Point D is the midpoint of HJ. Point D is located at (-3,4) and point His located at (9,-6). Where is point J located?

(-15,14)

Step-by-step explanation:

as the question states, d is a mid point. so, if there is a -12 difference in x, then you must apply that to d to create the opposite point. the same goes for y but its a +10 difference. when you apply it, d is (-15,14)

Point J is located at (-15, 13)

Step-by-step explanation:

-3 (the x of point D) is 12 points below 9 (the x point of H). 12 below -3 would be -15, making that the x of point J. 4 (the y of point D) is 10 points above -6 (the y of point H), therefore the y of point J would be 13. So, the x and the y together are (-15, 13).

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 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.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

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

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

answer: it is 8

step-by-step explanation:

you know why its 8