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3 years ago

"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"

Mathematics

1 answer:

trasher [3.6K]3 years ago

8 0

Step-by-step explanation:

${:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}$

${:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}$

${:}\hookrightarrow\sf \dfrac {3}{8\times 6}$

${:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}$

${:}\hookrightarrow\sf \dfrac {1}{16}$

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In rectangle abcd, points p and q lie on side AB and DC respectively. Angle PMQ is a right angle, M is the midpoint of side BC a

nirvana33 [79]

Answer:

PM:MQ = 8:3.

Step-by-step explanation:

$\rm \angle B\hat{M}P + 90^{\circ} + \angle C\hat{M}Q = 180^{\circ}$ ;

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Also,

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Thus $\rm \angle{P\hat{B}M} = \angle C\hat{M}Q$ .

Additionally $\rm \angle \hat{B} = 90^{\circ} = \angle \hat{C}$ .

Therefore $\rm \triangle PBM \sim \triangle MCQ$ .

$\rm \displaystyle BC = 2\;MC$ for M is the midpoint of segment BC.

$\rm \displaystyle PB = \frac{4}{3}BC = \frac{8}{3}MC$ .

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3 years ago

A coordinate plane with a line passing through (0, negative 4) and (2, 0). What is the equation of the graphed line written in s

Hoochie [10]

Answer:

d) The equation of the line passing through the points

$y = \frac{-x}{2} - 4$

Step-by-step explanation:

Step(i):-

Given points are ( 0, -4) and (2 ,0)

slope of the line

$m = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } = \frac{2-0}{0-4} = \frac{-2}{4}= \frac{-1}{2}$

Step(ii):-

The equation of the line passing through the point ( 0,-4) and having slope

$m = \frac{-1}{2}$

$y - y_{1} = m ( x - x_{1} )$

$y - (-4) = \frac{-1}{2} ( x - 0 )$

2 ( y +4) = -x

2 y + 8 = -x

2 y = - x - 8

$y = \frac{-x}{2} - \frac{8}{2}$

$y = \frac{-x}{2} - 4$

Final answer:-

The equation of the line passing through the points

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