The midpoint of a line segment is at (11, -2). One of the endpoints is located at (19 ,9). What are the coordinates of the other point

3,-13

Step-by-step explanation:

for the x coordinate the difference between 9 and -2 is 11, so the other coordinates x value will be minus 13. for the y coordinate the difference between 19 and 11 is 8. 11-8=3. So your answer is (3,-13)

x = 10     x = -2

Step-by-step explanation:

(x-4)^2 -28 = 8

This is a parabola on the left and a constant line on the right.  The parabola will cross the line twice, so there will be two solutions

see attached

Add 28 to each side

(x-4)^2 -28+28 = 8+28

(x-4)^2  = 36

Take the square root of each side

sqrt((x-4)^2) = ±sqrt(36)

x-4 = = ±6

Add 4 to each side

x-4+4 = 4±6

x = 4+6    x = 4-6

x = 10     x = -2