Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

To find the coordinates of endpoint V, we can use the midpoint formula:

Midpoint formula:
For a line segment with endpoints (x1, y1) and (x2, y2), the coordinates of the midpoint (M) are given by:

M = ((x1 + x2)/2, (y1 + y2)/2)

We are given that the midpoint M is (5, -11) and one endpoint U is (3, 5). Let's plug in these values into the midpoint formula and solve for V:

M = ((3 + x2)/2, (5 + y2)/2)
(5, -11) = ((3 + x2)/2, (5 + y2)/2)

Using the fact that M is (5, -11), we can write two separate equations for the x and y coordinates:

5 = (3 + x2)/2 --> equation 1
-11 = (5 + y2)/2 --> equation 2

To solve for x2, we can multiply both sides of equation 1 by 2:

10 = 3 + x2

Subtracting 3 from both sides gives us:

7 = x2

Therefore, the x-coordinate of endpoint V is 7.

To solve for y2, we can multiply both sides of equation 2 by 2:

-22 = 5 + y2

Subtracting 5 from both sides gives us:

-27 = y2

Therefore, the y-coordinate of endpoint V is -27.

Therefore, the coordinates of endpoint V are (7, -27).