Answer:
<em>False</em>
Step-by-step explanation:
took the test
Option C:
is the possible expressions for length, width and height of the prism.
Explanation:
The volume of the rectangular prism is 
To determine the length, width and height of the rectangular prism, let us factor the expression.
Thus, factoring 5x from the expression, we have,

Let us break the expression
into two groups, we get,
![5x[\left(12 x^{2}+8 x\right)+(21 x+14)]](https://tex.z-dn.net/?f=5x%5B%5Cleft%2812%20x%5E%7B2%7D%2B8%20x%5Cright%29%2B%2821%20x%2B14%29%5D)
Factoring 4x from the term
, we get,
![5x[4 x(3 x+2)+(21x+14)]](https://tex.z-dn.net/?f=5x%5B4%20x%283%20x%2B2%29%2B%2821x%2B14%29%5D)
Similarly, factoring 7x from the term
, we get,
![5x[4 x(3 x+2)+7(3x+2)]](https://tex.z-dn.net/?f=5x%5B4%20x%283%20x%2B2%29%2B7%283x%2B2%29%5D)
Now, let us factor out
, we get,

Hence, the possible expressions for length, width and height of the prism is 
Therefore, Option C is the correct answer.
The volume of sphere is
inches cubed.
Step-by-step explanation:
Given,
Diameter of sphere = 10 inches
Radius of sphere = 
Radius of sphere = 5 inches
Volume of sphere = 
V = 

The volume of sphere is
inches cubed.
Keywords: volume, division
Learn more about division at:
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Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

Step-by-step explanation:
Given points are:
(x1,y1) = (6,-2)
(x2,y2) = (12,1)
The slope intercept form is:

We have to find the slope first

Putting the value of slope

To find the value of b, putting (12,1) in the equation

Putting the values of m and b

Hence,
Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

Keywords: Equation of line, slope-intercept form
Learn more about equation of line at:
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Answer:
B
Step-by-step explanation:
30/3=10
Have a great day!