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pshichka [43]
3 years ago
10

Multiple 3/4 times 16/9

Mathematics
2 answers:
nataly862011 [7]3 years ago
7 0
3/4 times 16/9 is equal to 1 1/3.
wlad13 [49]3 years ago
7 0
Short Answer: 4/3
Remark
Before doing the multiplication, you should do a cancellation. You can cancel fractions by dividing any numerator by the same thing that will go into any denominator or vica versa.

3 goes into 9 = 3
4 goes into 16 four times.

So the fraction cancellation looks like this.
\frac{ \frac{16}{4} }{ \frac{9}{3} } =  \frac{ \frac{4}{1} }{ \frac{3}{1} } =  \frac{4}{3}
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The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

<u>Solution:</u>

Given that line is passing through point (-5, 2) and (3, r)

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Slope of a line passing through point \left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)  is given by following formula:

\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}  --- eqn 1

\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}

On substituting the given value in (1) we get

\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}

Hence the value of "r" is -2

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