<span>3 3/4q=30 </span>Answer: q=8
Answer:

Step-by-step explanation:
Given:
Center of the ellipse is, 
Minor axis length is, 
A vertex of the ellipse is at (1, -3)
Now, distance between the center and the vertex is half of the length of the major axis.
Using distance formula for (-4, -3) and (1, -3), we get:

Therefore, the value of half of major axis is,
. Also,

Now, equation of an ellipse with center
is given as:

Plug in
and determine the equation.

Therefore, the equation of the ellipse is:

First we write equation that consist coordinates of center and radius. That formula goes like this:
(x-x1)^2 + (y-y1)^2 = r^2
x and y are coordinates on any point on circle
x1 and y1 are coordinates of center of circle.
r is radius of that circle. now we need to express our values for center and radius andf square binoms and see what matches in our options.
(x-3)^2 + (y-8)^2 = 5^2
x^2 + y^2 -6x -16y +48 = 0
The answer is first option.