Answer:
The vertex is (6, -4)
Step-by-step explanation:
f(x) =(х – 8)(х – 4)
First find the zeros
0 = (х – 8)(х – 4)
0 = x-8 0 =x-4
x=8 x=4
The zeros are x=8 and x=4
The vertex is 1/2 way between the zeros
(8+4)/2 = 12/2 =6
To find the y value, substitute 6 into the function
f(6) = (6-8) (6-4)
= -2 (2) = -4
The vertex is (6, -4)
Answer:

Step-by-step explanation:
Given that,
A wheel with radius 1 foot makes 1 revolution in 4 seconds
We need to find the linera velocity of a point on the edge of the wheel. We know that, the linear velcity is given by :

Where
is angular velcocity,

So

So, the linear velocity of the wheel is equal to
.
Easy just divide the first two number by each other and you’ll bet the unit rate
We can conclude that the the two peaks are 816.11 feet apart, and the altitude of the taller peak is 5475.17 feet.
Please check the detailed explanation in the images attached, and let me know what you think. :)