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Volgvan
2 years ago
13

A square is cut from a rectangle. The side length of the square is half of the unknown width w. The area of the shaded region is

84 square inches. Write an equation you can use to find the width (in inches).

Mathematics
1 answer:
Virty [35]2 years ago
8 0

Answer:

  • See below

Step-by-step explanation:

<u>The side of the square is w/2, then its area is:</u>

  • A = (w/2)² = w²/4

<u>The shaded area is the difference of areas of the rectangle and the square:</u>

  • 14w - w²/4 = 84

<u>This can be simplified:</u>

  • 56w - w² = 336
  • w² - 56w + 336 = 0

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Answer:

Step-by-step explanation:

Okay so I will explain the first one.

2 to the power of 4 = 2x2x2x2

2 to the power of 6 = 2x2x2x2x2x2

2 to the power of 4 = 2x2x2x2

2^4 = 16

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When you are multiplying powers you add.

+

When you subtract you takeaway.

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So you would do

4+6+4

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Meaning 2 to the power of 14

2x^{14}

So what is 2 to the power of 14.

You would do

2x2x2x2x2x2x2x2x2x2x2x2x2x2

The answer is 16384

You can also use a calculator

GOOD LUCK FOR YOUR TEST!

7 0
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ch4aika [34]

You multiply Q and a to get 240, because 15 x 16 = 240.

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7 0
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Igoryamba

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Step-by-step explanation:

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Hope this helps!!

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