What is the image point of (4,−7) after a translation right 4 units and up 5 units?

(8, - 2 )

Step-by-step explanation:

A translation of 4 units right means add 4 to the x- coordinate

A translation of 5 units up means add 5 to the y- coordinate

(x, y ) → (x + 4, y + 5 ) ← translation rule, then

(4, - 7 ) → A'(4 + 4, - 7 + 5 ) → A'(8, - 2 )

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are