







(3d) Whether line segment intersects triangle 
20190413 

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 
20181111 

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 y2x5 cuts the curve y=x^2 +kx+11" please Penny Nom lui répond. 





Two curves 
20180923 

Megan pose la question : How do i find the interception points of xy=2 and y=x+3? Many thanks! Penny Nom lui répond. 





The intersection of a curve and a line 
20180308 

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 
20170813 

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 
20170511 

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 
20151209 

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 
20150516 

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 
20130911 

Kenneth pose la question : I was wondering, is there a relationship between the number of sides of a regular ngon 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 
20130502 

Bianca pose la question : Find the sets of values of k for which the line y=kx4 intersects the curve y=x^22x at two distinct points. Penny Nom lui répond. 





The intersection of two graphs 
20100627 

Austin pose la question : In depth explanation of how to find the intersection points of functions y=4t+300 and y=4.9(t5)^2+300 Stephen La Rocque lui répond. 





The angle of intersection between two lines 
20100325 

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 
20100306 

Gloria pose la question : how would you prove A intersect B =X iff A = X and B = X Tyler Wood lui répond. 





The point of intersection of the pair of straight lines 
20091119 

Stephanie pose la question : Find the point of intersection of the pair of straight lines:
y=3x9
y=4x+2
x = _______ and y = ________
I am totally confused. Please help Robert Dawson lui répond. 





The intersection of two graphs 
20091030 

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 
20090902 

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 
20090727 

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 
20090716 

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 3x3y4= 0 and 3x+y6=0. Janice Cotcher lui répond. 





The intersection of two lines 
20090130 

kaylee pose la question : how do you find and graph the intersect of these two equations:
y=2x4 (and) 2y=x
thanks,
kaylee Stephen La Rocque lui répond. 





The point of intersection of the straight lines 
20090118 

Kieran pose la question : Find the point of intersection of the straight lines
y=2x+4, and y+2x16=0 Robert Dawson and Penny Nom lui répond. 





(a x b) intersect (b x a) 
20090108 

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. 





The empty set 
20080929 

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 
20080818 

Katie pose la question : Q: A Triangle is positioned with one side on the xaxis, 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. 





Finding equations, intersection point of two lines at right angles 
20070922 

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 coordinates of D. Stephen La Rocque lui répond. 





The intersection of two planes 
20070531 

Sarim pose la question : How to find a intersection of two planes? Penny Nom lui répond. 





Two lines intersect at a right angle 
20070420 

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 
20070412 

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 
20070228 

Tamara pose la question : I was told to make a graph to help solve this question. I was given two equations. One was x2y=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 
20070118 

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 
20060820 

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 
20060818 

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 
20060202 

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. 





The points of intersection of two graphs 
20041105 

Benjamin pose la question : How do I find the points of intersection of the two functions:
1) y = 2  ex
2) y = 1 + x2 Harley Weston lui répond. 





The intersection of planes 
20040907 

Joshua pose la question : I was wondering about the intersection of planes. Can planes intersect? Penny Nom lui répond. 





The intersection of two graphs 
20040728 

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 
20040331 

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 
20040129 

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 
20031021 

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. 





The intersection of conics 
20021219 

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 
20020410 

Murray pose la question : If you have a regular polygon with n sides and you draw all (n3)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 ngon... 
20020401 

Murray pose la question : If you conect all the vertices of a regular ngon with lines you will have (n3)(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 
20010731 

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 x^{2} + z^{2} = ra^{2}, y = any number. Likewise, the second cylinder's surface would be x^{2} + y^{2} = rb^{2}, 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=2x4 and y=x1 intesect? 
20010406 

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=2x4 and y=x1 intesect? Penny Nom lui répond. 





A point that a group of lines pass through 
20001205 

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 
20000302 

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)x1. (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 sub1theta 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 
19990903 

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.  What does an equal (=) with a slash through it mean? I put intersects, but I think I'm wrong.
 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?
 What is the equation of the yaxis?
Penny Nom lui répond. 





Dividing a Circle 
19990412 

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 
19981203 

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 
19981122 

Dave Rasmussen pose la question : I am a teacher of secondary mathematics with a question about the uses of Three Dimensional Coordinate 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. 
19980210 

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. 
19971210 

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? 
19971008 

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? 
19960723 

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. 

