Geometry :(

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

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,
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:


Please give me the answer ASAP. ;)

I need help with this problem:


Please give me the answer ASAP. ;)

I need help with this problem:


Please give me the answer ASAP. ;)

I need help with this problem:


Please give me the answer ASAP. ;)

i don't understand the equation?

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. geometry

    Decide which one of the following statements is false. a. any three points lie on a distinct line. b. three noncollinear points determine a plane. c. a line contains at least two points. d. through any two distinct points there

  2. maths

    A survey o 85 students asked them about the subjects they liked to study 35 students liked maths,37liked history,26 liked physics,20 liked maths and history,14 liked maths and physics,2 liked all the subjects. a) how many of these

  3. algebra

    Consider the scatter plot shown. Which shows the line of best fit? Explain your reasoning. A scatter plot is shown in the xy-plane. The values on the x-axis range from 0 to 9 in increments of 1 and the values on the y-axis range

  4. math

    For 1-10, determine whether the lines are parallel, perpendicular or neither. One line passes through the points (-1, 4) and (2, 6); another line passes through the points (2, -3) and (8, 1). One line passes through the points (4,

  1. Geometry

    Okay heres the pic. There is a plane with points B,D, and E.those [oints are collinear in the plane. And also outside of the plane is points A, and C. and those points are collinear outside of the plane.thought Line AC intersect

  2. slope(algebra 1)

    i know that slope is rise over run, but how do i find the slope of a line with data points with a positive correlation that vary on the line? because there are points that the line doesn't go through. the data points represent

  3. Geometry

    I can find the perimeter and area of polygons in the coordinate plane. Find the area and perimeter of trapezoid ABCD if the vertices are A(-2,5) B(8,5) C(-4,-1) and D (4,8) Find the area and perimeter of a triangle whose vertices

  4. Algebra

    Given a line containing the points(1,4), (2,7) and (3,10) determine that slope-intercept form of the equation, provide one additional point on this line, and graph the funtion. Start by putting the first point into point-slope

  1. math help & correction

    Problem #1 Is this correct or wrong? Find the slope of the line passing through the points(-1, -1)and(-1, 2). Write the equation of the line. For this one I KEEP GETTING Y= - (3)/(2)x-2.5 Problem #2 Find the y-intecept and slope

  2. Algebra

    12. Determine if the following is a conjuction or disjunction. y + 4 < -1 or y + 2 > 8 (Points : 1) 13. State how you determined if the combination above was a conjunction or disjunction. (Points : 2) 14. Solve the problem. (Hint:

  3. Math

    in a class of 60 students 30 like maths 25 like physics 30 like chemistry. if 10 like both physics and maths 5 like maths and chem and 5 like phy & chem and 3 like all the subjects. find student like none of subject of if 100

  4. calculus

    1. Consider the function f(x) = X^(4/3) +4x^(1/3) on the interval -8 ≤ x ≤ 8. a. Find the coordinate of all points at which the tangent to the curve is a horizontal line. b. Find the coordinate s of all points at which the

You can view more similar questions or ask a new question.