
Penny Nom lui répond.
The distance between parallel lines 2007-05-28
Kristie pose la question :
I can't figure out how to determine the distance between parallel lines I am taking linear algebra and vector geometry. I was given two lines in the form #x+#y =# told they were parallel and asked to find the distance between them?? Please help Thanks
Penny Nom lui répond.
Slicing a double-napped cone with a plane 2007-05-07
Andrew pose la question :
I am writing a paper about creating parallel lines by slicing a double-napped cone with a plane. I have found out how it can be shown by algebra that the equations for parallel lines are generated from the degenerate case of a second degree polynomial in two variables, but I have yet to find a source with a visual representation of this case. Do you know if it exists?
Chris Fisher lui répond.
Finding out if two line equations are parallel or perpendicular 2007-04-28
Vincent pose la question :
Can you determine if the two lines are parallel, perpendicular, or neither 1/2x+4y=3/5 y/1 + 10/5= 8x I think there perpendicular but how would you solve the equations
Stephen La Rocque lui répond.
A line parallel to a given line 2007-04-28
vince pose la question :
write an equation of the line satisfying the given conditions Through (2,-3) parallel to 2x=3y+5 and graph both equations
Penny Nom lui répond.
A line parallel to a given line 2007-04-26
vincent pose la question :
I forgot how to write the equation of the line satisfying the given conditions through (2,-3) parallel to 2x=3y+5

and how would you graph this

Penny Nom lui répond.
Two parallel lines 2007-04-25
prasanna pose la question :
Let me know the Equation of a line which is parallel to some other line at a distance of Dmts.
Penny Nom lui répond.
Two lines intersect at a right angle 2007-04-20
ellen pose la question :
The line with the equation 3x + by = 6 intersects with the line 6y + ax = c at right angles at the point (4,6). Determine the values of a, b & c.
Stephen La Rocque lui répond.
Slopes of perpendicular lines 2007-03-27
Mykolyn pose la question :
How do you find the slope of a line that is perpendicular to the graph of: y= -1/2x+4?
Leeanne Boehm and Sara Ulmer lui répond.
A line that is perpendicular to another line 2007-03-16
Jesse pose la question :
How do you write an equation of a line that is perpendicular to y+2x+3 and passes through (3,4); I don't understand the steps of how to do this????
Stephen La Rocque and Penny Nom lui répond.
Prove that the triangle ABC is isosceles 2007-03-05
Lisa pose la question :
I am stuck on this problem... If AB = CD (parellel line), and
Stephen La Rocque and Penny Nom lui répond.
The intersection of two lines 2007-02-28
Tamara pose la question :
I was told to make a graph to help solve this question. I was given two equations. One was x-2y=3 and the other was 2x+y=-4. We have to change it to the equation of the line format. Then we graph the line and find the point where they meet. I've been trying to do that, but when i check the answer, It turns out wrong. It's meeting in the wrong spot. I need help please.
Penny Nom lui répond.
Parallel lines 2007-02-27
Jennifer pose la question :
How to you decide whether the graphs of these two equations are parallel linse: y=3x+2, y=1/3x+4
Stephen La Rocque and Penny Nom lui répond.
A line perpendicular to another line 2007-01-13
Dusty pose la question :
Find an equation for the line perpendicular to: 3x - 4y + 1 = 0 passing through (4,7)
Leeanne Boehm and Penny Nom lui répond.
Family of lines 2006-09-29
Sasha pose la question :
could a "Family of Lines" have both parallel and intersecting equations that aren't related directly but otherwise related by each other to create a curve
Chris Fisher lui répond.
Rays 2006-08-31
Natasha and daughter pose la question :
My daughter, Natasha, is in 4th grade. She had the following homework question about rays that confused us: Name as many rays as you can in the figure below.
Penny Nom lui répond.
An angle in a parallelogram 2006-08-13
Sam pose la question :
Parallelogram ABCD has diagonal AC equal in length to side AB. CD is produced to E so that D is between E and C. If angle BAC =30 degrees find the size of angle ADE.
Stephen La Rocque lui répond.
Equations of two lines 2006-04-05
Wael pose la question :
Determine a cartesian equation of the line passing through A and V as a direction vector?

