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Drupady [299]
2 years ago
8

The length of a rectangle is 2 meters more than its width. The area of the rectangle is 80 square meters. What is the length and

width of the rectangle? A. length = 10 meters, width = 8 meters B. length = 8 meters, width = 6 meters C. length = 20 meters, width = 4 meters D. length = 14 meters, width = 12 meters
Mathematics
1 answer:
insens350 [35]2 years ago
8 0

Answer:

Step-by-step explanation:

Formula

A = L * W

Givens

W = W

L = W + 2

Solution

Area = L*W

Area = (W+2)*W = 80            Remove the brackets.

Area = W^2 + 2W = 80         Subtract 80 from both sides.

Area = w^2+2W-80=80-80  Combine

Area = w^2 +2W-80 = 0        Factor.

Area = (w+10)(w - 8) = 0

W + 10 = 0 won't work

W = - 10 which isn't possible

W- 8 = 0

W = 8

L = 8 + 2 = 10

The answer looks like A

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Answer:

y = 39

Step-by-step explanation:

550 x \pi = \pi r^{2} x 11 + y

550 x \frac{7}{22} = \frac{7}{22} x 11 x 11 + y

550 x \frac{7}{22} x \frac{22}{7} = 11 x 11 + y

550 = 11 x 11 + y

\frac{550}{11} = \frac{11}{11} x 11 + y

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39 = y

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Step-by-step explanation:

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Alex17521 [72]

The last option :) Ask if explanation needed

6 0
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Question 8 (2 points)
SashulF [63]

Answer:

\mathbf{x=\frac{1}{2}} is the solution to the equation: 4x+12-8x=-1+2x+10

The statement is true.

Option A is correct.

Step-by-step explanation:

We need to determine if x=\frac{1}{2} is the solution to the equation: 4x+12-8x=-1+2x+10

Solving the equation first to find value of x

4x+12-8x=-1+2x+10

Combining like terms:

4x-8x+12=2x+10-1\\-4x+12=2x+9

Subtracting 2x on both sides

-4x+12-2x=2x+9-2x\\-4x-2x+12=9\\-6x+12=9

Now, subtracting 12 on both sides

-6x+12-12=9-12\\-6x=-3\\

Divide both sides by -6

\frac{-6x}{-6}=\frac{-3}{-6}\\x=\frac{1}{2}

So, we get  \mathbf{x=\frac{1}{2}}

Therefore we can say that \mathbf{x=\frac{1}{2}} is the solution to the equation: 4x+12-8x=-1+2x+10

The statement is true.

Option A is correct.

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2 years ago
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