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3 years ago

Find the slope-intercept equation for the line with the indicated slope and y-intercept. Slope 1/4; y-intercept (0, -4)

Mathematics

1 answer:

Ilya [14]3 years ago

3 0

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = 1/4 and y-intercept (0, -4) → b = -4.

Answer: $y=\dfrac{1}{4}x-4$

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16 more than s is at most −80.

polet [3.4K]

Answer:

s + 16 ≤ −80

Step-by-step explanation:

Analyze each part in the word equation:

"16 more than s" s increased by 16; s + 16

"is at most" is equal to or less than; ≤

"−80" -80

Put the equation back together:

s + 16 ≤ −80

4 0

3 years ago

What is the factored form of m2 + - 27n2

Illusion [34]

2(m-27n) this is the answer

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3 years ago

Please help me someone

katovenus [111]

Answer: Surface area is 169π

Step-by-step explanation:

$A=\pi \cdot \:d^2$

$A=\pi d^2$

$A=\pi 13^2$

$A=169\pi$

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2 years ago

A storage tank will have a circular base of radius r and a height of r. The tank can be either cylindrical or hemispherical (ha

Neko [114]

Answer:

Volume: $\frac{2}{3}\pi r^3$

Ratio: $\frac{2}{9}r$

Step-by-step explanation:

First of all, we need to find the volume of the hemispherical tank.

The volume of a sphere is given by:

$V=\frac{4}{3}\pi r^3$

where

r is the radius of the sphere

V is the volume

Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

$V'=\frac{V}{2}=\frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3$

Now we want to find the ratio between the volume of the hemisphere and its surface area.

The surface area of a sphere is

$A=4 \pi r^2$

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so $2\pi r^2$ . Moreover, we have to add the surface of the base, which is $\pi r^2$ . So the total surface area of the hemispherical tank is

$A'=2\pi r^2 + \pi r^2 = 3 \pi r^2$

Therefore, the ratio betwen the volume and the surface area of the hemisphere is

$\frac{V'}{A'}=\frac{\frac{2}{3}\pi r^3}{3\pi r^2}=\frac{2}{9}r$

6 0

3 years ago

What angel relationships are formed when lines intersect

mixer [17]

Answer:

vertical angle relationships are formed.

Good luck :)

7 0

3 years ago