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stiv31 [10]
3 years ago
12

Allen runs 8 in 3 hours at a steady pace. how long does it take him to run 3 miles?

Mathematics
1 answer:
Fed [463]3 years ago
5 0
8/3= 2.67 miles per hour
 1.123 hrs, or around 1 hr and 6 min?
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What is the equation of the line that is perpendicular to the
soldi70 [24.7K]

Answer:

Option (4). y = 3x - 5

Step-by-step explanation:

Given question is incomplete; here is the complete question.

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?

y = –1/3x + 5

y = –1/3x + 3

y = 3x + 2

y = 3x − 5

Line given in the graph passes through the points (-3, 2) and (0, 1).

Slope of the given line = \frac{y_{2}-y_1}{x_2-x_1}

                                  m = \frac{2-1}{-3-0}

                                  m = -\frac{1}{3}

Let the equation of a line perpendicular to this line is,

y - y' = m'(x - x') [Given line passes through (x', y')]

By the property of perpendicular lines,

m × m' = -1

(-\frac{1}{3}) × m' = -1

m' = 3

Equation of the perpendicular line will be,

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x - 5

Option (4) will be the answer.

5 0
3 years ago
Look at the pattern.<br><br> What is the next image in the pattern?
sp2606 [1]

By following the pattern the next image in the pattern is (b) since the correct option is (b).

A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers is arranged in a particular way, the arrangement is referred to as a pattern.

From the pattern given: In pattern one, the first column contains 2 blocks and the second column contains 1 block. In pattern second, the first column contains 3 blocks, the second column contains 2 blocks and the third column contains 1 block. In pattern third, the first column contains 4 blocks, the second column contains 3 blocks, the third column contains 2 blocks and the fourth column contains 1 block.

∴ You can observe that block the ks are arranged in descending numbers.

Hence, option (b) is correct.

Learn more about patterns here: brainly.com/question/534678

#SPJ10

7 0
2 years ago
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3 years ago
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The sum of the measures of two complementary angles exceeds the difference of their measure by 86º. Find the measure of each ang
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We will translate the given statement in the problem into 
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The temperature dropped 1.8 degrees celcuis each hour for 4 1/2 hours starting from 8 p.m. if the temperature was 4.6 degrees ce
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Answer:

i think this is not math so change it now

Step-by-step explanation:


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