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2 years ago

|x - 12| = 4 please provide an explanation

Mathematics

1 answer:

geniusboy [140]2 years ago

4 0

Answer: x = 16, x = 8

Step-by-step explanation:

|a| > 0, there are two solutions

|a| = 0, there is one solution

|a| < 0, there are no solutions

So, in this problem, we have two solutions.

In absolute value, the expression inside can be equal to itself OR its opposite.

Ex: |y| = y, |y| = -y

So, we can write two equations:

x - 12 = 4, x = 16

-x+12 = 4, x = 8

Check: |16 - 12| = |4| = 4

Check: |8 - 12| = |-4| = 4

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2 years ago

It takes Jack Frost 5 minutes to fly 35 minutes with the wind. It takes him 7 minutes to go 35 minutes against the wind. Determi

dezoksy [38]

Answer:his speed in still air is 6 miles per minute.

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Step-by-step explanation:

Let x represent his speed in still air.

Let y represent the speed of the wind.

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It means that

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It means that

35 = 7(x - y)

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245 = 35x + 35y

175 = 35x - 35y

Adding both equations, it becomes

420 = 70x

x = 420/70 = 6

Substituting x = 6 into equation 1, it becomes

35 = 5 × 6 + 5y

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3 years ago

Density of 222.50 g and 25.00 cm3

e-lub [12.9K]

Answer:

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Step-by-step explanation:

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