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4 years ago

14

Find the opposites of 1/3 and -7/12

1 answer:

iragen [17]4 years ago

3 0

The opposites of 1/3 and -7/12 is -1/3 and 7/12

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What expression is equivalent to ^3 square root of 2y^3 times 7 square root of 18y

Mumz [18]

Answer:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Step-by-step explanation:

The question is poorly formatted.

Given

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Required

Derive an equivalent expression

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Express 18 as 9 * 2

$\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}$

Split the expression as follows:

$\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}$

Take positive square root of 9

$\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}$

$\sqrt[3]{2y^3} * 21 * \sqrt{2y}$

$21*\sqrt[3]{2y^3} * \sqrt{2y}$

The cube root can be rewritten to give:

$21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}$

$\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y$

So, we have:

$21*\sqrt[3]{2} * y * \sqrt{2y}$

Rewrite as:

$21y *\sqrt[3]{2} * \sqrt{2y}$

Split $\sqrt{2y$

$21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}$

Collect Like Terms

$21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}$

Represent in index form

$21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}$

Apply law of indices

$21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }$

$21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}$

$21*y^{\frac{3}{2}} *2^{\frac{5}{6}}$

$21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Hence:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

6 0

3 years ago

The Perez family bought4 crates of eggs last week. Each crate had 18 eggs. Since then, they have eaten 26 of the eggs. How many

agasfer [191]

Answer:

There are 46 eggs left

Step-by-step explanation:

18 x 4 = 72 - 26 = 46

8 0

2 years ago

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9.) express the area of this triangle as a polynomial. (Remember A=1/2B H

schepotkina [342]

Plug in the values for b = $4ab^2c^7$ and h = $3a^2b^5$

A = $\frac{1}{2} (4ab^2c^7)(3a^2b^5)$
Simplify....
A = $6a^3b^7c^7$

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3 years ago

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✧･ﾟ:Multiple Choice:･ﾟ✧

Rom4ik [11]

Answer:

-2

Step-by-step explanation:

slope is rise over run

-2/1

= -2

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3 years ago

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Pls help heheh lol...

zepelin [54]

It would only be A 7-6/2=4 4>3

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3 years ago

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