SOLUTION: the ellipse has a horizontal axis of the length 12 and vertical axis of the length 18.what is the equation

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: the ellipse has a horizontal axis of the length 12 and vertical axis of the length 18.what is the equation      Log On


   



Question 664326: the ellipse has a horizontal axis of the length 12 and vertical axis of the length 18.what is the equation
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
the ellipse has a horizontal axis of the length 12 and vertical axis of the length 18.what is the equation.
**
Coordinates of the center are needed to solve this problem. I will assume they are (0,0)
Standard form of an equation for an ellipse with vertical major axis:
%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2%2B1, a>b, (h,k)=(x,y) coordinates of center.
..
given length of vertical major axis=18=2a
a=9
a^2=81
given length of minor axis=12=2b
b=6
b^2=36
equation:
x%5E2%2F36%2By%5E2%2F81%2B1