Answer: x²+8x+16
Step-by-step explanation:
(x+4)^2=(x+4)(x+4)
Now use distributive property to expand (x+4)(x+4):
(x+4)(x+4)=x²+4x+4x+4(4)
x²+4x+4x+4(4)=x²+8x+16
Problem 37
<h3>Answer: B. 4 & 1/4 gallons</h3>
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Work Shown:
The 3/4 and 1/2 add up to (3/4)+(1/2) = (3/4)+(2/4) = 5/4 = 1&1/4
The whole part 1 is then added to the other whole parts 1 and 2 to get 1+2+1 = 4
Overall, the grand total is 4 & 1/4
An alternative way is to convert each mixed number to a decimal to get 1&1/2 = 1+1/2 = 1+0.5 = 1.5 and 2&3/4 = 2+3/4 = 2+0.75 = 2.75
Add up those decimals 1.5+2.75 = 4.25
then convert that result to a mixed number: 4.25 = 4+0.25 = 4+1/4 = 4&1/4
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Problem 38
<h3>Answer: C. Cubic feet</h3>
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The units for volume follow the template "Cubic _____" where you'll write "feet", "inches", "centimeters" or whatever unit you are using in the blank.
Some other examples:
* cubic miles
* cubic meters
* cubic yards
Answer:
B)
Step-by-step explanation:
If two square matrix, with same dimensions, are inverse of one another, their product will always be the identity matrix with the same dimensions.
The matrix A and B are 2x2, so the result of the product A * B is a 2x2 identity matrix, that is represented as follows:
I = [1 0 ; 0 1]
(First line: 1 0, second line: 0 1)
So the correct option is B)
Answer:
Step-by-step explanation:
<u>Given equation</u>
<u>Solving for h</u>
- A=1/2(B₁+B₂)h
- 2A = (B₁+B₂)h
- 2A/(B₁+B₂)= h
- h = 2A/(B₁+B₂)
