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Dmitriy789 [7]
3 years ago
12

Rewrite this radicand as two factors, one of which is a perfect square.

Mathematics
2 answers:
seropon [69]3 years ago
5 0

Answer:

2 \sqrt{15}

Step-by-step explanation:

1) rewrite 60 as it's prime factors.

\sqrt{2 \times 2 \times 3 \times } 5

2) group the smae prime factors into pairs.

\sqrt{(2 \times 2)}  \times 3 \times 5

3) Rewrite each pair in exponent form.

\sqrt{ {2}^{2} \times 3 \times 5 }

4) use this role:

\sqrt{ {x}^{2} }  = x

2 \sqrt{3 \times 5}

5) Simplify.

4 \sqrt{15}

So, therefor, the answer is option 1.

Ilia_Sergeevich [38]3 years ago
3 0
The answer is a. 4x15=60 and 2^2=4 so we get 2x/sqrt(15)
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At a sale this week, a suit is being sold for $217. This is a 38% discount from the original price. What is the original price?
34kurt

Answer:

List price (original price) = $350

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The list price is the sale price ($217) divided by the difference of 1 minus the result of the discount (38%) divided by 100.

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Step-by-step explanation:

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What are the factors of x2 - 144?<br> and
likoan [24]

Answer:

Step-by-step explanation:

x² - 144 = x² - 12²

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3 0
3 years ago
Consider the line segment below that is five feet long. Is Q the midpoint of PR? Justify your answer.
givi [52]

Answer:

Q is not the midpoint of PR

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If Q is the midpoint of PR

then

PQ=QR

substitute the given values and solve for x

15x-2=5x+3\\15x-5x=3+2\\10x=5\\x=0.5

Remember that

PR=5\ ft ----> given problem

PR=PQ+QR\\PR=(15x-2)+(5x+3)

substitute the value of x

PR=(15(0.5)-2)+(5(0.5)+3)

PR=(5.5)+(5.5)

PR=11\ ft

Compare with the given value of PR

5\ ft\neq 11\ ft

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Q is not the midpoint of PR

4 0
3 years ago
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