3 years ago

Geomeyry question 19

Mathematics

1 answer:

denis23 [38]3 years ago

8 0

Answer:

B, C, D, E

Step-by-step explanation:

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Select ALL of the choices that are equal to (-2) - (-5)

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34500%

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Suppose you are looking at a drawing of the net for a rectangular prism and a net for a rectangular pyramid. Explain how you can

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Which choice is equivalent to the expression below? 5√10+√40+√90 the answer was 10√10

DaniilM [7]

Answer:

$5\sqrt{10}+\sqrt{40} +\sqrt{90}=10\sqrt{10}$

Step-by-step explanation:

We have the following expression:

$5\sqrt{10}+\sqrt{40} +\sqrt{90}$

Remember the property of root multiplication:

$\sqrt[n]{x*y}=\sqrt[n]{x}\sqrt[n]{y}$

Therefore:

$\sqrt{40}=\sqrt{4*10}=\sqrt{4}*\sqrt{10}=2\sqrt{10}$

Also:

$\sqrt{90}=\sqrt{9*10}=\sqrt{9}*\sqrt{10}=3\sqrt{10}$

Then we have that:

$5\sqrt{10}+\sqrt{40} +\sqrt{90}=5\sqrt{10}+2\sqrt{10}+3\sqrt{10}$

Remember the property of sum of roots:

$a\sqrt{b}+2a\sqrt{b}=3a\sqrt{b}$

Finally:

$5\sqrt{10}+\sqrt{40} +\sqrt{90}=(5+2+3)\sqrt{10}$

$5\sqrt{10}+\sqrt{40} +\sqrt{90}=10\sqrt{10}$

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3 years ago