SOLUTION: what is an equation of an elipse with major axis endpoints (2,8) and (2,-4) and mior axis of length 10 lucy3430@gmail.com

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Question 673221: what is an equation of an elipse with major axis endpoints (2,8) and (2,-4) and mior axis of length 10
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Answer by lwsshak3(11628) About Me  (Show Source):
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what is an equation of an elipse with major axis endpoints (2,8) and (2,-4) and minor axis of length 10
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This is an ellipse with vertical major axis.
Its standard form of equation: %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 ellipse:
center: (2,2)
length of vertical major axis=12 (-4 to 8)=2a
a=6
a^2=36
given length of minor axis=10=2b
b=5
b^2=25
Equation of given ellipse:
%28x-2%29%5E2%2F25%2B%28y-2%29%5E2%2F36=1