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.
The answer is D :) hope this helped
Answer:
Step-by-step explanation:
If it is, the first and last terms are perfect squares, and the middle term is twice the product of the roots of those squares.
16x^ = (4x)^2 . . . . a perfect square
49 = 7^2 . . . . . . . a perfect square
-2(4x)(7) = -56x . . . . . matches the middle term, so the factoring is ...
16x^2 -56x +49 = (4x -7)^2
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The sign in the binomial factors is the same as the sign of the middle term of the trinomial.
Answer:
It is 8/24 = 1/3 (~33.33%)
Answer:
20
Step-by-step explanation:
2 1/2 = 5/2
5/2 x 4/1 = 20/1 = 20
(We are dividing fraction)
(keep change flip)