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sp2606 [1]
3 years ago
11

Find the volume of a rectangular prism with the width of x-1, a length of x+1 and a height of 2x-3.

Mathematics
1 answer:
Damm [24]3 years ago
8 0

Answer:

The Volume is equal to 2x^3-3x^2+2x-3

Step-by-step explanation:

Formula for the volume of a rectangular prism is V=WHL

We know that:

W=x-1

L=x+1

H=2x-3

So, V= (x-1)(x-1)(2x-3)

Simplify

(x^2+1)(2x-3)

2x^3-3x^2+2x-3

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if twice the opposite of a number us increased by 5, the result is the opposite of the number. What is the number?
Likurg_2 [28]

Answer:

If twice the opposite of a number increased by five, then the result is the opposite of a number.    

The asiest way to solve this is the guess and check method. It is asking you what a number doubled then by adding five is the opposite of that number. Now go through a few SINGLE digit numbers to try and solve. I hope this helps.

6 0
2 years ago
Please help me with this math question!!!!!
astraxan [27]

Answer:

60

Step-by-step explanation:

7x+30+9x+42=104

16x+72=104

16x=104-72

16x=32

x=2

SO:

<BOC=9x+42=

9(2)+42=

18+42=

60

7 0
3 years ago
Z varies directly as x and y, z = 6 when x=2 and y = 6. Find the value of z when x = 3 and y = 8
Monica [59]

Answer:

12

Step-by-step explanation:

 This is a joint variation problem:

              z varies directly as x and y

Interpreting this;

                z ∝ xy

 Therefore;

               z  = kxy

 z = 6, x = 2, y  = 6

   Now find k,

             6  = 2 x 6 x k

              6  = 12k

               k  = \frac{1}{2}

To find the value of z;

   x  = 3, y  = 8

              z  =  \frac{1}{2}  x 3 x 8  = 12

3 0
3 years ago
100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!
hodyreva [135]
<h3>Key points :-</h3>

✪ Both triangles will be proven similar by AA theorem i.e. Angle-Angle theorem.

✪ The symbol for similarity is ~.

✪ The symbol for congruency is ≅.

\rule{300pt}{2pt}

  • <em>D</em><em>e</em><em>t</em><em>a</em><em>i</em><em>l</em><em>e</em><em>d</em><em> </em><em>s</em><em>o</em><em>l</em><em>u</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>i</em><em>s</em><em> </em><em>a</em><em>t</em><em>t</em><em>a</em><em>c</em><em>h</em><em>e</em><em>d</em><em>!</em><em>!</em>

\large{|\underline{\mathtt{\red{A}\blue{n}\orange{c}\pink{i}\blue{e}\purple{n}\green{t}\red{E}\blue{n}\orange{i}\green{g}\red{m}\purple{a}\pink{29}}}}

6 0
2 years ago
Read 2 more answers
Which answer is equal to (f - g) (-5)
Marina CMI [18]
<span>f(5)= 2+5 = 7
</span><span>g(5)= 5^2+5 = 25 +5 = 30

</span><span>(f - g) (-5) = 7 - 30 = -23

answer is </span><span>D.-23</span>
6 0
3 years ago
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