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borishaifa [10]
3 years ago
6

A boat traveled 240 miles downstream, then 240 miles back upstream. The trip downstream took 20 hours. The trip back upstream to

ok 60 hours. Use this information to fill in the following blanks. Note: Express your answers as integers.
The speed of the boat in still water is [answer]
miles per hour.

The speed of the current is [answer]
miles per hour.
Mathematics
1 answer:
kotykmax [81]3 years ago
4 0

Answer:

it takes longer for the boat to get back because it's moving against the current. to see how fast the boat is moving, you divide the amount of miles traveled, by how long it took.

240/20 = 12

in still water the boat travels it's 12 miles per hour

240/ 60 = 4

against the current, the boat travels 4 miles per hour

if you need to find the speed of the current, you need to find the resistance that's going against the boat making it slow down. you do that by doing        12 - 4 = 8 miles per hour is the speed of the current.

Step-by-step explanation:

I hope this helps :)

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Paralell to y=4x-6 through (12,10)
stiks02 [169]

<u>ANSWER</u>

The line that is parallel to y=4x-6 through (12,10) is  y=2x-14.



<u>EXPLANATION</u>


The equation that is parallel to the line y=4x-6 has a slope that is equal to the slope of this line.

By comparing this equation to the general slope intercept form,

y=mx+c,this line has slope m=2.


Hence the line parallel to this line also has slope m=2.

Let y=mx+b be the equation of the line parallel to the line

y=4x-6

We can substitute m=2 to obtain;

y=2x+b


If the line passes through the point (12,10),then this point must satisfy its equation.


We substitute x=12 and y=10 to obtain;


10=2(12)+b


We this equation for b.


\Rightarrow 10=24+b


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We substitute this value of  b=-14 in to y=2x+b to get;


y=2x+-14.


Hence the equation of the line that is parallel to y=4x-6 through (12,10) is  y=2x-14.




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