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3 years ago

Describe how to graph the points (3, -2) and (-1, -7).

Mathematics

1 answer:

Volgvan3 years ago

7 0

Answer:

Place the dots on the x and y axis.

Step-by-step explanation:

(x, y)

Place the x axis dot on the lines that go left to right.

Place the y axis dot on the lines that go up and down.

I hope this helped! ^^

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You have diving lessons every fifth day and swimming lessons every third day. Today you have both lessons. In how many days will

skelet666 [1.2K]

You will have it in 15 days. Both 5 and 3 have a least common multiple of 15.

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3 years ago

[25 POINTS] A cylinder has a volume of 400π cm3. Find the dimensions that minimize its surface area.

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

What is the exact area of a circular courtyard with a radius of 22 ft?

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3 years ago

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Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F'G'H'I':

dem82 [27]

Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F'G'H'I'
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 d. (x, y)→(x + 7, y − 7)
I ---> (-8, 4)→(x + 7, y − 7)
I' →(-8 + 7, 4 − 7) = (-1,-3)

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3 years ago

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KonstantinChe [14]

Answer:

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