Question

the equation (y+5)^2/121+(x-9)^2/49=1 represents an ellipse. which point is the center of the ellipse?

Answer 1

(9,-5)

Explanation:

The equation of an ellipse can be represented as

`((x-h)^(2) )/(b^(2)) +((y-k)^(2))/(a^(2)) =1`

where (h,k) is the center.

In
`((y+5)^(2))/(121) +((x-9)^(2))/(49) =1`

We can see the h and k values are 9 and -5 respectively, so the center is (9,-5)