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2 years ago

Find the equation of the line containing the points (20,-7) and (10,-2). Type your answer in this order and don't use spaces or

decimals. y=mx+b

Mathematics

1 answer:

aliina [53]2 years ago

4 0

$(\stackrel{x_1}{20}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{20}}}\implies \cfrac{-2+7}{-10}\implies -\cfrac{1}{2}$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{20}) \\\\\\ y+7=-\cfrac{1}{2}x+10\implies y=-\cfrac{1}{2}x+3$

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AURORKA [14]

Answer:

2 pairs

Step-by-step explanation:

The north & south sides are parallel and the east & west are parallel.

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3 years ago

You need to buy enough sand to fill a sandbox to the top. The sandbox is modeled by the right rectangular prism in the diagram.

kifflom [539]

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3 years ago

Solve for x.<br><br> Help please

MAVERICK [17]

X = 10

The triangles are similar by SAS, so we can set up a proportion of their sides.

9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2

Reduce
3/8 = 12/3x+2

Cross multiply
3(3x+2) = 12*8

Distribute and multiply
9x + 6 = 96

Subtract 6
9x = 90

Divide by 9
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Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
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3 years ago

a snowplow has maximum speed of 40 miles per hour on a dry highway. It's maximum speed decreases by 1.2 miles per hour for every

vova2212 [387]

Step-by-step explanation:

The snowplow's speed is 40 mph minus the loss from the snow, which is 1.2 mph times the depth of snow in inches.

y = 40 − 1.2x

When y = 0:

0 = 40 − 1.2x

1.2x = 40

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3 years ago

Given that rectangle MNOP~ rectangle STUV~, what is the length of ___<br> TU

IrinaK [193]

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The value of x or the length of TU is 22.5.

<h3>What is a rectangle?</h3>

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Since all the rectangles are similar, therefore, the corresponding sides of the rectangle will be in ratio. Therefore,

$\dfrac{\text{Length of STUV}}{\text{Length of MNOP}} = \dfrac{9}{6}$

Similarly, the breadth will be,

$\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{\text{Length of STUV}}{\text{Length of MNOP}}\\\\\\\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{9}{6}\\\\\\\dfrac{x}{15}=\dfrac96\\\\\\x = \dfrac{9 \times 15}{6} = 22.5$

Hence, the value of x or the length of TU is 22.5.

Learn more about Rectangle:

brainly.com/question/15019502

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2 years ago