1 year ago

The points (3,-10) and (7,r) lie on a line with slope 5/4. Find the missing coordinate r.

1 answer:

5 0

$(\stackrel{x_1}{3}~,~\stackrel{y_1}{-10})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{(-10)}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{3}}} \implies \cfrac{r +10}{4}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{5}{4}} \\\\\\ 4r+40=20\implies 4r=-20\implies r=\cfrac{-20}{4}\implies {\Large \begin{array}{llll} r=-5 \end{array}}$

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Esessment

Klio2033 [76]

The area of the given composite figure is 34 square feet

<h3>Area of rectangle</h3>

Area of the rectangle = length * width

<h3>Get the area of the given composite figure</h3>

For the composite figure shown:

Area = (8*3) + (2 * 5)

Area = 24 + 10

Area = 34 square feet

Hence the area of the given composite figure is 34 square feet

Learn more on area of rectangle here: brainly.com/question/25292087

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