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intersect

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(3d) Whether line segment intersects triangle 2019-04-13
rj pose la question :
Well hello,

Lets say I have a triangle,

Not any ordinary triangle, but a triangle that is represented in 3 dimensions. I also have a line segment.

Lets say that this triangle has points A(0,0,0), B(1,0,0), C(0,1,1)

And the line segment has points D(0,1/2,0), E(1,1/2,1)

In what way can I find if the line segment and triangle intersect? Their intersection point?

I don't prefer matrices, because they don't make any sense, but ... if that's the only way to solve this, then do what's necessary.

Thank you in advance.

Penny Nom lui répond.
A line cuts a curve 2018-11-11
roxanne pose la question :
Hello, i need to ask a question, do you mind explaining and writing the formula of how to solve equations such as "find the set values of k for which the line y-2x-5 cuts the curve y=x^2 +kx+11" please
Penny Nom lui répond.
Two curves 2018-09-23
Megan pose la question :
How do i find the interception points of xy=-2 and y=x+3? Many thanks!
Penny Nom lui répond.
Two intersecting tubes 2018-08-15
Tommy pose la question :
Hi, I am trying to determine a mathematical model for two metal tubes joining at various degrees for weld.
For instance, if I am trying to join the end of a tube to the side of another at a 90 degree angle, it will be a simple profile cut out of the joining tube.
Where it gets tricky is if you want to join the new tube at a given angle.
It would be very helpful if you could give insight as to how I can solve this problem or an equation I could work off of.
Thanks for the help!!

Edward Doolittle lui répond.
The intersection of a curve and a line 2018-03-08
lola pose la question :
find the set of values of constant C for which the line y=x+c intersects the curve y=2 square root x at, at two distinct points
Penny Nom lui répond.
Two circles 2017-08-13
Ladines pose la question :
Find the equation of the circle passing through points of intersections of circles x²+y²=4y and x²+y²=2x and the center is on line y=2
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.
The line of intersection of two planes 2015-12-09
Rabz pose la question :
Determine the vector equation for the intersection between the two given planes 2x+7y equal to 14,x+z equal to 7
Penny Nom lui répond.
The intersection of a plane and a cone 2015-05-16
Tom pose la question :
Is there a way to derive an equation that describes the perimeter of the intersection of a plane and a cone regardless of the angle of the plane to the cone. Assume that the plane does not cut through the base of the cone, the x, y, z location of the vertex is known, the distance from the vertex to the plane through the axis is know., and that the angle of the cone is known.
Chris Fisher lui répond.
Intersection points and diagonals 2013-09-11
Kenneth pose la question :
I was wondering, is there a relationship between the number of sides of a regular n-gon and the number of times its diagonals intersect?
Ie:
4 sides=1 intersect (center, diagonals form an 'X' )
5 sides=5 intersects (diagonals form a star)
6 sides=13 intersects
And so on.

Chris Fisher lui répond.
Points of intersection 2013-05-02
Bianca pose la question :
Find the sets of values of k for which the line y=kx-4 intersects the curve y=x^2-2x at two distinct points.
Penny Nom lui répond.
A family of circles 2011-03-01
steffi pose la question :
Find the equation of the family of the circle passing through the the point of intersection of x^2+ y^2 -4x-28=0 and x^2 +y^2 -4x-20+52=0; the member tangent to x=7.
Penny Nom lui répond.
Intersecting polygons 2010-11-17
Laura pose la question :
How can I estimate the amount of intersection (area or better a normalized number) between two polygons if I have the cartesian coordinates of their vertices?

Thank you in advance,
regards,
Laura

Robert Dawson lui répond.
Find the point of contact of the circles 2010-09-20
Sandra pose la question :
If the center of circle A = (-1,-3) and the radius of it is √20, the center of circle B = (5,9) and the radius of it is √80. Find the point of contact of the circles A and B.
Janice Cotcher lui répond.
The intersection of two graphs 2010-06-27
Austin pose la question :
In depth explanation of how to find the intersection points of functions y=-4t+300 and y=-4.9(t-5)^2+300
Stephen La Rocque 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.
Prove A intersect B =X iff A = X and B = X 2010-03-06
Gloria pose la question :
how would you prove A intersect B =X iff A = X and B = X
Tyler Wood 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.
The intersection of two graphs 2009-09-02
Jaqueline pose la question :
Find the points of intersection of the graphs of the equations

x^(2 )+ y^2=25 and 2x + y = 10

Penny Nom lui répond.
Intersection of Two Curves 2009-07-27
Amarah pose la question :
Find the coordinates of the point A( this point is where the two lines intersect). Justify answer question : here is a curve x^y =y^x (for x,y>o)
Janice Cotcher lui répond.
Finding the Line Joining Perpendicular Feet 2009-07-16
mukulu pose la question :
Please help I've been tryng to search in your data but i failed to get the solution Find the equation of a straight line joining the feet of the perpendiculars drawn from the point A(1,1) to the line 3x-3y-4= 0 and 3x+y-6=0.
Janice Cotcher 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 x b) intersect (b x a) 2009-01-08
sean pose la question :
is it possible to have two sets such that n((a X b) intersect (b X a) =3
Harley Weston lui répond.
A union B and A intersect B 2009-01-07
Jim pose la question :
Suppose A and B are sets and (A union B) = (A intersect B). Is it true that A=B.
Penny Nom lui répond.
The empty set 2008-09-29
wahab pose la question :
Why a null set is called a set? the definition of set includes that a set is a collection of well defined objects But a null set is having no value.
Harley Weston lui répond.
The intersection of the medians 2008-08-18
Katie pose la question :
Q: A Triangle is positioned with one side on the x-axis, the coordinates for the triangle are (-a,0), (a,0), (b,c)

a) Find the coordinates of the point of intersection of the perpendicular bisectors of the sides
b) Find the coordinates of the point of intersection of the medians
c) Find the coordinates of the point of intersection of the altitudes

