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1. A line passes through the ordered pairs (7,2) and (5,4). What is the slope? please show work 2. A sphere has a diameter od 20 cm. What would be the volume of sphere?

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asked Aug 4, 2019 145k views

4 votes

1. A line passes through the ordered pairs (7,2) and (5,4). What is the slope? please show work

2. A sphere has a diameter od 20 cm. What would be the volume of sphere?

Mathematics
college

Falke Design asked

by Falke Design

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1 Answer

5 votes

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 7 &,& 2~) % (c,d) &&(~ 5 &,& 4~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-2}{5-7}\implies \cfrac{2}{-2}\implies -1$

since the sphere has a diameter of 20, its radius is half that, or 10.

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ -----\\ r=10 \end{cases}\implies V=\cfrac{4\pi (10)^3}{3}$

Thewaywewere answered Aug 11, 2019