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irakobra [83]
3 years ago
13

Chose all the properties that were used to simplify the following problem

Mathematics
1 answer:
timofeeve [1]3 years ago
6 0

(a+b) + c = a + (b + c)

re-arrange the numbers - associative property of addition

Answer

Associative property of addition

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10q+5<br><br><br>I need the answer asap
kondaur [170]
To find an expression equivalent to the answer, I simply factored the expression

10q+<span>5
</span><span>10q</span>+<span>5 = 5(2q+1)</span> 

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Ted has a fixed amount of money in his budget for holiday gifts. He decides that his wife and his mother will receive gifts of e
vredina [299]
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3 years ago
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What is the simplified form of 12x/900x²y4z6?
zalisa [80]

Answer:

360xy^2|xz^3|

Step-by-step explanation:

Given expression:

12x \sqrt{900x^2y^4z^6}

\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:

\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

Replace 900 with 30² :

\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:

\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}

\implies 360x|x|\sqrt{y^4}\sqrt{z^6}

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:

\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}

Simplify:

\implies 360xy^2|xz^3|

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0
2 years ago
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