Answer:
A translation 9 units right
Step-by-step explanation:
Given
![f(x) = 4x + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%204x%20%2B%202)
![g(x) = 4(x -9)+ 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%204%28x%20-9%29%2B%202)
Required
Translation of f(x) to g(x)
To do this, we take the options one after the other.
A translation 9 units right
When an original function f(x) is translated to the right by h points, the resulting function g(x) is
![g(x) = f(x - h)](https://tex.z-dn.net/?f=g%28x%29%20%3D%20f%28x%20-%20h%29)
So, we have that:
![f(x) = 4x + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%204x%20%2B%202)
When translated to the right by 9 points,
![g(x) = 4(x - 9) + 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%204%28x%20-%209%29%20%2B%202)
<em>Hence, option A answers the question</em>
Since they want the unit of volume to be cm^3, first we have to convert the values given from inch into cm
=> 12 in = 30.48cm
4 in = 10.16cm
14 in = 35.56cm
Since both of the figures are cylinders, we have to find them one by one
Find the volume of the upper cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 30.48cm/2 = 15.24cm
height = 30.48cm
We get V=3*(15.24)^2*30.48=21237.6cm^3
Find the volume of lower cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 35.56cm/2 = 17.78cm
height = 10.16cm
We get
V = 3*(17.78)^2*10.16 = 9635.6cm^3
Therefore, the volume of the object is
V = 21237.6cm^3 + 9635.6cm^3
= 30873.2cm^3.
Answer:
figure it out from there
Step-by-step explanation:
11.20 x 2=22.40
14.40 x 3=43.20
22 + 43=65
.20 + .40= .80
65.80 - 55.80