1- A (2;1) and V = j

2- A (2;3) and V = i

Penny Nom lui répond.
Two parallel lines 2006-01-22
Marbara pose la question :
On my math homework I have a problem where it says find the value of x so that L is parallel to M

on one of the there are three lines. the top one is horizontal which is L. the bottom one is also horizontal directly under L which is M. there is another line that is diagonal going through the middle sections of L and M.

To the right of the diagonal line and right under line L is an equation 5x-10

to the right of the diagonal line and right above line M is an equation 8X-5

I tried to find what X is but I can't because it never matches both equations no matter what way I try to do it.

Penny Nom lui répond.
What is the angle between 2 non-collinear parallel lines? 2005-10-17
Ben pose la question :
What is the angle (if any) between 2 non-collinear parallel lines?
Chris Fisher and Walter Whiteley lui répond.
Two intersecting lines 2004-12-18
James pose la question :
Imagine a vertical line 1.107' tall. Leaving the top of this line, sloping down to the right at a 4:1, at what horizontal distance will the line strike a second line, which leaves the the bottom of the vertical line sloping down to the right at a rate of .02 ft/ft (or 2%)? There is a fairly easy solution to this, but I have lost my notes!
Harley Weston lui répond.
A theorem involving a trapezoid 2004-09-29
Abraham pose la question :
Given:Trapezoid ROSE with diagonals RS and EO intersecting at point M
Prove:Diagonals RS and EO do not bisect each other.

Harley Weston lui répond.
Graphing lines 2004-02-08
A student pose la question :
how do you solve y=1\3x+3 and y=1\3x-3 by graphing?
Penny Nom lui répond.
Intersecting a line and a curve 2004-01-29
Senthil pose la question :
between line and curve how can i find intersection point? could you write me the formula and explanation also sir.
Penny Nom lui répond.
Lines 2003-11-14
A student pose la question :
What is a name that a group of lines pass through?
Chris Fisher lui répond.
Intercepts 2003-11-04
A student pose la question :
I am totally confused on how to determine intercepts of an equation and then to graph the line. For example, how to determine the intercepts of 2x-3y-12=0.
Penny Nom lui répond.
Squares in a rectangle 2003-10-21
Raj pose la question :

Draw a rectangle with sides of 3 and 4. Divide the sides into 3 and 4 equal parts respectively. Draw squares joining the points on the sides of the rectangle. You will have 12 small squares inside the 3 x 4 rectangle.

If you draw a diagonal of the rectangle, it will intersect 6 of the the 12 smaller squares.

Similarly, if you have a 4 x 10 rectangle, the diagonal would intersect 12 of the 40 squares inside the rectangle.

Is there an algebric equation that determines the number of squares that will be intersected by the diagonal of a rectangle?


Chris Fisher lui répond.
Two line segments and a plane 2003-09-11
Laura pose la question :
Do all figures made up of two segments lie in a plane?
Penny Nom lui répond.
Collinear Points 2003-01-13
Gary pose la question :

Which of the 4 points are collinear when you construct the following concurrent lines or rays of a triangle?

  1. P(1), the point where the angle bisectors intersect.
  2. P(2), the point where the altitudes (or extensions) intersect (inside or outside of the triangle).
  3. P(3), the point where the medians intersect.
  4. P(4), the point where the perpendicular bisectors (or extensions) of the three sides of a triangle intersect.


