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3 years ago

4. Explain how to show that the line through points A(-2,-5) and B(-1,5) is parallel to the line that represents

1 answer:

3 0

Parallel lines have the same slope
Find the slope of points A and B
(y2 - y1)/ (x2-x1)
(5-(-5))/(-1-(-2)) = (5+5)/(-1+2) = 10/1
The slope of the points is 10
In the equation
y = 10x + 12
Y = mx + b, m indicating slope
The slope of the equation is also 10
Because both slope is 10, the line through the points and the equation is parallel

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Step-by-step explanation:

<h2>☼︎Given :</h2>

The floor of a drawing room consist of 2000 tiles .Each tiles is rectangular in shape , of dimensions ,30 cm × 20 cm.

$\rule{200pt}{3pt}$

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$\rule{200pt}{3pt}$

<h2>☼︎Solution :</h2>

~ Formula Used:

$\large{\blue{\bigstar}} \: \: {\underline{\boxed{\pink{\sf{ Area{\small_{(Rectangle)}} = Length \times Breadth }}}}} \: \: {\blue{\bigstar}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

~ Calculating the Area of Tiles 

${➙ \: {\sf{ Area = Length \times Breadth}}}$

${➙ \: {\sf{ Area = 30 \times 20 }}}$

${\sf{➙ \: Area \: of \: 1 Tiles = {\purple{\bf{ 600 \: cm² }}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━}$

~ Calculating Area of the Drawing Room :

${➙ \: {\sf{ Area \: of \: Room \: = No. \: of \: Tiles \times Area \: of \: 1 \: Tile }}}$

${➙ \: {\sf{ Area \: of \: Room \: = 2000 \times 600 }}}$

${\qquad{\sf{ Area \: of \: Room \: = {\color{darkblue}{\bf{ 1200000 \: cm² }}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━}$

~ Therefore :

❝ Area of the Drawing room is 1200000 cm² or 12000 m² . ❞

$\begin{gathered} \\ {\blue{\underline{\red{\rule{300pt}{9pt}}}}}\end{gathered}$

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Klio2033 [76]

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Step-by-step explanation:

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