18. find the center, vertices, and foci of the ellipse with equation x squared divided by 225 plus y squared divided by 625 = 1. (5 points)

Center (0,0)

Vertices (-15,0), (15,0), (0,-25), (0,25)

Foce (0,-20), (0,20)

Step-by-step explanation:

You are given the ellipse equation

The canonical equation of ellipse with center at (0,0) is

So,

Hence, the center of your ellipse is at (0,0) and the vertices are at points (-15,0), (15,0), (0,-25) and (0,25)

This ellipse is strengthen in y-axis, so

and the foci are at points (0,-20) and (0,20).

9 x 8 divided by (5-3)=36