i need help very bad

Mathematics
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Write the equation of an ellipse with a major axis of length 8 and co-vertices (0, 3) and (0, -3).

Write the equation of an ellipse with vertices (0, 5) and (0, -5) and co-vertices (2, 0) and (-2, 0).

May 6th, 2015

Given ellipse has a horizontal major axis
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1a>b, (h,k)=coordinates of center
center: (-1,5)
length of horizontal major axis=16=2a


a=8
a^2=64
length of co-vertices=12=2b
b=6
b^2=36
c^2=a^2-b^2=64-36=28
c=√28
foci:(√28,5),(-√28,5)
equation of given ellipse: %28x%2B1%29%5E2%2F64%2B%28y-5%29%5E2%2F36=1

May 6th, 2015

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