Drag the tiles to the correct boxes to complete the pairs.
jennifer has carpet in her square bedroom. she decides to also purchase carpet for her living room which is rectangular in shape and 9 feet longer than her bedroom.

the area of the carpet required in the living room is given by the quadratic expression below, where x represents the side length, in feet, of the carpet in the bedroom.

match each part of the expression with what it represents.

the width of the carpet
in the living room

the increase in the area
of carpet needed for the
living room

the area of the carpet
in the bedroom

the length of the carpet
in the living room

the monomial, x, a factor of
the expression x2 + 9x
arrowboth

the second-degree term of
the expression x2 + 9x
arrowboth

the first-degree term of
the expression x2 + 9x
arrowboth

the binomial, (x + 9), a factor
of the expression x2 + 9x
arrowboth

Find dy/dx using implicit differentiation ln(20+e^xy)=y

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.

Factor the expression using gcf 9b+45