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2 years ago

Solve: |x+2|=3 Can someone explain how to do this

Mathematics

1 answer:

katovenus [111]2 years ago

6 0

Hey there!

ORIGINAL EQUATION:
|x + 2| = 3

TRANSLATE:

x + 2 = 3 or x + 2 = -3

SOLVING for: x + 2 = 3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = 3 - 2

CANCEL out: 2 - 2 because it give you 1

KEEP: 3 - 2 because help solve for the current x-value

NEW EQUATION: x = 3 - 2

SIMPLIFY IT!
x = 1

Thus, your answer is: x = 2

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

SOLVING for: x + 2 = -3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = -3 - 2

CANCEL out: 2 - 2 because it give you 0

KEEP: -3 - 2 because it help solve for the current x-value

NEW EQUATION: x = -3 - 2

SIMPLIFY IT!
x = -5

Thus, your answer is: x = -5

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

Therefore, your answer is: x = 1 or x = -5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

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How do you write 22.5% as a fraction in simplest form?

Darya [45]

Answer: 9/40

Step-by-step explanation: To write a percent as a fraction in lowest terms, remember that a percent is a ratio that compares a number to 100.

So here, 22.5% can be written as the ratio 22.5 to 100 or 22.5/100.

Notice however that 22.5/100 is not in lowest terms so we need to multiply the numerator and the denominator of 22.5 by 10 in order to remove the decimal point. When we do this, we will end up with the fraction 225/1000.

The fraction 225/1000 can be written in lowest terms by dividing both the numerator and the denominator by 25 and we get the fraction 9/40.

Therefore, 22.5% can be written as the fraction 9/40.

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2 years ago

Can someone tell me if my answer to this problem is correct, please? And if it isn't how do you solve it?

Mrac [35]

Answer:

Height of tree= 13.8m

Step-by-step explanation:

When finding the value of a in your working, I suggest to leave the answer to 5 significant figures so that your final answer is more accurate. The value of a should be 26.048m to 5 s.f.

Then multiplying 26.048 with sin 32° would give you 13.8m too when rounded off to 3 significant figures :)

I have attached my working too.