The step I will take is division
Let c represent the speed of the current.
time = distance/speed
Upriver, the current is subtracted from the canoe speed; downriver, it adds.
6 = 32/(12 -c) +32/(12 +c)
6(12² -c²) = 32(12 +c) +32(12 -c) . . . . . multiply by (12 +c)(12 -c)
0 = 6c² -96 . . . . . . . . . . . . . . . . . . . . . . subtract the left side
96/6 = c² . . . . . . . . . . . . . . . . . . . . . . . . add 96, divide by 6
4 = c . . . . . . . . . . . . . . . . . . . . . . . . . . . . take the square root
The rate of the current is 4 mph.
Answer:
Can I please have more details on what your question is?
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
y = x² - 6x + 11
Complete the square.
y = x² - 6x + 9 + 2
y = (x - 3)² + 2
a = 1, h = 3, k = 2
a + h + k = 6
