Answer:

Step-by-step explanation:
start by squaring both sides:

squaring a square root cancels it out:

solve for x by first adding 8 to both sides:

then divide both sides by 3:

Answer:
Step-by-step explanation:
It is expected the spinner to land on Red 1/5 times.
<u>If the spinner is spun 40 times, then it should land on Red:</u>
<u>And it should not land on red:</u>
- (1 - 1/5)*40 = 4/5*40 = 32 times
Correct choice is D
Answer:
Point B is located at point (2, 4)
Step-by-step explanation:
Since point M is at the center, you find the distance from point A and add that to the other side.
| -1 - 0.5 | = | -1.5 | = 1.5
| -9 - -2.5 | = | -6.5 | = 6.5
Now we can add that to point M to find point B
0.5 + 1.5 = 2
-2.5 + 6.5 = 4
Point B should be at (2, 4)
Answer:
C) They are perpendicular lines.
Step-by-step explanation:
We first need to find the slope of the graph of the lines passing through these points using:

The slope of the line that passes through (−12, 15) and (4, −5) is


The slope of the line going through (−8, −9) and (16, 21) is



The product of the two slopes is

Since

the two lines are perpendicular.