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3 years ago

How do you simplify this fraction

Mathematics

1 answer:

TiliK225 [7]3 years ago

6 0

Answer:

- 3 \frac{4}{5} + 1 \frac{2}{5}

= -frac{19}{5} +frac{7}{5}

= frac{-19+7}{5}

= frac{-12}{5}

= -2frac{2}{5}

5 \frac{3}{5} - 7

= -2+\frac{3}{5}

= frac{-10+3}{5}

= frac{-7}{5}

= -1\frac{2}{5}

Step-by-step explanation:

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Answer: $k=18\dfrac{8}{11}$ .

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If a line passing through two points, then

$Slope=\dfrac{y_2-y_1}{x_2-x_1}$

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Slope of MN $=\dfrac{1-0}{5-0}=\dfrac{1}{5}$

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Slope of AB $=\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}$

$=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}$

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$=4k-9\times \dfrac{11}{-145}$

$=\dfrac{44k-99}{-145}$

Product of slopes of two perpendicular segments is -1.

Slope of MN × Slope of AB = -1

$\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1$

$\dfrac{44k-99}{-725}=-1$

$44k-99=725$

$44k=725+99$

$k=\dfrac{824}{44}$

$k=\dfrac{206}{11}$

$k=18\dfrac{8}{11}$

Therefore, the value of k is $k=18\dfrac{8}{11}$ .

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