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denpristay [2]
3 years ago
14

Colin walked a distance of 15 miles in 6 hours. Work out out

Mathematics
1 answer:
butalik [34]3 years ago
8 0

Answer:

Colin walked 2.5 miles every hour

Step-by-step explanation:

The answer is 2.5 because 15 divided by 6 is 2.5

P.S Can I have brainliest?

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For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

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m: It's the slope

b: It is the cut-off point with the y axis

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m_ {1} * m_ {2} = - 1

The given line is:

5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3

So we have:

m_ {1} = \frac {5} {2}

We find m_ {2}:m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}

So, a line perpendicular to the one given is of the form:

y = - \frac {2} {5} x + b

We substitute the given point to find "b":

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Finally we have:

y = - \frac {2} {5} x-2

In point-slope form we have:

y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)

ANswer:

y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)

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3 years ago
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