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Hitman42 [59]
3 years ago
8

A beetle was running along a number line, Then the bug ran from 24 to 78. What distance did it cover? If this run took the bug 9

seconds, What was its average speed?
Mathematics
1 answer:
Margaret [11]3 years ago
3 0

Answer:

it covered 54 and ran 6 per 9 second

Step-by-step explanation:

step 1. 78-24 = 54

step 2. 54/9 = 6

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The length of a rectangle is 3 centimeters less than four times its width. Its area is 10 square centimeters. Find the dimension
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Answer:

W = 2 cm

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Step-by-step explanation:

A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. Its area, the amount of space inside it, can be found using the formula A = l*w. If the area is 10 cm² and the length is "3 cm less than 4 times the width" or 4w - 3, you can substitute and solve for w.

A = l*w

10 = (4w - 3)(w)

10 = 4w² - 3w

Subtract 10 from both sides to make the equation equal to 0. Then solve the quadratic by quadratic formula.

4w² - 3w - 10 = 0

Substitute a = 4, b = -3 and c = -10.

w = \frac{3 +/- \sqrt{(-3)^2 - 4(4)(-10)} }{2(4)} = \frac{3 +/- \sqrt{9 +160)} }{8} =  \frac{3 +/- \sqrt{169} }{8} = \frac{3+/-13}{8}

There are two possible solutions which can be found.

3 + 13 / 8 = 16/ 8 = 2

3 - 13 / 8 = -10/8 = -5/4

Since w is a side length or distance, it must be positive so w = 2 cm.

If the width is 2 cm then the length is 4(2) - 3 = 8 - 3 = 5 cm.

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