Question 553903: Find an equation of the ellipse centered at (0,0), with a vertex at (9,0) and co-vertex at (0,5).
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find an equation of the ellipse centered at (0,0), with a vertex at (9,0) and co-vertex at (0,5)
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Equation is that of an ellipse with horizontal major axis of the standard form:
(x-h)^/a^2+(y-k)^2/b^2=1, a>b, with(h,k) being the (x,y) coordinates of the center.
..
length of horizontal major axis=18=2a
a=9
a^2=81
..
length of minor axis=10=2b
b=5
b^2=36
..
Equation of ellipse:
x^2/81+y^2/36=1
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