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ehidna [41]
2 years ago
6

. Show ALL work for the following problem... if you write the answer only, you will not get brainlist: 2(x - 2) = 4x - 6(x - 2)

Mathematics
1 answer:
Rom4ik [11]2 years ago
6 0

Distribute 2 to x and -2, and -6 to x and -2

2(x - 2) = 2x - 4

-6(x - 2) = -6x + 12

2x - 4 = 4x - 6x + 12

Simplify. Combine like terms

2x - 4  = (4x - 6x) + 12

2x - 4 = -2x + 12

Isolate the x. Add 4 to both sides, and 2x to both sides

2x (+2x) - 4 (+4) = -2x (+2x) + 12 (+4)

2x + 2x = 12 + 4

Simplify

4x = 16

Isolate the x. Divide 4 from both sides

4x/4 = 16/4

x = 16/4

x = 4

4 is your answer for x.

hope this helps

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A water wheel has a radius measuring between 13 feet and 24 feet. The wheel is able to turn 7π9 radians from its starting positi
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Answer:

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Step-by-step explanation:

The radius measures between 13 feet and 24 feet.

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We need to find the range of distances that the wheel could spin before getting stuck. That is, the length of arc.

Length of an arc is given as:

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Therefore, for 13 feet:

L = \frac{7\pi}{18 \pi} * 2 * \pi * 13\\\\L = 31.76 ft

For 24 feet:

L = \frac{7\pi}{18 \pi} * 2 * \pi * 24\\\\L = 58.64 ft

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1

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