Answer:
The possible coordinates of point A are 
and 
, respectively.
Step-by-step explanation:
From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:
(1)
Where:
- Length of the line segment AB.
- x-coordinates of points A and B.
- y-coordinates of points A and B.
If we know that 
, 
, 
and 
, then the possible coordinates of point A is:
There are two possible solutions:
1) 
2) 
The possible coordinates of point A are and , respectively.
Answer: x<61.63
Step-by-step explanation: Add 200 to both sides, giving you 15.56x<958.92
.
Than divide by 15.56 giving you x< x<61.627249
Round to the nearest hundredth giving you x<61.63
Answer:
1 hour
Step-by-step explanation:
I find these easiest to work by considering the initial difference in distance and the speed at with that gap is closing.
__
The gap is 15 miles, the distance the first ship is from harbor when the second ship starts.
The rate of closure is the difference in the speeds of the two ships:
60 mph -45 mph = 15 mph
Then the closure time is ...
time = distance/speed
time = (15 mi)/(15 mi/h) = 1 h
It will take the second ship 1 hour to catch up to the first ship.