This is for my 9-12 high school class in geometry.
My name is Gary


Thanks for your help.
Gary


Harley Weston and Chris Fisher lui répond.
Parallelograms 2002-08-21
Moorthy pose la question :
11 parallel lines are intersected by another 9 parallel lines.Then how many parallelograms are formed?
Walter Whiteley lui répond.
Lines of symmetry 2002-04-22
Cindie pose la question :
How many lines of symmetry do the following figures contain?

trapezoid:

rhombus:

hexagon:

pentagon:


Walter Whiteley lui répond.
A 1 m by 1 m square box in the xy-plane 2001-12-15
Murray pose la question :
Inside a 1 m by 1 m square box in the xy-plane, there are finitely many line segments, whose lengths sum to exactly 10 m. Show that there exists a straight line in the plane which crosses at least six of these line segments. (Hint: first, show that there exists a straight line in the plane which crosses at least five of these line segments.)
Claude Tardif lui répond.
Normal lines 2001-12-11
Kristie pose la question :
Why are perpendicular lines called normal lines?
Chris Fisher lui répond.
Lines in the plane 2001-10-21
Greg pose la question :

*If the line with equation 3x-4ky= -16 has y-intercept -2, find k.

*Write the equation of the line passing through (2,5) and perpendicular to the line passing through (2,-4) and (6,1)


Penny Nom lui répond.
Where do the lines y=2x-4 and y=x-1 intesect? 2001-04-06
Bryce pose la question :
solve the following problem by setting them equal to each other. Solve for x and y. Where do the lines y=2x-4 and y=x-1 intesect?
Penny Nom lui répond.
Linear equations 2001-02-13
Jamie pose la question :
I have a question how do you do linear equation?
Penny Nom lui répond.
Kinds of lines 2001-02-09
Robyn pose la question :
What are the different kinds/types of lines?
Leeanne Boehm lui répond.
Connecting to a water line 2000-10-20
Vanja pose la question :
My question is...A house is to be connected to a new water main that runs along the line y=2/3x-1. The connection point at the house has coordinates (2,9), where the units represent metres. What lenght of plastic pipe is needed to connect to the water main at the closest point?
Penny Nom lui répond.
How many planes contain a line and a point? 2000-08-30
Harold pose la question :
How many planes contain each line and point?
Harley Weston lui répond.
Lines on an oscilloscope screen 2000-06-20
Janis Watson pose la question :
What are the proper names for the vertical and horizontal lines on a graph? I am trying to explain an oscilloscope screen, and I don't know what to call these, except "vertical lines" and "horizontal lines."
Penny Nom lui répond.
Parallel and perpendicular lines 2000-05-08
Jimmy Lumpkins pose la question :
Need a method for solving the following problem: Find the equation of a line through point P that is parallel or perpendicular to another line.
Paul Betts lui répond.
Angle of Intersection of Two Lines 2000-03-02
Veronica Patterson pose la question :
I am having a real hard time trying to figure out this problem. Could you please help me! The homework question says to find the acute angle of intersection between the two lines y=3x+1 and y=(1/2)x-1. (It also says to use the results of a problem I had already figured out.) That problem was to use information from a picture shown that tan(theta sub1-theta sub2)= ((m sub2- m sub1)/(1+(m sub1 * m sub2))). I used the difference identity of tangent to figure out the answer. Any help on this problem would be greatly appreciated.
Harley Weston lui répond.
Parallel lines 2000-01-12
Lori pose la question :
Find an equation of the line parallel to the given line containing the given point. x + y = 2; (1,2) We know parallel line have the same slope and we know the answer y = -x + 3.
Penny Nom lui répond.
Parallel planes 2000-01-10
Hugo Alvarez pose la question :
When two parallel planes are cut by a third plane, the lines of the intersection are?
Claude Tardif lui répond.
Slopes of curved lines 1999-06-09
Stephen Ehrler pose la question :
When one plots the graphs of y=2x, y=3x, y=xx When each of these graphs pass through point (0,1) do they have the same slope? I know they are different lines but is it possable that they have the same slope at point (0,1).
Harley Weston lui répond.
Parallel and perpendicular lines 1999-04-23
Crystal Pilling pose la question :
My name is Crystal Pilling and I am in 9th grade algebra. We are currently studying parallel and perpendicular lines. I am having trouble with this problem: 3/4x - 5y= 16, (5,-6) I have to find a line that is perpindicular to this line on a graph.
HELP ME PLEASE!!!!!

