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3 years ago

Which of the following is the product of the rational expressions shown below? 7x/x-4•x/x+7

Mathematics

1 answer:

Gre4nikov [31]3 years ago

7 0

<h2>The product of the rational expressions $\dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}$ .</h2>

Step-by-step explanation:

We have,

$\dfrac{7x}{x-4}.\dfrac{x}{x+7}$

To find, the product of the rational expressions $\dfrac{7x}{x-4}.\dfrac{x}{x+7}$ = ?

∴ $\dfrac{7x}{x-4}.\dfrac{x}{x+7}$

= $\dfrac{7x.x}{(x-4)(x+7)}$

= $\dfrac{7x^2}{(x(x+7)-4(x+7)}$

= $\dfrac{7x^2}{x^2+7x-4x-28}$

= $\dfrac{7x^2}{x^2+3x-28}$

Thus, the product of the rational expressions $\dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}$ .

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Step-by-step explanation:

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5. Calculate $m\angle DFG$

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Applying property 5, this angle is half of the measure of angle EFG and angle DFG has the same measure of 28°.

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6. FG is the hypotenuse of triangle OFG, thus:

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$OG^2=6.36$

$OG=\sqrt{6.36}=2.52$

EG is double OG: OG=2*2.52=5.04

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