Guided Practice The expression πr2hpi r squared h represents the volume of a cylinder, where r is the radius and h is the height. Suppose you want to see how the volume is impacted when you double the height. Which expression represents the volume of the cylinder with a height that is twice the length of the original length?

A.
π(2r)2hpi left parenthesis 2 r right parenthesis squared h

B.
(2π)r2(2h)left parenthesis 2 pi right parenthesis r squared left parenthesis 2 h right parenthesis

C.
(πr2h)2left parenthesis pi r squared h right parenthesis squared

D.
πr2(2h)pi r squared left parenthesis 2 h right parenthesis

D.

πr2(2h)pi r squared left parenthesis 2 h right parenthesis

Step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)