SOLUTION: Find an equation in standard form for the ellipse whose minor axis endpoints are(3,-6) and (3,4) and major axis length is 12.

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Question 699404: Find an equation in standard form for the ellipse whose minor axis endpoints are(3,-6) and (3,4) and major axis length is 12.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation in standard form for the ellipse whose minor axis endpoints are(3,-6) and (3,4) and major axis length is 12.
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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=1, a>b, (h,k)=(x,y) coordinates of center
For given ellipse:
x-coordinate of center=3
y-coordinate of center=(-6+4)/2=-1 (midpoint)
center: (3,-1)
given length of major axis=12=2a
a=6
a^2=36
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length of minor axis=10 (-6 to 4)=2b
b=5
b^2=25
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Equation of given ellipse:
%28x-3%29%5E2%2F36%2B%28y%2B1%29%5E2%2F26=1