SOLUTION: The equation for a circle is x^2+y^2=25 . A triangle is formed inside the circle by the y-axis and the equations y=-1/2x+5 and y=2x-5. Find the coordinates of the vertices of the t

Algebra ->  Finance -> SOLUTION: The equation for a circle is x^2+y^2=25 . A triangle is formed inside the circle by the y-axis and the equations y=-1/2x+5 and y=2x-5. Find the coordinates of the vertices of the t      Log On


   

Question 991210: The equation for a circle is x^2+y^2=25 . A triangle is formed inside the circle by the y-axis and the equations y=-1/2x+5 and y=2x-5. Find the coordinates of the vertices of the triangle.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Note that the -intercepts of the two lines are and . Since the circle is centered at the origin and has a radius of 5, the two intercepts are on the circle. So that is two of your vertices. The third has to be the intersection of the two lines. Solve the 2X2 system for the coordinates of the intersection.

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John

My calculator said it, I believe it, that settles it