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3 years ago

Simplify the rational expression.

Mathematics

1 answer:

o-na [289]3 years ago

7 0

Answer:

$\large\boxed{\dfrac{x^2-4x-32}{x+4}=x-8}$

Step-by-step explanation:

$\dfrac{x^2-4x-32}{x+4}=\dfrac{x^2+4x-8x-32}{x+4}=\dfrac{x(x+4)-8(x+4)}{x+4}\\\\=\dfrac{(x+4)(x-8)}{x+4}\\\\\text{canceled}\ (x+4)\\\\=x-8$

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3 years ago

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shepuryov [24]

Answer:

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Step-by-step explanation:

The equation of a line in a slope intercept form is given as :

$y = mx + c$ , where m is the gradient and c, y - intercept.

First, let us find the gradient, m of the line that passes through the points, (4,-2) and (-5,7) using the relation ;

$m = \frac{y_2 - y_1}{x_2- x_1}$

By substitution we get

$m = \frac{7- (- 2)}{ - 5 - 4}$

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We substitute any of the points and the value of m into y= mx + c to find the value for c.

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Adding 4 to both sides.

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Answer:

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