SOLUTION: The ellipse is centered at the origin. The length of its horizontal axis is 18, and the length of its vertical axis is 8. What is the equation of the ellipse?
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Question 686944: The ellipse is centered at the origin. The length of its horizontal axis is 18, and the length of its vertical axis is 8. What is the equation of the ellipse? Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! The ellipse is centered at the origin. The length of its horizontal axis is 18, and the length of its vertical axis is 8. What is the equation of the ellipse?
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Standard form of equation of an ellipse with horizontal major axis: , a>b, (h,k) = (x,y) coordinates of center
For given ellipse:
center: (0,0)
length of horizontal major axis=18=2a
a=9
a^2=81
length of minor axis=8=2b
b=4
b^2=16
Equation of given ellipse:
(