Question

if the focus of an ellipse are (-4,4) and (6,4), then the coordinates of the enter of the ellipsis are

Answer 1

I’m sorry but I literally dunno

Answer 2

Answer:

The center is (1,4)

Step-by-step explanation:

The coordinates of the center of an ellipse are the coordinates that are in the middle of the two focus.

Then if we have a focus on $(x_1,y_1)$ and $(x_2,y_2)$, we can say that the coordinates for x and y can be calculated as:

$x=\frac{x_1+x_2}{2}\\ y=\frac{y_1+y_2}{2}$

So, replacing $(x_1,y_1)$ by (-4,4) and $(x_2,y_2)$ by (6,4), we get that the center is:

$x=\frac{-4+6}{2}=1\\ y=\frac{4+4}{2}=4$