SOLUTION: please help me find an equation for the ellipse that satisfies the given conditions. Endpoints of minor axis (0, ±6), distance between foci 14

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Question 740497: please help me find an equation for the ellipse that satisfies the given conditions.
Endpoints of minor axis (0, ±6), distance between foci 14

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
please help me find an equation for the ellipse that satisfies the given conditions.
Endpoints of minor axis (0, ±6), distance between foci 14
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Equation is that of an ellipse with horizontal major axis.
Its standard form: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1, a>b, (h,k)=(x,y) coordinates of center.
For given ellipse:
center: (0,0)
b=6 (distance from center to end points of minor axis)
b^2=36
c=7 (distance from center to foci)
c^2=49
c^2=a^2-b^2
a^2=c^2+b^2=49+36=85
Equation of given ellipse:
x%5E2%2F85%2By%5E2%2F36=1