Asquare has a perimeter of 38 inches we want to know the length of each side? chose the best model for this problem. (side length above perimeter four times) (perimeter above length and width) (side length above perimeter twice) (perimeter above side length four times).

perimeter above side length four times

Step-by-step explanation:

we know that

The perimeter of a square is equal to

where

b is the length side of the square

Solve the formula by b

That means----> isolate the variable b

Divide by 4 both sides

we have

substitute

Rewrite the expression  

so

perimeter above side length four times

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

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!