Desmond made a proportional copy of a figure by multiplying each side length by 3/2. drag numbers to complete the table

a - Original length = 18; b - Original length = 12; c - Copy length = 15, ratio = 2/3

Step-by-step explanation:

For part a, we know the ratio is 2/3.  We also know the copy length is 27.

To change the denominator of the ratio to 27, we would multiply by 9; multiplying the top by 9, we have 2(9) = 18.

For part b, we know the ratio is 2/3.  We also know the copy length is 18.

To change the denominator of the ratio to 18, we would multiply by 6; multiplying the top by 6, we have 2(6) = 12.

For part c, we only have one option left for the copy length; it must be 15.

This makes the ratio 10/15, which simplifies to 2/3.

found it xd it ok yt

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!