SOLUTION: Can you please help me out with this? Write an equation of an ellipse with center (2, 12), vertical major axis of length 18, and minor axis of length 4

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Can you please help me out with this? Write an equation of an ellipse with center (2, 12), vertical major axis of length 18, and minor axis of length 4      Log On


   



Question 635551: Can you please help me out with this?
Write an equation of an ellipse with center (2, 12), vertical major axis of length 18, and minor axis of length 4

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation of an ellipse with center (2, 12), vertical major axis of length 18, and minor axis of length 4
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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
center: (2,12)
length of vertical major axis=18=2a
a=9
a^2=81
length of minor axis=4=2b
b=2
b^4
Equation:
%28x-2%29%5E2%2F4%2B%28y-12%29%5E2%2F81=1