The answer is 1x because -10 divided by -10 is 1 so add the x to get 1x
Like terms have the same variable and power. The sum of the two polynomials 
is 
.
<h3>What are Like terms?</h3>
Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
We know that in order to find the sum of the two polynomials we need to add or subtract the like terms, therefore, the sum of the polynomials can be done as,
Hence, the sum of the two polynomials is .
Learn more about Like Terms:
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Answer:
16
Step-by-step explanation:
To solve this equation, we need the formula for perfect squares:
or
<em>this is the formula we will use because the signs match the one in the question</em>.
Knowing these, we can set up an equation that assumes that the answer we will end up with is a perfect square.
Work:
- this is the setup for being able to solve for the unknown
, now we need to solve for .
(I replaced 
with 
because I'm setting up this question to be a perfect square).
- multiply the left side. Remember that your answer will not be
, but 
.
- Divide like terms and isolate the variable. In this case,
and 
are on both sides, so dive them and they will be canceled out.
- divide by
and you will have your value for .
- Now we plug into our original equation equation for perfect squares.
Our final answer is 16.
Answer: The percentage increase in perimeter is 7%.
Step-by-step explanation:
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(length + width)
The original length of the rectangle is 20 and the original width is 30. The original perimeter of the rectangle would be
Perimeter = 2(20 + 30) = 100
The length of the rectangle is increased by 10 percent. It means that the new length would be
20 + (0.1 × 20) = 22
The width of the rectangle is increased by 5 percent. It means that the new width would be
30 + (0.05 × 30) = 31.5
The new perimeter of the rectangle would be
Perimeter = 2(22 + 31.5) = 107
The increase in perimeter is
107 - 100 = 7
The percentage increase in perimeter is
7/100 × 100 = 7%
Answer: 243.25.
Step-by-step explanation: To divide by ten is to move the decimal point one digit to the left. Thus, 2432.5/10 is 243.25.
