7
Find the GCF of the pair of monomials.
32a,48a

The greatest common factor (GCF) of these two monomials is .

Step-by-step explanation:

Rewrite and as the products of the variable and and prime number factors:

Write an expression for the GCF of these two monomials in terms of these factors ('s, , and .) Try to include as many of each factor as possible, as long as the resulting product is present in both monomials.

For example, there are five factor 's in the first monomial but only four in the second monomial. Therefore, include the factor in the GCF for only four times.

The factor appeared once in both monomials. Hence, include for one in the expression for the GCF.

On the other hand, the factor is found in the second monomial but not in the first. Therefore, this factor should not be included in the expression for the GCF.

Therefore, the expression for the GCF would be:

.

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option