SOLUTION: Find an equation in standard form for the ellipse with the vertical major axis of length 18, and minor axis of length 16.

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Question 755691: Find an equation in standard form for the ellipse with the vertical major axis of length 18, and minor axis of length 16.

Answer by lwsshak3(11628) About Me  (Show Source):
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Find an equation in standard form for the ellipse with the vertical major axis of length 18, and minor axis of length 16.
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standard form of equation for an ellipse with vertical major axis:
%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1, a>b, (h,k)=(x,y) coordinates of center.
assumed center: (0,0) (Please specify next time)
length of major axis=18=2a
a=9
a^2=81
length of minor axis=16=2b
b=8
b^2=64
Equation of given ellipse
x%5E2%2F64%2By%5E2%2F81=1