# Geometry :(

posted by .

this maths problem is wrecking my head....
1.find the points of interesction of the line L and the circle k in the following

L:x-2y=0
K:X Squared + y squared=25

I would solve both equations for y, and then you'll have a system with two equations and two variables:

y = x/2
y = (plusorminus) sqrt(25 - x^2)

Solve the system and you'll have your points of intersection.

Use the substitution method to solve these equations. This is not a linear system because of the exponents in K.
We hve
L: x-2y=0
K: x^2+y^2=25
L is a line with slope 1/2 that goes through the origin.
K is a circle of radius 5 centered at the origin.
From L we have x=2y. Using this for x in K we have
(2y)^2+y^2=25 so 4y^2+y^2=5y^2=25 or,
y=+/-sqrt(5)
Use those values of y in either L or K to solve for the corresponding x values.
Be sure to check the answers by substituting in L and K.

I need help with this problem:

3y=15x-12

I need help with this problem:

3y=15x-12

I need help with this problem:

3y=15x-12

I need help with this problem:

3y=15x-12

i don't understand the equation?

## Similar Questions

1. ### math

How do i find the area of a triangle? For example: A squared + b squared= c squared 8.5 squared + 6.4 squared= c squared 72.25 + 40.96= c squared 113.21=c squared 10.6400188=c even tho i thought this was the answer it is not because
2. ### Math

I need help with this problem. In decimal form, write the ratio of the first 8 consecutive square numbers. 1 squared:2 squared, 2 squared:3squared, 3 squared:4 squared
3. ### math

i am having a minor difficulty i've been stuck for over an hour and don't know what to do i don't know is this right ?
4. ### Math11U

A Pythagorean Triple is a set of integers that satisfy the Pythagorean Theorem, c squared= a squared + b squared. 3,4,5 and 5,12,13 are just two of many examples. Find another, that is not a multiple of the one of the two given, using …
5. ### algebra 2 multiple choice HELP

find f(a), if f(t) = 2t2(squared)-t-2 A. 2(a+t)2(squared)-2t+1-2 B. 2(t+a)2(squared)-2(t+a)-2 C. 2a2(squared)-a-2 D. 4a2(squared)-2a-2 I put (squared) because the two in front of it means it's being squared... please help. thanks!
6. ### maths

The equation of the circle is x(squared)+y(squared)-3x -4=0.Find : (i)the coordinates of its center and the radius (ii) the coordinates of the points at which it cuts the x-axis
7. ### geometry

The equation of a circle is(x-3)squared plus (y+2)squared.The point (8,-2)is on the circle.What is the equation of the line that is tangent to the circle at (8,-2)?
8. ### geometry

If a circle has an area of 25 pi cm squared, find the circumference of the circle?
9. ### Math

Find the shortcut. Solve these problems. Then find and explain a shortcut method for finding the answer. 52(Squared) - 42 (squared) = 82 (Squared) - 72 (Squared) = 122 (Squared) - 112 (Squared) = 312 (Squared) - 302 (Squared) = 892 …
10. ### Geometry

The diameter of circle Z is 5 in. What is its area in terms of pi?

More Similar Questions