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Orlov [11]
4 years ago
13

A motorboat take 5 hours to travel 100 km going upstream. The return trip take 2 hours going downstream. what is the rate of the

boat in still water? What is the rate of the current?
Mathematics
1 answer:
aniked [119]4 years ago
4 0
B= boat speed
r = river speed

d=rt
the rate of the river will either be added or subtracted from the rate of the boat

upstream
100=(b-r)(5)
100=(b+r)(2)

50=b+r
20=b-r

b=20+r
20 + 2r = 50

r=15km/h
b= 35km/h
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What are the roots of x in -10x2 + 12x − 9 = 0?
hoa [83]

Answer:

x_1=\frac{3(2+i\sqrt{6})}{10}

x_2=\frac{3(2-i\sqrt{6})}{10}

Step-by-step explanation:

Use the Quadratic formula:

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Now you need to substitute these values into the formula:

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Remember that:

i=\sqrt{-1}

Therefore,rewriting and simplifying, you get:

x=\frac{-12\±6i\sqrt{6}}{-20}

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Then, you get the following roots:

x_1=\frac{3(2+i\sqrt{6})}{10}

x_2=\frac{3(2-i\sqrt{6})}{10}

6 0
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or

t = (-1/8) (1 -√21) = 0.448 seconds (answer)

4 0
4 years ago
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