Which system of inequalities is shown in the graph?

A

Step-by-step explanation:

Let's use process of elimination to decide what our answer is.

By looking at the first equation of the linear function, you can tell that it is increasing. That would automatically eliminate B because B states the linear function is -2x-2, decreasing. Now, let's look at the inequalities. Since the shading is under the line, you can see that y is actually smaller than 2x-2, therefore you can eliminate C.

All we have left now is A and D. The only difference between A and D is the inequality for the parabola. Looking at the graph itself, you can see that the y values are less than the parabola because the shading is under the curve. Our answer is A.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2