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2 years ago

Pleaseeee fast see the pic i need helpppp

Mathematics

1 answer:

Katyanochek1 [597]2 years ago

3 0

Answer:

AC = 6 cm

Step-by-step explanation:

First, realize that these are two identical triangles. We just have to use the pythaogrean theorem on one side to find AD or DC, then multiply that by 2 to get AC.

a^2 + b^2 = c^2

8^2 + b^2 = 10^2

64 + b^2 = 100

100 - 64 = b^2

b^2 = 36

b = 6

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To solve the problem we must know the Basic Rules of Exponentiation.

<h2>Basic Rules of Exponentiation</h2>

$x^ax^b = x^{(a+b)}$
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$(a^a)^b =x^{(a\times b)}$
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<h2>Explanation</h2>

Given to us

$(16x^8y^{12})^{\frac{1}{2}}$

Solution

We know that 16 can be reduced to $2^4$ ,

$=(2^4x^8y^{12})^{\frac{1}{2}}$

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Using identity $(a^a)^b =x^{(a\times b)}$ ,

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Solving further

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Using identity $\dfrac{x^a}{x^b} = x^{(a-b)}$ ,

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$=\dfrac{4x^4}{y^6}$

Hence, the solution of the expression is $\dfrac{4x^4}{y^6}$ .

Learn more about Exponentiation:

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