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3 years ago

Helppppppppppp plssss

Mathematics

1 answer:

Reptile [31]3 years ago

3 0

Answer:

It is the 3rd choice. It is 4 times as big as the smaller cylinder

Step-by-step explanation:

V = πr2h

r - radius

h - height

π - pi

Small cyclinder

= π(3)2(10)

enter into a calucaltor and you get 282.74

Big cyclinder

= π(6)2(10)

enter into a calucaltor and you get 1130.97

Divide 1130 by 282 and you get about 4

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2 years ago

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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:

$y = mx + b$

Where:

m: It's the slope

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On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

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The given line is:

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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:

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ANswer:

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

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