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lidiya [134]
3 years ago
15

Solve the equation. Please show your work.2(-5x+7)=-6

Mathematics
2 answers:
just olya [345]3 years ago
5 0

2 \times  - 5x =  - 10x
2 \times 7 = 14
- 10x  + 14 =  - 6
- 14
- 10x =  - 20
x = 2
vladimir2022 [97]3 years ago
4 0

Answer:

x = 2

Step-by-step explanation:

2 (-5x + 7) = -6  (original problem)

-10x + 14 = -6  (distributive property)

         -14    -14  (inverse operation

-10x = -20  (addition)

-1/10 x -10x = -20 x -1/10  (inverse operation)

x = -20/-10 (multiply)

x = 2  (simplify)

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Scale factor of area is the square of the scale factor of length

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Reason:

The given parameters are;

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Required;

Part A

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The initial side length, given to the nearest tenth, <em>s</em>, is the square root of the area, <em>A</em>, given as follows;

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The side length of the new garage, s = √(555) ≈ 23.6

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Part C

The percentage increase is given as follows;

The \ percentage \  increase \ in \ length = \dfrac{New \ length - Initial \ length}{Initial \ length }

The \ percentage \  increase \ in \ length = \dfrac{\sqrt{555}  - \sqrt{370} }{\sqrt{370}  } \times  100 \approx 22.5 \%

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