The dimensions of the prism can be 2x, 2x+3 and x+6.
We first factor out the GCF of the trinomial. The GCF of the coefficients is 2. Each term has an x in common as well, so the GCF is 2x.
Factoring out the 2x, we have
2x(2x²+15x+18).
To factor the remaining trinomial, we find factors of 2*18=36 that sum to 15. 12*3 = 36 and 12+3 = 15. We split up 15x into 12x and 3x:
2x(2x²+12x+3x+18)
Now we group together the first two terms in parentheses and the last two:
2x((2x²+12x)+(3x+18))
Factor out the GCF of the first group:
2x(2x(x+6)+(3x+18))
Factor out the GCF of the second group:
2x(2x(x+6)+3(x+6))
Factoring out what these have in common,
2x(x+6)(2x+3)
Answer:
or
Step-by-step explanation:
Given the following expression:

You can follow these steps in order to simplify it:
1. You need to apply Distributive property:

2. And now you must add the like terms. Then:

Therefore you get the following answer:
or
Answer:
scale factor = 5
Step-by-step explanation:
To determine the scale factor calculate the ratio of corresponding sides of the enlargement to the original, that is
scale factor =
=
= 5
Answer:
3
Step-by-step explanation:
Michael must find the smallest number possible that can divide 60 and 45 then take the two quotients after dividing the 2 types of cookies by the smallest number possible.
2 is not possible as 45 is an odd number
3 can divide both 60 and 45
60/3 = 20 oatmeal cookies in each container.
45/3 = 15 chocolate chip cookies in each container.
Do we have to solve for M if so, the answer is
m-37 = 56
m =56 + 37
m = 93
hope it's helpful