Answer:
The current of the water is 1.714 mph.
Step-by-step explanation:
Let the boat in t hours can travel 18 miles upstream, and 24 miles downstream.
Therefore, if the speed of the boat in still water is 12 mph and that of water is x mph , then we can write
........ (1) and
............ (2)
Now, adding those two equations (1) and (2) we get,
⇒ t = 1.75 hours.
Now, from equation (1) we get
⇒ x = 1.714 mph
Therefore, the current of the water is 1.714 mph. (Answer)
Answer: x" = 5.69
Step-by-step explanation:
The graphic solution is attached.
Verifying the solution:
Existence condition: x > 0
2x - 4 = √x + 5
√x =2x - 4 - 5
√x =2x - 9 (²)
x = (2x - 9)²
x = 4x² - 36x + 81
4x² - 36x - x + 81 = 0
4x² - 37x + 81 = 0
Δ = -37² - 4.4.81 = 1369 - 1296 = 73
x = 37 ±√73/8
x' = 3.55
x" = 5.69
checking:
2*3.55 - 4 = 3.1
√3.55 + 5 = 6.88 Its not the same ∴ 3.55 is not a solution
2*5.69 - 4 = 7.39
√5.69 + 5 = 7.39 ∴ it's the only solution
Answer:
Step-by-step explanation:
Simplify:
-32y^13 is your answer.