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4 years ago

Solve for x: −3|x + 7| = −12

2 answers:

8 0

-3|x+7|= -12
⇒ |x+7|= -12/(-3)
⇒ |x+7|= 4
⇒ x+7= 4 or x+7= -4
⇒ x= 4-7 or x= -4 -7
⇒ x= -3 or x= -11

Final answer: x= -3 or x= -11~

kykrilka [37]4 years ago

4 0

-3Ix + 7I = -12 (divide -3 from each side)

Ix + 7I = -12/3

Ix + 7I = -4

x + 7 = -4 or -x - 7 = -4

x = -11 or -x = 3
x = - 3

x = -3 or -11

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Answer:

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Step-by-step explanation:

The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,

<BAC + <ABC = <ACD

Substitute,

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Simplify,

9y + 11 = 146

Inverse operations,

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Using the numbers 5 8 and 24 create a problem using no more than four operations addition subtraction multiplication division sq

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Step-by-step explanation:

We are given the numbers 5 , 8 , 24.

Using these numbers and maximum four operations given, we need to find the problem having a rational and irrational solution.

Now, applying two operations namely division and squaring, we define the following problem having a rational solution.

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Further, applying only one operation namely square root, we define the problem having an irrational solution.

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Hence, the problems $(\frac{24}{8})^{2}$ gives a rational solution and $\sqrt{5}$ gives an irrational solution.

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