RS is perpendicular to MN and PQ.
We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.
Using the coordinates for M and N, we have:
m=.
Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.
Using the coordinates for points T and V in the slope formula, we have
m=.
This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.
Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.
Answer:
x=-1
Step-by-step explanation:
Answer:
8 1/12
Step-by-step explanation:
13 1/4 - 5 1/3 = (13-5) + (1/4 - 1/3)
= 8 + (4/12 - 3/12)
= 8 1/12
Answer:
(x, y) -> (x+5, y+3)
Step-by-step explanation:
Answer:
15=0 not a real number
Step-by-step explanation:
8+9p=9p-7
+7 +7
15+9p=9p
-9p -9p
15=0