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zloy xaker [14]
3 years ago
15

Find the slope of the line​

Mathematics
2 answers:
vladimir1956 [14]3 years ago
7 0

Answer:

The slope is 3

Step-by-step explanation:

Rise / Run

3 / 1

= 3

Leviafan [203]3 years ago
5 0
<h3><u>Explanation</u></h3>
  • Calculate the slope by finding two coordinate points that are part of the graph and use rise over run formula.

(1,3) \:  \:  \: (0,0)

These two coordinate points are part of the graph.

m =  \frac{rise}{run}  \Longrightarrow \frac{y_2 -y_1 }{x_2 - x_1}

m =  \frac{3 - 0}{1 - 0}  \\ m =  \frac{3}{1}  \longrightarrow 3

<h3><u>Answer</u></h3>

<u>\large \boxed{m = 3}</u>

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miss Akunina [59]

Answer:

r = 5.848cm, h = 11.696cm

Step-by-step explanation:

Surface area: SA=2\pi rh+2\pi r^2

Volume: V=\pi r^2h

Therefore, the height of a cylinder given its volume would be h=\frac{V}{\pi r^2}, thus:

SA=2\pi r(\frac{V}{\pi r^2})+2\pi r^2\\\\SA=\frac{2V}{r}+2\pi r^2\\\\SA=\frac{2(400\pi)}{r}+2\pi r^2\\\\SA=\frac{800\pi}{r}+2\pi r^2

We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:

\frac{d(SA)}{dr}=-\frac{800\pi}{r^2}+4\pi r

0=-\frac{800}{r^2}+4\pi r

0=800\pi+4\pi r^3

-800\pi=4\pi r^3

-200=r^3

r\approx5.848

If 0If [tex]r>5.848, then the surface area of the cylinder increases

Therefore, the surface area is minimized when the radius is r=5.848cm, making the minimum height h=\frac{V}{\pi r^2}=\frac{400\pi}{\pi(5.848)^2}\approx11.696cm.

In conclusion, the 2nd option is correct.

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2 years ago
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Step-by-step explanation:

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<h3>hope this helped!</h3>
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