Penny Nom lui répond.
Dividing a Circle 1999-04-12
Mike Kenedy pose la question :
I am having trouble with a homework question for bonus marks. A Circle is continually divided by lines that do not intersect the center so that they produce the most pieces of circle. For example
  • 1 line divides the circle into 2.
  • 2 into 4.
  • 3, however into 7.
  • 4 into11
  • 5 into 16
  • 6 into 22
  • 7 into 29
  • 8 into 37
  • etc...
I am stumped and cannot figure out the equation, though I'm sure it involves squares. Can you help?

Penny Nom lui répond.
Intersection of Planes 1998-12-03
Lindsay Fear pose la question :
My name is Lindsay Fear. I am an OAC student (which is the Ontario equivalent to Grade 12 in most other states and provinces). I am in an Algebra and Geometry course and am currently studying a unit on equations of planes. Our teacher has given us this question that my friend and I have attempted several times, but we are still unable to solve it. My teacher has also suggested using the internet as a resource. The question is:

Prove that a necessary condition that the three planes

 -x + ay + bz = 0 ax -  y + cz = 0 bx + cy -  z = 0 
have a line in common is that
a^2 + b^2 + c^2 + 2abc = 1

Walter Whiteley lui répond.
Intersection of planes 1998-11-22
Dave Rasmussen pose la question :
I am a teacher of secondary mathematics with a question about the uses of Three Dimensional Co-ordinate Geometry. I have been teaching my students to write equations of planes and lines, - to find the intersection of these and the distance between them. What I am having difficulty finding are good applications of these techniques to "real world" situations. Can anybody help me?
Walter Whiteley and Harley Weston lui répond.
Concurrent Lines in a Triangle 1998-08-10
Chris Woolf pose la question :
The question is Name four types of concurrent lines, rays, or segments that are associated with triangles.
Chris Fisher lui répond.
Graph question 1998-05-12
Rose Seminary pose la question :
Why is the point of intersection of two lines the solution to the corresponding system of equations?
Penny Nom lui répond.
Y-intercept 1998-02-27
Don Trumpet pose la question :
What is the Y-intercept for the problem:Y = -2(x+2) + 9
Harley Weston lui répond.
Intersecting Lines. 1998-02-10
Erik Heppler pose la question :
My typewriter frequently makes mistakes. Suppose I gave you the following system of equations to solve:

35.26X + 14.95Y = 28.35
187.3X + 79.43Y = 83.29

When I looked back, I realized that I meant to use 14.96 as the "Y" coefficient in the first equation instead of 14.95. Solving the system using 14.95 and then solving another system using 14.96 with all other values the same both times results in the intersection points (1776, -4186) and (-770, 1816) respectively.
How can that be?
Penny nom lui répond.

Calculating the Intersection Point. 1997-12-10
Milton Parsons pose la question :
Given 2 lines through (x1,y1),(x2,y2),and (x3,y3),(x4,y4). Can you give me a good formula for calculating the intersection point. I would greatly appreciate it.Thanks.
Chris Fisher and Penny Nom lui répond.
How many intersections? 1997-10-08
James pose la question :
(a) A collection of eight points, no three collinear. If lines are drawn between each pair of these points, how many points of intersection would there be?

(b) what would your answer have been in part (a) if there had been n points to start with?
Chris Fisher lui répond.

Equation of a line 1997-04-08
Susan Gregson pose la question :
I am a secondary school teacher. My students and I would like to know why the letters m and b are traditionally used to stand for slope and Y-intercept in the standard form of an equation. Was this an arbitrary choice? Who made it? Are the letters from Greek ot Latin words?
Harley Weston lui répond.
Prove that these two lines are parallel. 1996-05-29
Adam Piekarzewski pose la question :
Using parallel line theorems and side angle side etc. in triangle acd a line is drawn from point b on ac and point i on ad. another triangle fliped vertically and joined at d is named fdh, a line is drawn from point e on fd and point g on fh. ab = fg, ai = fe, ac || fh prove that bi || eg /- -/
Harley Weston lui répond.
 
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