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devlian [24]
2 years ago
14

Solve for x: |x − 2| + 10 = 12 (1 point)

Mathematics
2 answers:
stepladder [879]2 years ago
7 0

Answer:

  x = 0 or 4

Step-by-step explanation:

The absolute value function can be resolved into two equations. These one- or two-step equations can be solved in the usual way.

__

<h3>negative argument</h3>

  -(x -2) +10 = 12

  -x = 0 . . . . . . . . . simplify, subtract 12

  x = 0 . . . . . . . . . multiply by -1. Check: 0 -2 is negative.

<h3>positive argument</h3>

  x -2 +10 = 12

  x = 4 . . . . . . . . . simplify, subtract 8. Check: 4 -2 is positive.

The two solutions are x=0 and x=4.

True [87]2 years ago
6 0

Answer:

I think that would be 1

Step-by-step explanation:

Do everything in the lines before anything else. -2 becomes a 2 and then you add that with the 12 and divide 12 on both sides to get one.

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4 years ago
What is 1/2 of 2 3/4?
luda_lava [24]

Answer:

1 3/8

Step-by-step explanation:

First, change the mixed fraction to improper fraction.

2 3/4 = 8/4 + 3/4 = 11/4

1/2 of 11/4 = (11/4)(1/2) = 11/8

11/4 - 11/8 = 22/8 - 11/8 = 11/8

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5 0
3 years ago
If a = 0.6 repeating and b = 0.75, then a x b = blank and a/b = blank
atroni [7]

Answer:

a*b = 1/2

a/ b = 8/9

Step-by-step explanation:

a = 0.66666  and b = 0.75

To multiply it we write the decimal numbers in fraction form

a= 0.666666...

Multiply by 10 on both sides

10 a = 6.66666...

    a = 0.66666...

Subtract the second equation

9a = 6

divide by 9 on both sides

a=\frac{6}{9}=\frac{2}{3}

so 0.6666 = 2/3

Now we convert 0.75 into fraction form

0.75=\frac{0.75}{1}

Multiply top and bottom by 100 to remove decimal

\frac{75}{100} = \frac{3}{4}

so 0.75 is 3/4

a= 2/3  and b = 3/4

a*b = \frac{2}{3} * \frac{3}{4} = \frac{6}{12} = \frac{1}{2}

\frac{a}{b} = \frac{\frac{2}{3}}{\frac{3}{4}} = \frac{2}{3} * \frac{4}{3} =\frac{8}{9}


8 0
3 years ago
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