Find the coordinates of the vertices of the figure formed by each system of inequalities.
y + x ≥ –4
y ≥ x – 6

3y + x ≤ 10

a(1, –5), (–14, 8), (–11, 7)

b(1, 5), (7, 1), (11, 7)

c(1, 7), (–11, 1), (7, –5)

d(1, –5), (7, 1), (–11, 7)

D(1, –5), (7, 1), (–11, 7)

Step-by-step explanation:

The given inequalities are:

y + x ≥ –4

y ≥ x – 6

3y + x ≤ 10

We graph the inequalities as shown in the attachment.

The coordinates of the vertices of the figure formed by the given system of inequalities are:

(1, –5), (7, 1), (–11, 7)

The correct choice is D.

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer