Question

Determine the standard equation of the ellipse. Foci at $(-5,2)$ and $(7,2)$; vertex at $(-8,2)$ Choose the correct equation below. A. $\frac{(x-1)^2}{81} + \frac{(y-2)^2}{45} = 1$ B. $\frac{(x-1)^2}{45} + \frac{(y-2)^2}{81} = 1$ C. $\frac{(x+1)^2}{45} + \frac{(y+2)^2}{81} = 1$ D. $\frac{(x+1)^2}{81} + \frac{(y+2)^2}{45} = 1$

Name: determine the standard equation of the ellipse foci at 52 and 72 vertex at 82 choose the correct equation below a fracx 1281 fracy 2245 1 b fracx 1245 fracy 2281 1 c fracx1245 fracy2281 1 d 45453
Uploaded: 2023-04-04T12:14:44-08:00
Duration: 1 min 56 s
Channel: Donna Densmore
Description: determine the standard equation of the ellipse foci at 52 and 72 vertex at 82 choose the correct equation below a fracx 1281 fracy 2245 1 b fracx 1245 fracy 2281 1 c fracx1245 fracy2281 1 d 45453

          Determine the standard equation of the ellipse.
Foci at $(-5,2)$ and $(7,2)$; vertex at $(-8,2)$
Choose the correct equation below.
A. $\frac{(x-1)^2}{81} + \frac{(y-2)^2}{45} = 1$
B. $\frac{(x-1)^2}{45} + \frac{(y-2)^2}{81} = 1$
C. $\frac{(x+1)^2}{45} + \frac{(y+2)^2}{81} = 1$
D. $\frac{(x+1)^2}{81} + \frac{(y+2)^2}{45} = 1$

$determine the standard equation of the ellipse foci at 52 and 72 vertex at 82 choose the correct equation below a fracx 1281 fracy 2245 1 b fracx 1245 fracy 2281 1 c fracx1245 fracy2281 1 d 45453$

Added by Heather W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Donna Densmore

04/04/2023

Step 1

The foci are given at $(-5,2)$ and $(7,2)$. Since the y-coordinates are the same, the major axis is horizontal. The center of the ellipse $(h,k)$ is the midpoint of the foci. $h = \frac{-5+7}{2} = \frac{2}{2} = 1$ $k = \frac{2+2}{2} = \frac{4}{2} = 2$ So, the Show more…

Show all steps

Thanks for your feedback!

Determine the standard equation of the ellipse. Foci at $(-5,2)$ and $(7,2)$; vertex at $(-8,2)$ Choose the correct equation below. A. $\frac{(x-1)^2}{81} + \frac{(y-2)^2}{45} = 1$ B. $\frac{(x-1)^2}{45} + \frac{(y-2)^2}{81} = 1$ C. $\frac{(x+1)^2}{45} + \frac{(y+2)^2}{81} = 1$ D. $\frac{(x+1)^2}{81} + \frac{(y+2)^2}{45} = 1$