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Korvikt [17]
3 years ago
8

Given the points below, are the two lines parallel, perpendicular, or neither.

Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

Answer:

perpendicular  

Step-by-step explanation:

First we need to dtemine the slopes of the line

For line 1

L1: (-4, 6) (-3,-1)

m1 = y2-y1/x2-x1

m1= -1-6/-3+4

m1 = -7/1

m1 = -7

For line 2:

L2: (8,9) (15, 10)

m2  = 10-9/15-8

m2 = 1/8

Take their product

m1 * m2 = -7 * 1/7

m1m2 = -1

Since the product of their slopes is -1, hence they are perpendicular  

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A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $1
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Answers:

To reach the breakeven point, how many attendees will that take?  <u>   117   </u>

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=============================================================

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x = number of attendees

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This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

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Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

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