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Blizzard [7]
3 years ago
10

What is the equation of the line that passes through the point(-8,1) and has a slope of -3/4​

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0

Answer:

slope = -3/4

using the formula

y -y1 = m(x -x1)

y -1 = -3/4(x -(-8))

y -1 = -3/4(x +8)

cross multiply

4(y -1) = -3(x +8)

4y -4 = -3x -24

4y = -3x -24 +4

4y = -3x -20

divide both sides by 4

y = -3/4 x -5 (equation of the line)

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I WILL MARK BRAINLIEST A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to buil
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Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable c: number of child bikes.
  • Variable a: number of adult bikes.

Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:

4c + 4a = 100.

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With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:

c + a = 26

20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

More can be learned about a system of equations at brainly.com/question/24342899

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a gymnasium is 88 feet long and 76 wide on a blueprint the gymnasium is 5.5 inches long what is the width of the gymnasium on th
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First we would need to find the portion of the gymnasium to the blueprint to do that please do this:

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Since we know that the gymnasium is 16 times the blueprint, to find the width divide 16 to 76:

76/16 = 4.75

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The width of the blueprint is 4.75 inches

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3 years ago
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