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Delvig [45]
2 years ago
8

Simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. 

Mathematics
1 answer:
NeTakaya2 years ago
6 0
\sqrt{96x^2y}=\sqrt{16\cdot6\cdot x^2\cdot y}=\sqrt{16}\cdot\sqrt6\cdot\sqrt{x^2}\cdot\sqrt{y}\\\\=4\cdot\sqrt6\cdot x\cdot\sqrt{y}=4x\sqrt{6y}

========================================================

\left(x^4y^4\right)^\frac{1}{3}=\left(x^4\right)^\frac{1}{3}\left(y^4\right)^\frac{1}{3}=x^{4\cdot\frac{1}{3}}y^{4\cdot\frac{1}{3}}=x^\frac{4}{3}y^\frac{4}{3}=x^{1+\frac{1}{3}}y^{1+\frac{1}{3}}\\\\=x^1x^\frac{1}{3}y^1y^\frac{1}{3}=x\sqrt[3]{x}\cdot y\sqrt[3]y=xy\sqrt[3]{xy}
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A 100-point test contains a total of 20 questions. The multiple choice questions are worth 3 points each and the short response
Alex17521 [72]

Answer: 3x+8y=100

x+y=20

x=12

y=8

Step-by-step explanation: x would represent the number of multiple choice questions and y would represent the number of short response questions. the multiple choice questions were 3 points meaning that you need to find x. the short answer response questions were 8 points meaning you need to find y. altogether you need to get 100 points. for the second equation you have 20 questions that need to be both multiple choice and short response. therefore the second equation would be x+y=20. if you solved this, the answer would be that x equals 12 and y equals 8. hope this helped! :))

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lisabon 2012 [21]

Answer:

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Step-by-step explanation:

The equation would be x + .20= 1, or 1.00, because if you turn 20% into a decimal, it becomes .20. The total you are trying to find is 1 whole, in which this case it would simply be one as there is no other information. The x is first as if you had the .20 first, you would have to divide each side by .20, which would make x = 5, and that would not make sense.

Finding X: To find, subtract on each side by .20 due to the fact you are adding and need to do the opposite, .20-.20 cancels out and 1.00-.20 is .80, so you are left with x=.80

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2 years ago
Is this answer correct?​
disa [49]

Answer: ya

Step-by-step explanation:

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One angle of an isosceles triangle measures 80°. Which other angles could be in that isosceles triangle?
ohaa [14]

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80 and 40 are the other angles

Step-by-step explanation:

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2 years ago
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A square has a side length 15.8cm.If 3 such squares are linked side to side in a straight line, what is the perimeter of the who
Novay_Z [31]

Answer:

126.4 cm

Step-by-step explanation:

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3. Find the whole perimeter

63.2 * 2 = 126.4

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3 years ago
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