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Nana76 [90]
3 years ago
11

Find the equation of the line that is perpendicular to the given line and passes through the given point.

Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0

Answer:

y = 3x + 2

y = 6x – 3

y = 2/3x + 6

y = –1/3x – 4

y = 2x + 1

Correct answer:

y = 3x + 2

Explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2.  The old slope is –1/3 and the new slope is 3.  Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

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Answer:

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Speed is a scalar quantity which describe the rate of distance moved with time.

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Given that: distance = 2 1/3 miles = \frac{7}{3} miles, time = 3 1/2 minutes = \frac{7}{2} minutes.

Then;

speed = \frac{7}{3} ÷ \frac{7}{2}

          = \frac{7}{3} x \frac{2}{7}

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The car's steady speed is 0.67 miles per minute.

a) when the time is 24 minutes, the distance covered can be determine by:

distance = speed x time

              = \frac{2}{3} x 24

              = 16

distance traveled is 16 miles.

b) When the time is 1 hour (60 minutes), the distance traveled can be determined by:

distance = speed x time

              = \frac{2}{3} x 60

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distance traveled is 40 miles.

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Answer:

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Step-by-step explanation:

Let the given set is A

A = {x: x is a positive counting number less 25}

The set of natural numbers is often termed as the Counting number set.

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Set A will be:

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}

 

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As the givens set A contains 24 elements.

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