Use the drawing tools) to form the correct answer on the provided number line. Macand Keith are remodeling an old mansion, surrounded by a tall stone wall. They need to purchase a ladder that can reach the top of the
wal, but are unsure what length is required. Mac knows the height of the wall is 15 feet. Keith estimates the angle of indination between the
ladder and the ground, 8, must be between 30 and 36. The situation is shown in the image below.
15 ft
ladder
ground
Use the number line below to plat the range of possible values for the length of the ladder that meets the top of the wall. Round each length to
the nearest integer
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18a

step-by-step explanation:

simply because it is. it's the highest common factor

the infinity sign

step-by-step explanation:

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!

%40

step-by-step explanation: