SOLUTION: Find an equation of the ellipse centered at (0,0), with a vertex at (9,0) and co-vertex at (0,5).

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)
**
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
RELATED QUESTIONS
Write an equation of an ellipse centered at the origin, satisfying the given conditions. (answered by lwsshak3)

Could you please ....Write an equation of the ellipse with center at (0, 0), vertex at... (answered by lwsshak3)

PLEASE HELP?? Thank you SO MUCH!!! Write the equation that best represents an ellipse... (answered by richwmiller)

How do i find the equation of an ellipse with the vertex at (0,-10) and the co-vertex at... (answered by KMST)

Write the equation of a hyperbola centered on the origin with a co-vertex at (0, -8) and... (answered by josgarithmetic)

Write an equation of an ellipse with center at (0, 0), co-vertex at (-4 , 0), and focus... (answered by KMST)

An ellipse has a vertex at (0, �5), a co-vertex at (�3, 0), and a center at the origin.... (answered by Theo)

An ellipse has a vertex at (0, -5), a co-vertex at (�3, 0), and a center at the origin.... (answered by greenestamps)

Write an equation of an ellipse in standard form with the center at the origin and with... (answered by MathLover1)