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SSSSS [86.1K]
3 years ago
15

What is the following product?

Mathematics
1 answer:
devlian [24]3 years ago
6 0

Answer: Last Option

4x^5\sqrt[3]{3x}

Step-by-step explanation:

To make the product of these expressions you must use the property of multiplication of roots:

\sqrt[n]{x^m}*\sqrt[n]{x^b} = \sqrt[n]{x^{m+b}}

we also know that:

\sqrt[3]{x^3} = x

So

\sqrt[3]{16x^7}*\sqrt[3]{12x^9}\\\\\sqrt[3]{16x^3x^3x}*\sqrt[3]{12(x^3)^3}\\\\x^2\sqrt[3]{16x}*x^3\sqrt[3]{12}\\\\x^5\sqrt[3]{16x*12}\\\\x^5\sqrt[3]{2^4x*2^2*3}\\\\x^5\sqrt[3]{2^6x*3}\\\\4x^5\sqrt[3]{3x}

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Find the length of GF
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By the Pythagorean Theorem:

The square of the hypotenuse (longest side) of a right triangle is equal to the sum of the side lengths squared, or mathematically:

h^2=x^2+y^2, where x and y are the side lengths and h is the length of the hypotenuse, in this case:

9.4^2=6.8^2+GF^2

GF^2=9.4^2-6.8^2

GF^2=42.12

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3 0
3 years ago
Read 2 more answers
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garik1379 [7]

Answer:

Point B = (-8 , -2) ⇒ the second answer

Step-by-step explanation:

∵ The figure ABCD is reflected across the x-axis

∴ The sign of y-coordinates of each point will change

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∵ B' = (-8 , 2)

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Ella and Margaret were at a carnival. They each got a ticket for the carousel. Ella got a jumbo pretzel, and Margaret got a snow
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