Short Answer: A
Remark
The second cut is going to have the same slope as the original line. The lines are parallel.
Step One
You need to find the slope. That is the main part of this problem. You can pick any 2 points on the graph to do that.
<em>Point one</em>
(- 11, 10) That point is on the upper left of the line
<em>Point Two</em>
The y intercept is a handy point in this question. It is right on the y axis. Each square counts as 2, so it is at (0,6)
<em>Formula</em>
slope = m = (y2 - y1) / (x2 - x1)
<em>Givens</em>
y2 = 10
y1 = 6
x2 = -12 Each square counts as 2 in the x direction.
x1 = 0
<u>Substitute and solve.</u>
m = (10 - 6) / (-12 - 0)
m = 4/ - 12
m = - 1/3
Step Two
Find the y intercept of the new line using the given point.
So far what we have is
y = (-1/3)x + b
The point used for the second line is (0,-2)
-2 = (-1/3)*0 + b
b = - 2
Answer
The second line is
y = (-1/3)x - 2
y = kx
'k' is the constant of proportionality, or otherwise known as constant of variation.
y = 90
x = 3
90 = k(3)
90 = 3k
3k/3 = 90/3
k = 30
The constant of proportionality is 30.
Answer:
-4.41
Step-by-step explanation:
208° is a 3rd-quadrant angle, so its x-coordinate will be negative. Your calculator can tell you that 5 times the cosine of this angle is -4.41, or you can refer to a diagram.
Answer:
choice B
Step-by-step explanation:
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