Answer:

Step-by-step explanation:
Given


Find h(x)
Substitute -7 for x


Absolute values return positive. So:


Substitute y=4x to the second equation:
x^2 + (4x)^2 = 17
x^2 + 16x^2 = 17
17x^2 = 17
x^2 = 17/17
x^2 = 1
x = 1 and -1
When x=1, y=4(1) = 4
When x=-1, y=4(-1) = -4
Thus the solutions would be (1,4) and (-1,-4). That would correspond to D. and A.
Answer:
∠S = 21.10°
∠M = 79.45°
PM = 9.16
Step-by-step explanation:
Here Pythagorean theorem and trigonometry suffice to solve our problem.
From the Pythagorean theorem we get:
and

We solve for
in the second equation and get:


Now since

Therefore

and

And finally again from the Pythagorean theorem:


Thus,
∠S = 21.10°
∠M = 79.45°
PM = 9.16.
Answer:
Step-by-step explanation:
x
y
−
4
0
−
3
1
−
3
−
1
−
2
2
−
2
−
2