In order to check if the lines are perpendicular, we need to check if their slopes have the following relation (to find the slope we can use the slope-intercept form y = mx + b):
A.
In this option, y = -5 is an horizontal line and x = 2 is a vertical line, therefore they are perpendicular.
B.
First let's find the slope of each line:
These slopes obey the relation stated above, so the lines are perpendicular.
C.
These slopes obey the relation stated above, so the lines are perpendicular.
D.
These slopes obey the relation stated above, so the lines are perpendicular.
E.
These slopes don't obey the relation stated above, so the lines aren't perpendicular.
The correct options are A, B, C and D.
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Answer:
Mutley would start at 2 feet above sea level or +2, he would then travel 12 feet below sea level (-12) to then return to the surface of the ocean (0). The integers from least to greatest: -12, 0, 2. Visual:
-12(dive level) * * * * * * * * * * * 0(sea level) * 2(boat)
Step-by-step explanation:
Using positive and negative integers, we can determine Mutleys journey above, below and at the surface of the ocean. The surface of the ocean represents his 'origin' or starting point, which is 0. The boat is above the surface or +2. When Mutley dives below the surface, he is at a negative level of the ocean. Think of it in terms of a number line - negative numbers are to the left of 0 and positive numbers are to the right of 0. The further we go to the left on the number line, the lower our number. In this case, -12 would be furthest to the left, then 0, followed by 2.
Answer:
x=84
Step-by-step explanation: