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katovenus [111]
3 years ago
8

Solve for x -3/4(x+2)=6 X=?

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
5 0

Answer:

-10

Step-by-step explanation:

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The width of a rectangle is 10 feet shorter than its length. The area of the rectangle is 60 square feet. Find the length and wi
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Answer:

  length: 14.2 ft; width 4.2 ft.

Step-by-step explanation:

Let x represent the length of the rectangle in feet. Then x-10 represents the width, and the area is ...

  area = length×width

  60 = x(x -10) . . . . . substitute the expressions for area, length, width

  60 = x² -10x

  85 = x² -10x +25 . . . . add (10/2)² to complete the square

  85 = (x -5)² . . . . . . . . . rewrite as a square

  √85 = x -5 . . . . . . . . . take the square root. Only the positive root is useful for this problem

  x = 5 + √85 ≈ 14.2

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The length and width of the rectangle are 14.2 ft and 4.2 ft.

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Step-by-step explanation:

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