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Zepler [3.9K]
2 years ago
15

Under what condition is √x > √25?

Mathematics
1 answer:
kvasek [131]2 years ago
8 0

\sqrt x > \sqrt{25} \qquad( x\geq 0)\\\sqrt x > 5\\x > 25

When x > 25.

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Step-by-step explanation:

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If one side of a square is increased by 8 cm and an adjacent side decreased by 2 cm, a rectangle is formed whose perimeter is 40
sveta [45]
<h3>Answer:  7 cm</h3>

===========================================================

Explanation:

x = side length of the original square (measured in cm).

One side increases by 8 cm to go from x to x+8. At the same time, an adjacent side decreases from x to x-2 (aka it decreases by 2 cm).

The x by x square turns into a x+8 by x-2 rectangle.

L = x+8 = length

W = x-2 = width

P = perimeter of rectangle

P = 2(L+W)

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P = 2(2x+6)

P = 4x+12

The perimeter of this rectangle is 4x+12, which is set equal to the stated perimeter 40 cm. We'll use this to solve for x.

P = 40

4x+12 = 40

4x = 40-12

4x = 28

x = 28/4

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The square originally had side lengths of 7 cm.

Increasing this by 8 cm gets us x+8 = 7+8 = 15 cm. So L = 15.

Also, W = x-2 = 7-2 = 5 cm is the width.

Then note how P = 2(L+W) = 2(15+5) = 40 to help confirm the answer.

4 0
3 years ago
Derek sold her house for $541,600, which was 140% of the amount she paid for it.
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9514 1404 393

Answer:

  $386,857.14

Step-by-step explanation:

You have ...

  sold = 140% × paid

Dividing by 140% gives ...

  paid = sold/1.40 = $541,500/1.40 = $386,857.14

Derek paid $386,857.14 for the property.

8 0
3 years ago
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