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Airida [17]
3 years ago
11

Solve for |2x + 4|-1=7

Mathematics
1 answer:
Rudik [331]3 years ago
6 0

Answer:

x = - 6 or x = 2

Step-by-step explanation:

The absolute value function always returns a positive value. However, the expression inside can be positive or negative.

Given

| 2x + 4 | - 1 = 7 ( add 1 to both sides )

| 2x + 4 | = 8, thus

2x + 4 = 8 ( subtract 4 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

OR

-(2x + 4) = 8

- 2x - 4 = 8 ( add 4 to both sides )

- 2x = 12 ( divide both sides by - 2 )

x = - 6

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True

x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True

Hence the solutions are x = - 6 or x = 2

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Answer;

X = 18: AD = 18

Step-by-step explanation:

Here, we want to find the measure of AD

From the given image;

AB = x + 3

AD = x

AC = 24 + 4 = 28

AE = 24

Substituting these values

we have ;

(x + 3)/x = 28/24

24(x + 3) = 28x

24x + 72 = 28x

28x - 24x = 72

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7 0
2 years ago
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Phoenix [80]
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2 years ago
What is the probability that the first marble is blue and the second marble is yellow?
Cloud [144]

Answer:

\frac{1}{14}

Step-by-step explanation:

<u><em>First time drawing:</em></u>

Total outcome is 8

Favorable outcome is 2

The probability that the first marble drawing in random is blue is

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<u><em>Second time drawing (with no replacement): </em></u>

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Favorable outcome is 2

The probability that the second marble drawing in random is yellow is

\frac{2}{7}

<em>The probability that the first marble is blue and the second marble is yellow is</em> \frac{1}{4} × \frac{2}{7} = \frac{2}{28} = \frac{1}{14}

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2 years ago
PROVE THESE TRIANGLES ARE CONGRUENT
jenyasd209 [6]

Answer:

These triangles cannot be proved congruent

Step-by-step explanation:

The theorems for congruence are  SSS SAS ASA AAS. Here, there is only one common side and one common angle marked, therefore you cannot prove congruency.

8 0
1 year ago
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True-False: Please select true or false and click "submit."
harina [27]
A true


because 53•(41•11)=23,903 and (53•41)•11=23,903


Hope this helped
4 0
3 years ago
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