Given:
The two functions are:
To find:
The statement that best compares the graph of g(x) with the graph of f(x).
Solution:
The horizontal stretch is defined as:
...(i)
If 
, the function f(x) is horizontally stretched by factor 
.
If 
, the function f(x) is horizontally compressed by factor .
We have,
Using these functions, we get
...(ii)
On comparing (i) and (ii), we get
Since , the function f(x) is horizontally stretched by factor 
.
Hence, the correct option is D.
Tens refers to the unit 10,
This means that 45 10s is equal to:
45*10 = 450
Hope this helps! :)
Answer:
90°
Step-by-step explanation:
Interior angles of ALL triangles sum to 180°
The whole large triangle has angles 60 60 60 ( they sum to 180)
that means x = 30
then the small triangle on the right has 60 + 30 + y = 180
meaning y = 90 °
10,000,000+2,000,000+400,000+30,000
The area of a square is simply the side length squared and we are given that the area is 125 so:
s^2=125
s=√125
s=5√5
Now using the area equation again, and adding 1 inch to s we have:
A=(s+1)^2, and using s found above we have:
A=(5√5+1)^2
A=125+10√5+1
A=126+10√5 in^2
A≈148.36 in^2 (to nearest hundredth of a square inch)