Penny Nom lui répond.
Two intersecting circles 2008-04-17
Muhammad pose la question :
Hi, how can we find the perimeter and area of the region common to two intersecting circles of radii 6 cm and 4 cm with centers 7 cm apart.
Harley Weston 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.
The intersection of two planes 2007-05-31
Sarim pose la question :
How to find a intersection of two planes?
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.
Intersection of a line and a circle 2007-04-12
gaby pose la question :
The sum of two numbers is 9. The sum of the squares of the two numbers is 41. Find the numbers.
Steve La Rocque and Melanie Tyrer 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.
Points of intersection 2007-01-18
Mark pose la question :
Find the points of intersection of the given pair of curves. 2x - 3y = -8 and 3x - 5y = -13
Steve La Rocque and Haley Ess lui répond.
Points of intersection 2006-08-20
Gianella pose la question :

Find the points of intersection by solving this problem analytically.

y= x cubed
y= x


Stephen La Rocque lui répond.
Find the points of intersection 2006-08-18
Ingrid pose la question :

The question says find the points of intersection of the graphs of the equation, and check your results analytically.

x squared + y squared=25
2x+ y=10


Stephen La Rocque lui répond.
The intersection of a line and a circle 2006-02-02
Bernice pose la question :
if i am given an equation of a circle and 2 points in a line how do i know if the line intersects the circle and how do i determine the points of intersection
Chris Fisher 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.
The points of intersection of two graphs 2004-11-05
Benjamin pose la question :
How do I find the points of intersection of the two functions:
1) y =
2 - e-x 2) y = 1 + x2

Harley Weston lui répond.
The intersection of planes 2004-09-07
Joshua pose la question :
I was wondering about the intersection of planes. Can planes intersect?
Penny Nom lui répond.
The intersection of two graphs 2004-07-28
JJ pose la question :
Is there a way to find the intersections of these graphs algebraically?

x^2 + y = 4 & 2x - y = 1

I got (1.45, 1.9) and (-3.45, -7.9) with a graphing calculator.

AND THESE...

y = 3.29x & y = 5.5(x^0.5)+ 10000

I got x at 3133 with a graphing calculator.

Penny Nom lui répond.
The intersection of two graphs 2004-03-31
Benjanim pose la question :
How do I find the points of intersection of the two functions:

1) y = 2 - (e^-x)
2) y = 1 + (x^2)

I know that I have to set them equal to each other, but I can't solve for x. Please help :-)

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.
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.
Can 2 vertical planes intersect? 2003-09-06
Erin pose la question :
My question is can 2 vertical planes intersect?
Penny Nom lui répond.
The intersection of conics 2002-12-19
Glenda pose la question :
We are studying systems of equations where two conic sections are the two equations that we are solving simultaneously. We were studying the number of solutions that are possible if you have an ellipse and a parabola. We all agree that there can be none, one, two, three or four solutions. The question that the students had for me was whether or not a portion of an ellipse and a parabola can overlap and thereby allow an infinite number of solutions. What should I tell them?
Chris Fisher and Harley Weston lui répond.
Diagonals in a polygon 2002-04-10
Murray pose la question :
If you have a regular polygon with n sides and you draw all (n-3)n/2 diagonals how many intersection will they form with each other and how many sections will they devide the polygon into.
Caude Tardif and Chris Fisher lui répond.
If you conect all the vertices of a regular n-gon... 2002-04-01
Murray pose la question :
If you conect all the vertices of a regular n-gon with lines you will have (n-3)(n/2) lines inside the polygon. I want to find out how many sections these lines divide the polygon into and how many intersections they have with each other.
Claude Tardif lui répond.
Intersection of perpendicular cylindrical surfaces 2001-07-31
Charlie pose la question :
Please consider two right circular cylinders, perpendicular one to the other, and of unlike radii in a 3 dimensional Cartesian space with mutually perpendicular x,y,z axes. If one cylinder is centered on the y axis with radius ra, and the other on the z axis with radius rb, then the expression for the first surface would be x2 + z2 = ra2, y = any number. Likewise, the second cylinder's surface would be x2 + y2 = rb2, z = any number.

It is my intent to define the curve at the intersection of these two cylindrical surfaces. From sketching the conditions it appears that this intersection resembles an ellipse folded about its minor axis.


Chris Fisher 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.
A point that a group of lines pass through 2000-12-05
Ross pose la question :
A point that a group of lines pass through is called a________?
Chris Fisher 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.
Notation 1999-09-03
Judy Gray pose la question :
My name is Judy Gray. I guess the level on this would be about middle school, and I am an other!! I've been out of school for alot of years. I have a couple of questions, I guess.
  1. What does an equal (=) with a slash through it mean? I put intersects, but I think I'm wrong.

  2. What is the symbol of a small n? Only the symbol is wider. Example: If A = {1.2} B = {2,3} then what is A (n) B? Can you make sense out of that?

  3. What is the equation of the y-axis?

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.
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.

Where do 2^x and x^2 intersect? 1996-07-23
Darin M Selfridge pose la question :
The intersecting points of y=2^x and y=x^2, graphed along with x^2=2^x, are obviously three... (2,4), (4,16) and (?,?). I am having problems figuring out the value, and even an equation for the (?,?). Can you help?
Harley Weston Chris Fisher lui répond.
 
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