A cylindrical container that contains three tennis balls that are 5.4 inches in diameter is lying on its side and passes through an x-ray scanner that scans from the top only. What outline will appear on the x-ray screen, and what are the dimensions? image description: cylindrical container with three spheres side by side so that the spheres are laying horizontally A circle with a diameter of 5.4 in
A circle with a diameter of is 10.8 in
A rectangle that is 5.4 in x 16.2 in
A rectangle that is 10.8 in x 16.2 in

The correct option is:

A rectangle that is 5.4 in x 16.2 in

Step-by-step explanation:

As the container is lying on its side, and the scanner scans from the top, it means that scanner will get a 2D of cylinder where its length and width can be seen

First, whenever a cylinder is look at from one side, it will look like a rectangle.

As the cylinder is fitted with 3 balls along its length, the length of the rectangle will be equal to the sum of diameters of all three balls, that is 5.4+5.4+5.4 = 16.2 inches

As only one ball fits along the width of the, the width of the container will be equal to diameter of one ball, that is 5.4 inches

Hence, a rectangle will formed, with the dimensions of 5.4 × 16.2 in

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

16 is the absolute value

step-by-step explanation: