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Assoli18 [71]
3 years ago
14

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 55 miles per

hour. The westbound train travels at 75 miles per hour. How long will it take for the two trains to be 182 miles apart?
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
6 0

Answer:

95+75=170 mph=speed at which the two trains are moving apart

travel time=distance/speed=374/170=2.2

How long will it take for the two trains to be 374 miles apart? 2.2 hrs

Step-by-step explanation:

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vfiekz [6]

Answer:

y=\frac{1}{2}x-5

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
  • Parallel lines always have the same slope and different y-intercepts

<u>1) Determine the slope (m)</u>

x-2y=6

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

x-2y-x=6-x\\-2y=-x+6

Divide both sides by -2

y=\frac{1}{2} x-3

Now, we can identify clearly that the slope of the given line is \frac{1}{2} since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of \frac{1}{2} as well. Plug this into y=mx+b:

y=\frac{1}{2}x+b

<u>2) Determine the y-intercept (b)</u>

y=\frac{1}{2}x+b

Plug in the given point (-6,-8)

-8=\frac{1}{2}(-6)+b\\-8=-3+b

Add 3 to both sides to isolate b

-8+3=-3+b+3\\-5=b

Therefore, the y-intercept is -5. Plug this back into y=\frac{1}{2}x+b:

y=\frac{1}{2}x-5

I hope this helps!

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Answer:

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem or a^2+b^2=c^2.

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Step-by-step explanation:

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Answer:

x=48

Step-by-step explanation:

to get x alone, you have to multiply both sides by 2, and 24 times 2 is 48

plz brainliest :)

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