The triangular prism has a volume of 27 cubic units. A triangular prism. What will be the volume of the prism if each side is dilated by a factor One-third? 1 cubic unit 3 cubic units 8 cubic units 9 cubic units

Option (2)

Step-by-step explanation:

Volume of a prism A (preimage) = 27 cubic units

Factor of dilation of the sides of this prism (image) =

Volume scale factor of these prisms =

Since, Volume scale factor = (Scale factor of dilation of the sides)³

                                             =

                                             =

Now from the formula of volume scale factor,

Volume of the image prism = = 3 cubic units

Therefore, Option (2) will be the answer.                                                    

26

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)