Plsss help It due tmr plsss
1 answer:
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Answer:
The lines blue and green are perpendicular
Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)
The formula to calculate the slope between two points is equal to
step 1
Find the slope of the blue line
we have the points
(-1,-3) and (0,3)
substitute
step 2
Find the slope of the red line
we have the points
(3,-3) and (4,2)
substitute
step 3
Find the slope of the green line
we have the points
(-4,-1) and (2,-2)
substitute
step 4
Compare the slopes
Blue line ---->
Red line ----.
Green line --->
so
The slope of the blue line and the green line are opposite reciprocal ( their product is equal to -1)
therefore
The lines blue and green are perpendicular
Solving a polynomial inequation
Solving the following inequation:
(x - 8) (x + 1) > 0
We are going to find the sign both parts of the multiplication,
(x - 8) and (x + 1), have when
x < - 8
-8 < x < 1
1 < x
Then we know (x - 8) (x + 1) > 0 whenever (x - 8) (x + 1) is positive
We can see in the figure (x - 8) (x + 1) is positive when x < -8 and x > 1
Then
Answer:B