Answer: 
Required theorem:
Pythagorean theorem = 
In other words, one side length squared + another side length squared = the middle lined squared.
Step-by-step explanation:
We can only have a positive distance so your final answer is :
Answer = the value in the second picture or middle
The one in the second picture
The bar on top of the numbers 12 means that the 12 keeps on re-occurring
Base case: For 
, the left side is 2 and the right is 
, so the base case holds.
Induction hypothesis: Assume the statement is true for 
, that is
We want to show that this implies truth for 
, that
The first 
terms on the left reduce according to the assumption above, and we can simplify the 
-th term a bit:
so the statement is true for all 
.
Answer:
C
Step-by-step explanation:
Key in the expression is "s" that represents students going to the trip
The first part shows what the adventure park is going to charge, a group day charge of $300 and $30 more for the students taking the ropes course
300+30*s
The second being the amount the class can get, $500 the have in the account and $25 per student in tickets they have to sell
500+25s
The result of this subtraction is the money they need to raise to complete
C: The expression shows how much money the freshman class may need to raise in order to afford the event
