Let's go through the steps of factoring that Venita should take.
1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a b since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b( )
2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses.
32ab ÷ 8b = 4a
8b ÷ 8b = 1
This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
8b x 4a = 32ab
8b x 1 = 8b
32ab - 8b is the expression she started with, so your factored expression works!
Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.
Answer:y=-1/5-x
Step-by-step explanation:
We know that
The formula for combinations is<span>
C=n!/[(n-r)!*r!]
where
n is the total number of objects you choose from
r is the number that you choose to arrange
in this problem
n=4 </span>aluminum side panels measures
r=2 aluminum side panels measures
<span>
C=4!/[(4-2)!*2!]----->
C=4!/[2!*2!]---> (4*3*2!)/(2!*2*1)
C</span>=6
1) 8 ft x 10 ft
2) 8 ft x 12 ft
3)8 ft x 15 ft
4) 10 ft x 12 ft
5) 10ft x 15 ft
6) 12 ft x 15 ft
additionally, we have each measure with itself
7) 8 ft x 8 ft
8) 10 ft x 10 ft
9) 12 ft x 12 ft
10) 15 ftx 15 ft
the answer is
10 possible sets
Answer:
1a
2b
3a
4c
5c
6c
7a
8d
9b
10b
11a
12c
13b
14a
15a
Step-by-step explanation:
