Noah is working on a geometry problem that involves finding the volume of a sphere with a diameter of 9 units. His work is shown below. V = πr3 V = π(9)3 V = π(729) V = 972π cubic units Is Noah’s work correct? Explain. Yes, Noah’s calculations are correct. No, Noah did not simplify correctly. No, Noah used the diameter instead of the radius in the calculations. No, Noah did not use the correct formula for volume of a sphere.

3/6   and 9/18

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)