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amid [387]
3 years ago
15

Simplify this expression

Mathematics
1 answer:
kompoz [17]3 years ago
3 0
The first step for solving this problem is to know that in order to divide by a fraction,, we must multiply by the reciprocal of that fraction. This will look like the following:
\frac{x+2}{ x^{2} -6x-16} × 9x
Write -6x as a difference.
\frac{x+2}{ x^{2} +2x-8x-16} × 9x
Factor out x from x² + 2x.
\frac{x+2}{ x X (x+2)-8x-16} × 9x
Factor out -8 from -8(x + 2).
\frac{x+2}{ x X (x+2)-8(x+2)} × 9x
Factor out x + 2 from the denominator (bottom) of the expression.
\frac{x+2}{(x+2)X(x-8)} × 9x
Reduce the fraction with x + 2
\frac{1}{x-8} × 9x
Finally,, calculate the product to find your final answer.
\frac{9x}{x-8}
This means that the correct answer to your question is going to be option B.
Let me know if you have any further questions.
:)
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What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the
Svetradugi [14.3K]

keeping in mind that perpendicular lines have negative reciprocal slopes, hmmmm what's the slope of that line above anyway,

\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{1}}}\implies \cfrac{2+1}{3}\implies 1 \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\underline{1}\implies \cfrac{\underline{1}}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{\underline{1}}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{\underline{1}}\implies -1}}

so we're really looking for the equation of a line whose slope is -1 and runs through (2,5)

\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{5})~\hspace{10em} \stackrel{slope}{m}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-1}(x-\stackrel{x_1}{2}) \\\\\\ y-5=-x+2\implies y=-x+7

8 0
3 years ago
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3c/4 - 2c/3 = 4 (Solve with work please
mars1129 [50]
C = 9/28 = 0.321

https://www.tiger-algebra.com/drill/3c-3/4=2c/3/

3 0
3 years ago
What 2 numbers multiply to -18 and add up to -4
ivann1987 [24]

Answer:

-9 x 1 x 1 x 1 x 2 = (-18)

-9 + 1 + 1 + 1 + 2 = (-4)

5 0
3 years ago
Simplify.
vichka [17]

Answer

your answer is not shown but the correct answer based on the top is going to be −

7.6x + 6.393

please check to ensure that you wrote the problem correctly as well as your answers.

Step-by-step explanation:

6 0
3 years ago
Which choice shows the graph of a linear function?
ExtremeBDS [4]

Answer:

4th one

Step-by-step explanation:

because its a line (linear)

6 0
3 years ago
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