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Jlenok [28]
3 years ago
14

Two trains going in opposite directions leave at the same time. Train B travels 30 mph faster than train A. In 3 hours the train

s are 330 miles apart. Find the speed of each.
Mathematics
1 answer:
insens350 [35]3 years ago
6 0
Using the magic of algebra!:

The time each train goes in 1 hour will be represented as a / b.
b is 30 more than a, so if we add 30 to a it should equal b.
a + 30 = b
In three hours, the trains are 330 miles apart.
Esentially, we're adding up the distance each train goes from the starting point to find the distance between them.
3b + 3a = 330
Now we have a system of equations to solve.
a + 30 = b
3b + 3a = 330
We want to get the variables on seperate sides of the equation for easy solving.
a + 30 = b
3b = 330 - 3a
Then get the value of the one variable the same so we can use the transitive property.
a + 30 = b
b = 110 - a

a + 30 = 110 - a
2a + 30 = 110
2a = 80
a = 40 
mph

(And thus b = 70 mph)
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Which graph represents the inequality 3y-5x&lt;-6? <br>​
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First Graph

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What is an equation in point-slope form for the line perpendicular to y = 7x + 14 that contains (3, –7)?
umka21 [38]

The equation of the perpendicular line is y + 7 = -1/7(x - 3)

<h3>How to determine the line equation?</h3>

The equation is given as

y = 7x + 14

Also, from the question

The point is given as

Point = (3, -7)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 7

This means that the slope of y = 7x + 14  is 7

So, we have

m = 7

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is -1/7

The equation of the perpendicular lines is then calculated as

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So, we have

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Evaluate

y = -1/7(x - 3) - 7

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Read more about linear equations at

brainly.com/question/4074386

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1 year ago
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