Question

2. A sailboat with a sick passenger abroad is following a parabolic path given by

y = -x + 2x + 8. The boat's captain sent out a distress signal. A speedboat is trying to catch the sailboat to
provide medical aid and is on a path given by the linear equation y = -x + 8. Besides the y-intercept (starting
location) where do the paths of the two boats cross (show all the appropriate work and give answer in
coordinate pair notation)?

Answer 1

The sailboat and speedboat meet at x=3.

Explanation:

Assuming your first equation is
`-x^(2) +2x+8` (you missed the square).

`-x^(2) +2x+8=-x+8\\x^(2) -3x=0\\x(x-3)=0\\x=0\\x=3\\`