Can someone me on this question ?

a system of inequalities is shown:

y ≤ x + 6

y ≥ 9x − 9

which point is in the solution set of the system of inequalities shown? explain your answer.

question 2 options:

(-1, 7) because it lies below the boundary line y=x+6.

(3, 2) because it lies above the boundary line y=9x−9.

(3, 10) because it lies below the boundary line y=9x−9 and above the boundary line y=x+6.

(-2, 2) because it lies above the boundary line y=9x−9 and below the boundary line y=x+6.

The answer to your question is: (-2, 2)

Step-by-step explanation:

Data

y ≤ x + 6

x ≥ 9x - 9

Process

Graph the inequalities and find the area where both inequalities crosses.

In the graph the common area is darker.

The only point that lies in the darker area is (-2, 2)

2x+60=

step-by-step explanation:

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.