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2 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]2 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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Read 2 more answers

Which of the following equations can be used to find the length of EF in the

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The equation which can be used to find the length of EF is option A which is EF= $\sqrt{24^{2} -12^{2} }$ .

Given the length of base of right angled triangle is 12 and the hypotenuse be 24.

We are to find the length of EF and tell which equation can be used to find the length of EF.

We know that pythagoras theorem applies in a right angled triangle.

Pythagoras theorem says that in a right angled triangle the square of the hypotenuse is equal to the sum of square of base and perpendicular.

$H^{2} =B^{2} +P^{2}$

In this triangle we are only given base and hypotenuse and we have to find EF which is perpendicular.

$(DE)^{2} =(EF)^{2} +(DF)^{2}$

EF= $\sqrt{DE^{2}-DF^{2} }$

= $\sqrt{(24)^{2} -(12)^{2} }$ --1

= $\sqrt{576-144}$

= $\sqrt{432}$

Hence the equation which can be used to find the length of Ef is option A which is EF= $\sqrt{24^{2} -12^{2} }$ .

Question is incomplete as it should include the figure also.

Learn more about pythagoras theorem at brainly.com/question/343682

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Step-by-step explanation:

A ratio compares two numbers or two quantities that are measured with the same unit. The ratio of a to b is written a to b,ab,ora:b. ... When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number.

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