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Pavlova-9 [17]
3 years ago
13

What is the value of a? -2(a - 8) + 6a = 36

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
5 0
     -2(a - 8) + 6a = 36
-2(a) + 2(8) + 6a = 36
     -2a + 16 + 6a = 36
     -2a + 6a + 16 = 36
              4a + 16 = 36
                    - 16  - 16
                       4a = 20
                        4      4
                          a = 5
Romashka-Z-Leto [24]3 years ago
5 0
Distribute -2

-2a + 16 + 6a = 36

Add like terms.

4a + 16 = 36

Factor out 4

4(a+4) = 36

Divide both sides by 4

a + 4 = 9

Subtract 4 on both sides

a = 5
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( -3, -14 ) and ( 0, -9 )
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The slope of the line that passes through the points ( -3, -14 ) and ( 0, -9 ) is 5/3

<h3>How to calculate the slope of the line?</h3>

From the question, the points are given as

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Rewrite the above points properly as ordered pairs

So, we have the following ordered pairs

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The slope of the line is then calculated using the following slope equation

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Where

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Substitute the known values of the ordered pairs in the equation Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have the following equation

Slope = (-9 + 14)/(0 + 3)

Evaluate the sum in the above equation

So, we have the following representation

Slope = 5/3

Hence, the slope of the line is 5/3

Read more about slope at

brainly.com/question/3493733

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Find the slope of ( -3, -14 ) and ( 0, -9 )

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