SOLUTION: Complete for the given equation as directed. (x-3)2/9+(y-6)2/16=1 Center (, ) Length of major axis = Length of minor axis

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Question 637904: Complete for the given equation as directed. (x-3)2/9+(y-6)2/16=1 Center (, ) Length of major axis = Length of minor axis
Answer by lwsshak3(11628) About Me  (Show Source):
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Complete for the given equation as directed. (x-3)2/9+(y-6)2/16=1 Center (, ) Length of major axis = Length of minor axis
**
%28x-3%292%2F9%2B%28y-6%292%2F16=1
This is an equation of and ellipse with vertical major axis
Its standard form: %28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1, (a>b), (h,k)=(x,y) coordinates of center
For given equation:
center: (3,6)
a^2=16
a=√16
a=4
length of major axis=2a=8
..
b^2=9
b=√9
b=3
length of minor axis=2b=6