What is the coordinate of the midpoint of line segment q(-3,14) and r(7,5)

We can find the midpoint by using the two given coordinates and finding the average between them.

We will find the average between the x coordinates and the y coordinates.

We are given these two coordinates of line segment QR: (-3, 14) and (7, 5). Find the midpoint by finding the average (or mean) between the x coordinates (-3 and 7), and the y coordinates (14 and 5).

Find the average by adding up the two coordinates then dividing the answer you get by 2 (because you added two numbers).

x coordinates average: -3 + 7 = 4, 4/2 = 2; their average is 2

y coordinates average: 14 + 5 = 19, 19/2 = 9.5; their average is 9.5 (or 19/2)

Take the two averages and put them together so your answer is: the coordinate of the midpoint of line segment QR is (2, 19/2).

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.