Explain and Show the equation of line perpendicular to y=-1x+2 going through the point (6, 3)

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dondre54

25.09.2021

Mathematics

The new extra processor would take 20 hours to download the movie.

Step-by-step explanation:

This word problem presents two variables: - Processing capacity, dimensionless; - Download time, measured in hours. Both variables exhibit a relationship of inverse proportionality, that is:

$t \propto \frac{1}{n}$

$t = \frac{k}{n}$

Where is the proportionality constant.

Now, let suppose that original processor has a capacity of 1 ( n = 1 ), the proportionality constant is: ( $t = 5\,h$ )

$k = n\cdot t$

$k = (1)\cdot (5\,h)$

$k = 5\,h$

The equation is $t = \frac{5}{n}$ and if time is reduced to 4 hours by adding an extra processor, the processing capacity associated with this operation is: ( $t = 4\,h$ )

$n = \frac{5}{t}$

$n = \frac{5\,h}{4\,h}$

n = 1.25

Then, the extra processor has a capacity of 0.25. The time required for the new extra processor to download the movie is: ( n = 0.25 )

$t = \frac{5\,h}{0.25}$

$t = 20\,h$

The new extra processor would take 20 hours to download the movie.

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