Answer:
d = (5√53)t
Step-by-step explanation:
After 1 hour, A is 10 miles north of the port, and B is 35 miles east of the port. Since these directions are at right angles, the Pythagorean theorem can be used to find the distance between the ships:
d = √(10² +35²) = √(100 +1225) = √1325 = 5√53 . . . . miles
The distance between the ships is increasing this number of miles each hour, so the desired expression is ...
d = (5√53)t ≈ 36.4t
The equation of the line passing through
and
is given by

In your case, the points are (1,4) and (2,2). Plug these values in the equation to get

We can rewrite the equation as

Answer:
Zero slope
Step-by-step explanation:
We know that rate is equal to distance per time. You can use this relation to solve for what is asked here. We calculate as follows:
Rate = distance / time = 55 miles/hour
since we are asked for the time it takes to reach 3/4 the destination.We just use 3/4 of the value of the distance.
55 = (3/4)(440) / t
t = 6 hours
Hope this answers the question. Have a nice day.