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Nataly [62]
3 years ago
10

Estimate the time it would take you to drive 361 miles at 42 miles per hour. Round to the nearest hour.

Mathematics
1 answer:
polet [3.4K]3 years ago
8 0

Answer:

It would take you 9 hours

Step-by-step explanation:

Speed (s) = Distance (d) / Time (t)

given that; Speed = 42 miles/hour

                 Distance = 361 miles

42 miles/hour = 361 miles / Time (t)

Time (t) * 42 miles/hour = 361 miles

Time (t) = 361 miles / 42 miles/hour

Time (t) = 8.59 hours

             ≈ 9 hours (to the nearest hour)

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Write an equation of a line parallel to y = 5x + 4 that passes through (-1, 2)
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The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

Step-by-step explanation:

The parallel lines have:

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The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept

∵ The equation of the given line is y = 5x + 4

∴ m = 5 and b = 4

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∴ Their slopes are equal

∴ The slope of the parallel line = 5

- Substitute the value of the slope in the form of the equation

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- To find b substitute x and y in the equation by the coordinates

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∴ x = -1 and y = 2

∵ 2 = 5(-1) + b

∴ 2 = -5 + b

- Add 5 to both sides

∴ 7 = b

- Substitute the value of b in the equation

∴ y = 5x + 7

The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

Learn more:

You can learn more about the equations of the parallel lines in brainly.com/question/9527422

#LearnwithBrainly

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