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DaniilM [7]
2 years ago
14

It takes a boat 4 hours to travel downstream 84 miles and 5 hours to travel up stream 55 miles. What is the speed to the boat in

still water ? Mph what is the speed of the current ? Mph
Mathematics
1 answer:
Olegator [25]2 years ago
7 0

Answer:

16 MPH boat speed still water

5 MPH current speed


Step-by-step explanation:

84/4 - x = 55/5 + x

x = (84/4-55/5)/2 = 5 mph current speed in MPH

11+5 = 16 is boat speed in MPH

21 MPH downstream, 11 MPH upstream

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The answer is <span>√x + √y = √c </span>
<span>=> 1/(2√x) + 1/(2√y) dy/dx = 0 </span>
<span>=> dy/dx = - √y/√x </span>

<span>Let (x', y') be any point on the curve </span>
<span>=> equation of the tangent at that point is </span>
<span>y - y' = - (√y'/√x') (x - x') </span>

<span>x-intercept of this tangent is obtained by plugging y = 0 </span>
<span>=> 0 - y' = - (√y'/√x') (x - x') </span>
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<span>y-intercept of the tangent is obtained by plugging x = 0 </span>
<span>=> y - y' = - (√y'/√x') (0 - x') </span>
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<span>Sum of the x and y intercepts </span>
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<span>= (√x' + √y')^2 </span>
<span>= (√c)^2 (because (x', y') is on the curve => √x' + √y' = √c) </span>
<span>= c.  hope this helps :D</span>
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3 years ago
The answer bNamamakakKkKkkKk
skad [1K]
That is really easy how don't you know
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