SOLUTION: Write the equation of a vertical ellipse with the center at (3,4) and having a length of the major axis as 40 and the length of the minor axis as 30

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Question 633569: Write the equation of a vertical ellipse with the center at (3,4) and having a length of the major axis as 40 and the length of the minor axis as 30
Answer by lwsshak3(11628) About Me  (Show Source):
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Write the equation of a vertical ellipse with the center at (3,4) and having a length of the major axis as 40 and the length of the minor axis as 30.
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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 the center
2a=length of vertical major axis=40
a=20
a^2=400
..
2b=length of minor axis=30
b=15
b^2=225
.
Equation of given ellipse:
%28x-3%29%5E2%2F225%2B%28y-4%29%5E2%2F400=1