Answer:
Perpendicular line y = (- 8/3)x - 76/3.
Parallel line y = (3/8)x - 1
Step-by-step explanation:
y = 3/8
x + 3
1) Perpendicular line has negative reciprocal slope.
m = - 8/3
y = (- 8/3)x + b
Point (-8, - 4)
- 4 = (- 8/3)*(-8) + b
-4 - 64/3 = b
b = - 76/3
y = (- 8/3)x - 76/3
2) Parallel line has the same slope.
m = 3/8
y = (3/8)x + b
Point (-8, -4)
- 4 = (3/8)*(- 8) + b
- 4 + 3 = b
b = - 1
y = (3/8)x - 1
Here, triangle AEN and ALG are similar.
We know that the ratio of corresponding sides of two similar triangles are equal. So,

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Answer: 5 + x =
I hope this helped!
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- Zack Slocum
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Answer:
<h2>
66 different ways </h2>
Step-by-step explanation:
This is a combination question. Combination has to do with selection. For example if r objects are to be selected from n pool of oblects, this can be done in nCr number of ways.
nCr = n!/(n-r)r!
According to the question, if a radio show can only play 10 records out of 12 records available, this can be done in 12C10 number of ways.
12C10 = 12!/(12-10)!10!
= 12!/2!10!
= 12*11*10!/2*10!
= 12*11/2
= 6*11
= 66 different ways