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3 years ago

What is 2(x + 4)=2(-8- x) - 2x

Mathematics

1 answer:

Maru [420]3 years ago

6 0

Answer:

You want to solve for x, the first thing you need to do is distribute

The 2 through the x+4 then the other 2 through the -8-x

2(x+4)= 2x+8

2(-8-x)= -16-2x

2x+8=-16-2x-2x (combine like terms on the right side)

2x+8=-16-4x (now subtract 8 from each side)

2x=-24-4x (8-8=0, -16-8=-24) (now add 4x to each side)

6x=-24 (-4x+4x=0, 2x+4x=6x), (divide each side by 6)

x=-4 (6/6=1, -24/6=-4)

x=-4

Hope this helps ;)

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A hemisphere has an area of 256 pi cm^2. What is its volume?

Amanda [17]

$\bf \begin{array}{llll}
\textit{surface area of a sphere}\\\\
A=4\pi r^2
\\\\\\
\textit{a hemisphere is half that}\\\\
A=\cfrac{4\pi r^2}{2}\implies A=2\pi r^2
\end{array}\qquad r=radius
\\\\\\
\textit{now, we know the area is }256\pi \implies 256\pi =2\pi r^2
\\\\\\
\cfrac{256\pi }{2\pi }=r^2\implies \sqrt{128}=r\implies \boxed{8\sqrt{2}=r}
\\\\
-----------------------------\\\\$

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4}{3}\pi r^3\qquad r=radius
\\\\\\
\textit{a hemisphere is half that}\\\\
V=\cfrac{\frac{4}{3}\pi r^3}{2}\implies V=\cfrac{\frac{4\pi r^3}{3}}{\frac{2}{1}}\implies V=\cfrac{4\pi r^3}{3}\cdot \cfrac{1}{2}
\\\\\\
V=\cfrac{2\pi r^3}{3}
\\\\\\
\textit{now, we know the radius is }8\sqrt{2}\implies V=\cfrac{2\pi (8\sqrt{2})^3}{3}
\\\\\\
V=\cfrac{2\pi (8^3\sqrt{2^3})}{3}\implies V=\cfrac{2\pi \cdot 512\cdot 2\sqrt{2}}{3}
\\\\\\
\boxed{V=\cfrac{2048\pi \sqrt{2}}{3}}$

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3 years ago

The difference of a number and 8

butalik [34]

Answer:8

Step-by-step explanation:

7 0

3 years ago

on monday 3/4 inch of snow fell on tuesday 5/8 inch of snow fell write a statement that correctly compares the snow amounts

rodikova [14]

I'm not sure of the answer, but I think it might be 3/4>5/8 because 3/4 is a greater amount than 5/8

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3 years ago

86<br> Work out the size of angle x.<br> 47°

katen-ka-za [31]

Answer:

133 degrees

Step-by-step explanation:

The angle 47 degrees is on a straight line, and the angles on a straight line add up to 180 degrees.

So, to find the angle parallel to 47 degrees, subtract 47 degrees from 180 degrees

180 - 47 = 133 degrees

Now, the relationship between the angle that is 133 degrees and the angle of x is that they are corresponding angles.

And corresponding anglea are the same.

Thereforw, x = 133 degrees

hope this helps :)

3 0

3 years ago

In 2003, the population of Zimbabwe was about 12.6 million, which was 1 million more than 4 times the population in 1950. Write

JulsSmile [24]

Let's set the population of Zimbabwe in 1950 equal to x.

So in 2003, the population was 12.6 million. So our equation should equal 12.6 million. Here's how you turn the other parts of the problem into an equation:
4x + 1m = 12.6 m

Now to solve.

4x = 12.6m - 1m
4x = 11.6m
x = 11.6m/4
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5 0

3 years ago