Answer:
7.5
Step-by-step explanation:
because 7.5 x 16 = 120
Answer:
3√29
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
Distance
Well, from what I can tell, we just have to combine like terms, meaning that all of the terms that have the same variables can be combined:
F = (ABC + ABC) + A'B
F = 2ABC + A'B
If that's not what you meant, or if you have questions, feel free to let me know! :)
Answer:
-390 mph
Step-by-step explanation:
Let a and b represent, respectively, the distances of A and B from the airport. The distance d between the planes is then given by the Pythagorean theorem as ...
d² = a² + b²
Differentiating with respect to time, we have ...
2d·d' = 2a·a' +2b·b'
Solving for d', we get ...
d' = (a/d)a' +(b/d)b'
The value of d at the time of interest is ...
d = √(a² +b²) = √(30² +40²) = √2500 = 50
Then the rate of change of separation is ...
d' = (30/50)(-250 mph) +(40/50)(-300 mph) = (-150 -240) mph
d' = -390 mph
The distance between planes is decreasing at 390 miles per hour.
