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dmitriy555 [2]
3 years ago
5

The equation of line AB is (y-3)=5(x-4) what is the slope of a line perpendicular to line AB

Mathematics
1 answer:
Softa [21]3 years ago
7 0
Solving for y, we can start by expanding to get y-3=5x-20. Next, we can add 3 to both sides (to separate y), resulting in y=5x-17. To find the slope in the equation y=mx+b, you simply find what you multiply x by, which is 5 in this case. To find a perpendicular slope, you start by making the slope (5 in this case) negative. Next, we find the reciprocal of the number. Since -5 can be written as -5/1, the reciprocal and therefore perpendicular slope is -1/5
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Wo Internet service providers charge an installation fee plus a monthly service fee. The table shows the total costs in dollars)
natka813 [3]

Using linear equations, we determined that:

1. Company A charges less per month

2. After <u>10 months</u> of service, the total costs are the same.

<h3>How to Write Linear Equations?</h3>

We are given that:

  • Number of months is represented as x
  • Total cost is represented as y

Total cost for Company B is represented as y = 45x + 50.

Company B charges $45 per month.

Write an equation in slope-intercept form, y = mx + b, to represent the total cost y (in dollars) for x months of service at Company A. From the table given, using two pairs of values, (2, 180) and (3, 220), find the slope (m).

Slope (m) = change in y/change in x = (220 - 180)/(3 - 2)

Slope (m) = 40

Company A charges $40 per month.

Plug in m = 40 and (x, y) = (2, 180) into y = mx + b, to find the y-intercept, b:

180 = 40(2) + b

180 - 80 = b

b = 100

Substitute m = 40 and b = 100 into y = mx + b:

y = 40x + 100 (equation for Company A)

Make both equations equal to find the value of x, which is the number of months of service that will make the total costs of both company the same.

45x + 50 = 40x + 100

45x - 40x = -50 + 100

5x = 50

x = 10

Therefore, number of months would be 10.

In summary, using linear equations, we determined that:

1. Company A charges less per month

2. After <u>10 months</u> of service, the total costs are the same.

Learn more about linear equation on:

brainly.com/question/2030026

#SPJ1

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The equation of this horizontal asymptote is y=0.

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Therefore the asymptote is the x-axis.

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