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3 years ago

33 points!! The line contains the point (4,-2) and is perpendicular to 4x+3y=-6 The equation of the line is:

Mathematics

1 answer:

Deffense [45]3 years ago

5 0

Answer:

y = 3/4 x - 5

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. We find the slope of the given line. Then we can find the slope of the reciprocal.

4x + 3y = -6

Solve for y.

3y = -4x - 6

y = -4/3 x - 2

The slope of the original line is -4/3.

The slope of the perpendicular is 3/4.

Now we need to find the equation of line with slope 3/4 that contains point (4, -2).

y = mx + b

-2 = (3/4)(4) + b

-2 = 3 + b

-5 = b

b = -5

The equation is

y = 3/4 x - 5

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Answer:

8 hours.

Step-by-step explanation:

let x represent number of hours.

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3 years ago

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aniked [119]

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2 years ago

Read 2 more answers

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Lesechka [4]

Answer:

Part a) The linear model that represents the monthly cost of each plan is

Plan A

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Step-by-step explanation:

Part a) Write a linear model that represents the monthly cost of each plan if the customer uses g GB of data

Let

g -----> the GB of data

y -----> the monthly cost

we know that

The linear equation that represent each plan is equal to

Plan A

$y=0.25g+30$ ----> equation A

Plan B

$y=0.15g+40$ ----> equation B

Part b) After how many GB of data will the plans cost the same?

Equate equation A and equation B and solve for g

$0.25g+30=0.15g+40$

$0.25g-0.15g=40-30$

$0.10g=10$

$g=100\ GB$

therefore

The plans cost the same for 100 GB of data

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4 years ago

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ikadub [295]

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Step-by-step explanation:

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3 years ago

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Answer:

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3 years ago