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3 years ago

8

PLEASE HELP WORTH 20points!!

1 answer:

Vika [28.1K]3 years ago

5 0

It's the first choice above. The center of the circle of the first choice is (-2, 6). In order to get from there to the center, you have to go right 2 and down 6, which are your given translations. None of the other translations bring the given centers to the origin. For example, the center of the second circle is (1, -2). In order to get from there to the center you have to go left 1 and up 2, but the translations they give are left 2 and DOWN 2, which is incorrect if you want to get to the origin. The only correct one is the first one.

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What is the simplified version of 3\sqrt{135}

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Answer:

The simplified version of $\sqrt[3]{135}$ is $3\sqrt[3]{5}$ .

Step-by-step explanation:

The given expression is

$\sqrt[3]{135}$

According to the property of radical expression.

$\sqrt[n]{x}=(x)^{\frac{1}{n}}$

Using this property we get

$\sqrt[3]{135}=(135)^{\frac{1}{3}}$

$\sqrt[3]{135}=(27\times 5)^{\frac{1}{3}}$

$\sqrt[3]{135}=(3^3\times 5)^{\frac{1}{3}}$

$\sqrt[3]{135}=(3^3)^{\frac{1}{3}}\times (5)^{\frac{1}{3}}$ $[\because (ab)^x=a^xb^x]$

$\sqrt[3]{135}=3\times \sqrt[3]{5}$ $[\because \sqrt[n]{x}=(x)^{\frac{1}{n}}]$

$\sqrt[3]{135}=3\sqrt[3]{5}$

Therefore the simplified version of $\sqrt[3]{135}$ is $3\sqrt[3]{5}$ .

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Step-by-step explanation:

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