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BaLLatris [955]
3 years ago
12

Is 1/4(8y-12) equivalent to 2y-12 explain why or why not

Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:

No

Step-by-step explanation:

First simplify the first expression.

Distribute.

1/4(8y-12) = 1/4 * 8y + 1/4 * -12

8y * 1/4 = 8y / 4 = 2y

-12 * 1/4 = -12 / 4 = -3

1/4(8y-12) = 2y - 3

2y - 12 != 2y - 3

So it is not equivalent.

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Answer:

The change in the car's distance is 8 feet

Step-by-step explanation:

* Lets explain how to solve the problem

- A car is driving away from a crosswalk

- The distance d (in feet) of the car from the crosswalk t  seconds

  since the car started moving is given by the formula d = t² + 3.5

- The time increasing from 1 second to 3 seconds

- We need to now the change of the car's distance from the crosswalk

∵ The equation of the distance is d = t² + 3.5

∵ The time is 1 second

∴ d = (1)² + 3.5

∴ d = 1 + 3.5 = 4.5 feet

∵ The time is 3 seconds

∴ d = (3)² + 3.5

∴ d = 9 + 3.5 = 12.5 feet

∵ The change of the distance = d of 3 sec - d of 1 sec

∵ d of 3 sec = 12.5 feet

∵ d of 1 sec = 4.5 feet

∴ The change of the distance = 12.5 - 4.5 = 8 feet

∴ The change in the car's distance is 8 feet

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4 years ago
In the figure, the measure of angle 7 is 57°. What is the measure of angle 8?
pochemuha
Angle (6) + Angle (7) = 180

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Angle (6) = 180 - 57

Angle (6) = 123

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Angle (6) = Angle (8)

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Therefore:

Angle (8) = 123 degrees
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