The answer would be √32 or 4√2 (which is simplified) because of pythagoras' theorem. If we substitute a = b = 4 into it, then c must equal the root of 16 + 16, or 32.
If you are given a function, say f(x) = mx+c
This function would give you the relation between two variables, in other words it tells you the output when an input "x" is inserted.
The input for your function would be "x" and the output would be the result of the equation given.
Based on this:
for f(3) = 15, the input (x) would be 3 and the output would be 15
Therefore, the correct choice is:
<span>B) the output is 15, the input is 3</span>
Answer:

Step-by-step explanation:
Using the product to sum formula
sinxcosy =
[ sin(x + y) + sin(x - y) ] , then
2sinxcosy = sin(x + y) + sin(x - y)
Given
2sin75°cos15° ← with x = 75 and y = 15 , then
= sin(75 + 15) + sin(75 - 15)
= sin90° + sin60°
= 1 + 
= 
Let the age of ahmed three years ago be x years old. since 3 years ago ahmed as one third of his sister's age, his sister would be 3x years old 3 years ago.
in a year's time, ahmed would be x+4 years old and his sister would be 3x+4. we also know that in a year's time ahmed's age doubled will match his sister's age. hence 2(x+4)=3x+4
2x+8=3x+4
4=x
x is the age of ahmed three years ago. hence, now ahmed is 7 years old.
Answer:
meters
Step-by-step explanation:
Let's take climbing down as "negative" and climbing up as "positive". Now, we can simply use the numbers and signs to find the change in elevation.
meters down means 
meters up means 
So, now we have: 
<u>Eric's elevation changed
meters above. So after the 2 moves, he is up by
meters.</u>