X - Linda's speed
(x+8 )- Colleen's speed
8x - Linda's distance for 8 h
8(x+8) = 8x+64 - Colleen's distance for 8 h
8x + 8x + 64 = 176 - distance between Colleen and Linda after 8 h
8x + 8x + 64 = 176
16x +64 = 176
16x = 176 - 64
16x = 112
x= 7 mph Linda's speed
x+8 = 7+8 = 15 mph Colleen's speed
Set the function to equal zero:

To find the zeros, or solutions, to this problem, we will use the quadratic formula:

Plug the values into the equation:




Solve for both plus and minus:



The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.
The answer is
'<span>
x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>
Answer:
(a) 
Step-by-step explanation:
Given


Required
Determine the time in each lap
The unit time in each lap is calculated by dividing the total time by the number of laps; i.e.;

Substitute values for Time and Lap

Isabelle has a leash for her dog in the backyard. The leash is attached to a post which allows thedog to travel in a circle around the post. The leash is 3 feet long. How much of the yard can thedog reach while on the leash?