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Law Incorporation [45]
3 years ago
6

The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 54 inches, find the

length.
Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

Answer: 20;

w - width

3w - 1 - length

54 in - perimeter

w + w + (3w - 1) + (3w - 1) = 8w - 2 - perimeter

The equation:

8w - 2 = 54      add 2 to both sides

8w = 56     divide both sides by 8

w = 7

3w - 1 = 3(7) - 1 = 21 - 1 = 20

Answer: The length = 20 in.

Step-by-step explanation:

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= table shows a hot air balloon's height h, in feet, during a descent at various times t, in seconds.
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A. Slope is -12 feet per second

B. Yes, it is constant.

<u>Skills needed: Linear Equations, Substitution and Division</u>

Step-by-step explanation:

1) Solving Part A (we need to find the slope):

  • The slope is \frac{y_2-y_1}{x_2-x_1} --> y_1, y_2, x_1, and x_2 are all values from the table. We know that the left column is the x-values, and the right column is the y-values as that is the conventional way of depicting them.

2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:

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\frac{-60}{5} =-12, so the slope is -12.

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

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