Answer:
10
Step-by-step explanation:
used Pythagorean theorem
a ^2+b^2=c^2
6^2+8^2=c^2
36+64=c^2
c^2= 100
find square root of 100 to find c
=10
Answer:
answer is in explanation
Step-by-step explanation:
The vertex is 
Explanation:
The equation is 
To find the vertex, we need the equation in the form of 
Dividing each term by 2 in the equation 

Now, completing the square by adding and subtracting 1, we get,

The first three terms can be written as
,
![f(x)=2[(x+1)^{2}+\frac{1}{2} ]](https://tex.z-dn.net/?f=f%28x%29%3D2%5B%28x%2B1%29%5E%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%20%20%5D)
Multiplying 2 into the bracket, we get,

This equation is of the form 
Now, we shall find the vertex 
Thus,
and 
Thus, the vertex is 
For every 3 seconds, the scuba diver dives 0.5 feet
after 15 seconds = your answer
3 x 5 = 15
0.5 x 5 = your answer
your answer = 2.5
2.5 is your answer
hope this helps