SOLUTION: the major axis is 16 units long and parallel to the x-axis. the center is (5,4) and the minor axis is 9 units long.

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Question 691791: the major axis is 16 units long and parallel to the x-axis. the center is (5,4) and the minor axis is 9 units long.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
the major axis is 16 units long and parallel to the x-axis. the center is (5,4) and the minor axis is 9 units long
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Standard form of equation for an ellipse with horizontal major axis: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1, a>b, (h,k)=(x,y) coordinates of the center.
guven center: (5,4)
given length of horizontal major axis=16=2a
a=8
a^2=64
given length of minor axis=9=2b
b=9/2=4.5
b^2=20.25
Equation of given ellipse: %28x-5%29%5E2%2F64%2B%28y-4%29%5E2%2F20.25=1