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3 years ago

Which expression is equivalent to 5^3√6c+7^3√6c, if c ≠ 0

Mathematics

1 answer:

scZoUnD [109]3 years ago

4 0

Answer:

Option C

Step-by-step explanation:

complete question

A. 35[3]6cB. 12[3]12cC. 12[3]6cD.72c

The given equation can be written as

5^3√6c+7^3√6c

5 * $\sqrt{3 *3*2c}$ + 7 * $\sqrt{3 *3*2c}$

5 * 3 * $\sqrt{2c}$ + 7 * 3 * $\sqrt{2c}$

15 * $\sqrt{2c}$ + 21 * $\sqrt{2c}$

36 * $\sqrt{2c}$

12 [3]* $\sqrt{2c}$

Option C is correct

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D. What is the distance between your house and the mall?
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$d^2=4^2+4^2$
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answer:
$d^2=3^2+1^2$
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$d^2=10$
$d= \sqrt{10}$
We can conclude that the distance between the movie theater and the school is $\sqrt{10}$

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