SOLUTION: Find the center-radius form of an ellipse with vertices at (-2,-1) and (-2,7) and co-vertices at (-4,3) and (0,3)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the center-radius form of an ellipse with vertices at (-2,-1) and (-2,7) and co-vertices at (-4,3) and (0,3)      Log On


   



Question 871542: Find the center-radius form of an ellipse with vertices at (-2,-1) and (-2,7) and co-vertices at (-4,3) and (0,3)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
(-2,-1) and (-2,7)++highlight_green%288%29+ units apart (8/2 = 4)
co-vertices at (-4,3) and (0,3) ++highlight_green%284%29+ units apart (4/2 = 2)
C(-2,3) Midpoint Pt(x,y): ( %28x%5B1%5D+%2B+x%5B2%5D%29%2F2, %28y%5B1%5D+%2B+y%5B2%5D%29%2F2++%29)
%28x%2B2%29%5E2%2F4%5E2+%2B+%28y-3%29%5E2%2F2%5E2+=+1