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Angelina_Jolie [31]
3 years ago
6

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! I CANNOT RETAKE THIS!! Simplify.

Mathematics
1 answer:
aalyn [17]3 years ago
5 0

Answer:  \frac{2(x + 2)}{3(5 + x)}

<u>Step-by-step explanation:</u>

  \frac{4x}{5 + x} ÷ \frac{6x}{x + 2}

= \frac{4x}{5 + x} x \frac{x + 2}{6x}

= \frac{4x(x + 2)}{6x(5 + x)}

= \frac{2(x + 2)}{3(5 + x)}

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Find the slope of the line passing through the points (-9, -6) and [<br> (-4, 5)
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y2-y1         5--6            11

--------   =.  --------   =     ----

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 There are 7 Democrats and 6 Republicans on a local city council. A planning committee of 6 for affordable housing needs to be
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The probability is 0.383.

Step-by-step explanation:

There are 7 democrats and 6 republicans  

Number of ways in which 4 democrats and 2 republicans can be selected=\[{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}\]

Number of ways in which 5 democrats and 1 republican can be selected= \[{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}\]

Number of ways in which 6 democrats can be selected = \[{}^{7}{{C}_{6}}\]

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Total possible outcomes =\[{}^{13}{{C}_{6}}\]

Now, probability=\[\frac{Favourable}{Possible}=\frac{{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}}{{}^{13}{{C}_{6}}}=0.383\]

Learn more about probability:

brainly.com/question/2561151?referrer=searchResults

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soldi70 [24.7K]

Answer:

The perpendicular line would be y = -2x - 4

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First we must solve the original equation for y.

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In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 1/2, we know the new line will have a slope of -2. Now we can use that information along with the given point in point-slope form to find the equation.

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