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.
length (l) =54
breath (b) =72
l²+b²= diagonal²..........(Pythagoras theorem) and (all sides of rectangle are 90degree)
(54)²+(72)²=diagonal²
2916+5184=diagonal²
8100=diagonal²
90= diagonal.............(taking square root)
length of diagonal is 90ft
i hope it helps
have a nice day and thanks for asking this question
Answer:
answer is c hope this helps can i have branliest
Answer:
13/12
Step-by-step explanation:
Well, you can't add it yet because the denominators don't match. We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change as well. So, multiply 3 by 8, and get 24. Since 4 is evenly divided by 8, we can multiply just one term to get a common denominator. Multiply 3 by 2, and get 6, then we multiply 4 by 2 and get 8. Since our denominators match, we can add the numerators. So now your answer should be 9/8. Well guess what... IT IS THE ANSWER! You can't reduce it anymore so 9/8 is your answer! Hope this helped!
The answer is 35000. Because 2 significant figures means the 2nd number, in this case it is the number 4 and if we want to round off something, look at the next number, if more than 5 or 5, you must round up.