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DedPeter [7]
3 years ago
13

What is the solution set for |x+3|=5?

Mathematics
1 answer:
valentinak56 [21]3 years ago
7 0

Answer:

  x = -8 and x = 2

Step-by-step explanation:

The given equation resolves into two:

  • x + 3 = 5
  • -(x +3) = 5

The solution to the first can be found by subtracting 3:

  x = 2

The solution to the second can be found by multiplying by -1, then subtracting 3.

  x +3 = -5

  x = -8

The solution set is {-8, 2}.

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a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.
ANEK [815]

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: \mathbf{Length = a -5} and \mathbf{Width = a^2 + 5a + 25}

The area is given as:

\mathbf{Area = a^3 - 125}

Express 125 as 5^3

\mathbf{Area = a^3 - 5^3}

Apply difference of cubes

\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}

\mathbf{Area = (a - 5)(a^2 + 5a + 25)}

The area of a rectangle is:

\mathbf{Area = Length \times Width}

So, by comparison:

\mathbf{Length = a -5}

\mathbf{Width = a^2 + 5a + 25}

Read more about areas at:

brainly.com/question/3518080

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2 years ago
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TEA [102]

Answer:

This is my answer !

Step-by-step explanation:

2 ones 2 hundredths and 5 thousandth

8 0
3 years ago
Two trains leave towns 1250 km apart at the same time and travel toward each other. one train travels 10 km/hr slower than the o
Oksana_A [137]
Here are the rates of the trains:
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3 years ago
The price of a cup of coffee was $2.65 yesterday. Today, the price fell to $2.30 . Find the percentage decrease. Round your answ
Semenov [28]
Percent change = change/original * 100
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Answer:

The solution to this question is 104.25cm²

Step-by-step explanation:

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5 0
3 years ago
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