C. 1/root2
Based on the information, the hypotenuse will be 6root2 because it is a 45, 45, 90 triangle. The two legs will be 6. Using SOH CAH TOA, we know that for cosine, it will be adjacent/hypotenuse. The adjacent side is 6 and the hypotenuse is 6root2. The result will be (6)/(6root2). After simplifying, we get 
1/root2.
        
             
        
        
        
Answer:
The first and third options are the examples of exponential functions.
Step-by-step explanation:
When a quantity is compounded after a certain interval of time at a certain rate, then we can assume that the situation can be represented by an exponential function.
In the first option:  An event organizer finds each year's attendance for the past five years is about 
 of previous year's attendance.
So, here the total attendance is compounding every year by a factor 
 of previous year's attendance.
Again, in the third case: The total population is increasing by about 7.5% each year.
Hence, the population is compounded every year by 7.5% of the previous year's population.
Therefore, the first and third options are examples of exponential functions. (Answer)
 
        
             
        
        
        
Answer:
2
Step-by-step explanation:
|-6+8|
Add/subtract the numbers: -6 + 8 = 2 
= |2|
Apply the absolute value rule: |a| = a, a ≥ 0
= 2
 
        
             
        
        
        
Answer:

Step-by-step explanation:
<u>Given</u>
<u />
<u>Swap x and y and solve for y</u>
<u />
<u>Final answer</u>
<u />
Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.