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horsena [70]
3 years ago
5

2.) What is the volume of the shape below?​

Mathematics
1 answer:
lara [203]3 years ago
3 0
The volume is 36 units.
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7x-5=8(x*3) what value of x makes this equation true
hram777 [196]

The given equation is:

\displaystyle 7x-5=8(x+3)

The first step you need to do is open the parentheses and distribute the 8 to x+3. It will be 8 times x and 3 times x.

8(x+3)=8 \times x+ 8 \times 3\\\\8 \times x=8x\\8 \times 3=24

8(x+3) \rightarrow 8x+24

Rewrite the equation:

7x-5=8x+24

Now you need to move one of the variables to the other side.

If you move 7x to the other side, then:

You can move the variable by doing the opposite of it. Since 7x is positive, you can move it by subtracting 7x, which is negative. Subtract 7x on both sides:

7x-5-7x=8x+24-7x\\-5=x+24

Now you need to leave x alone. x is being added to 24, so remove it by subtracting both sides by 24. Remember that when you're subtracting from a negative number, you're actually adding while keeping the negative sign.

-5-24=x+24-24

Subtract:

\bf-29=x

If you move 8x to the other side, then:

8x is positive, so you can move it by subtracting 8x, which is negative. Subtract 8x on both sides:

7x-5-8x=8x+24-8x\\-x-5=24

You need to leave the variable alone, so move -5 to the other side. You can do this by adding 5 to both sides.

-x-5+5=24+5\\-x=29

Lastly, x is negative, but you're looking for the value of positive x. Divide both sides by -1 to remove the negative sign.

\displaystyle \frac{-x}{-1} =\frac{29}{-1}

Remember that a positive number divided by a negative number is negative. Divide:

\bf x=-29

The answer to your question is x = -29.

8 0
3 years ago
Read 2 more answers
Written as a simplified polynomial in standard form, what is the result when
o-na [289]

Answer:

9x^2 - 10x -4

Step-by-step explanation:

It is set up like this

     9x^2 - 8x

-              (x-2)2

First solve (x-2)2

the answer is (2x-4)

so now you can do this instead

    9x^2 - 8x

-              2x - 4

----------------------------------

9x^2 - 10x +4

9x^2 minus zero is 9x^2

-8x-2x is -10x

0- -4 is 4 because that is like saying 0 + 4 because double negatives equal a positive

A simpler way is to change all the numbers to the opposite sign and then change the minus to a plus

like this

    9x^2 - 8x

+              -2x + 4

----------------------------------

9x^2 - 10x +4

5 0
3 years ago
Read 2 more answers
A figure has vertices at the points (6,5), (6,-4), (-4,-4) and (-4,5). What is the area of the figure
Oxana [17]

Answer:

  90 units²

Step-by-step explanation:

The rectangular figure is 10 units wide (from -4 to +6) and 9 units high (from -4 to +5), so its area is 10·9 = 90 square units.

7 0
3 years ago
In a certain clothing store, 6 shirts and 3 ties cost $79.50, and 3 shirts and 2 ties cost $41. Determine the cost of each tie.
SashulF [63]
Https://us-static.z-dn.net/files/d18/ce7107c58c34f8e2cf6c1f3e05752043.jpeg

8 0
3 years ago
Read 2 more answers
I need help ahhh someone please
Xelga [282]
Translate down and reflect over a vertical line! :)

it means bring the cup down and then flip
8 0
4 years ago
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