SOLUTION: How do you write the standard form equation given the vertices (0,7) (0,-7) and foci (0,square root 33) (0,- square root 33) please show work

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: How do you write the standard form equation given the vertices (0,7) (0,-7) and foci (0,square root 33) (0,- square root 33) please show work      Log On


   

Question 438203: How do you write the standard form equation given the vertices (0,7) (0,-7) and foci (0,square root 33) (0,- square root 33) please show work
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The center of the ellipse is the origin, and the major axis is along th y-axis.
Here, a = 7 and c = sqrt%2833%29.
==> b%5E2+=+a%5E2+-+c%5E2+=+49+-+33+=+16
==> x%5E2%2F16+%2B+y%5E2%2F49+=+1 is the standard equation.