SOLUTION: Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10.

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Question 777415: Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10.
Answer by lwsshak3(11628) About Me  (Show Source):
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Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10.
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Given ellipse has a vertical major axis. (gleaned from given foci coordinates)
Its standard form of equation. %28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1, a>b, (h,k)=coordinates of center
..
given length of vertical major axis=10=2a
a=5
a^2=25
b=3 (distance from center to foci)
b^2=9
Equation of given ellipse:
x%5E2%2F9%2By%5E2%2F25=1