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2 years ago

Which equation represents a line which is parallel

Mathematics

1 answer:

erica [24]2 years ago

5 0

Answer:

4x+5y=20

Step-by-step explanation:

bc if u subtract your 4x from both sides

then u should end up with 5y= -4x+20

then u divide the 5 from everything

then you end up with y= -4/5x+4

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Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

$V_c=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

We have R = 7cm. Substitute:

$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

$V=V_c+V_{hs}$

Substitute:

$V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3$

7 0

2 years ago

A 24 pack box of colored gel markers cost $12.96 what is the cost per marker?

adoni [48]

Answer:

approx. $1.85 or $1.86 each marker

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2 years ago

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Point A is at (-2,-7) and point B is at (7,4). What is the midpoint of line segment AB?

Lyrx [107]

Use the midpoint formula and solve. work pictured below

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2 years ago

How many terms are there in this expression? 3a + b - 4c ——- 3 6 5

Dafna1 [17]

There's 3 terms

3a-----1

+b -----2

-4c------3

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2 years ago

Negative vectors

Lilit [14]

First you write what the vectors are, then you subtract z from w by subtracting their corresponding values <-4-3,1-4>= <-7,-3>, then to get subtracting the next answer you subtract w from z which is <3--4,4-1> = <7,3>

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2 years ago

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