Answer:
They are 240 kilometers apart.
Step-by-step explanation:
This question can be solved using the following relation:
In which v is the velocity, d is the distance and t is the time.
An express train travels 80km/h from Ironton to Wildwood.
Here we have . So
A local train, traveling at 48km/h, takes 2 hours longer for the same trip.
This means that when
Since
Applying cross multiplication
So the distance is:
They are 240 kilometers apart.
Answer:
y=-3x+5
Explanation:
Given a line L such that:
• L has y-intercept (0,5); and
,• L is perpendicular to the line with equation y=(1/3)x+1.
We want to find the equation of the line in the slope-intercept form.
The slope-intercept form of the equation of a straight line is given as:
Comparing the given line with the form above:
Next, we find the slope of the perpendicular line L.
• Two lines are perpendicular if the product of their slopes is -1.
Let the slope of L = m1.
Since L and y=(1/3)x+1 are perpendicular, therefore:
The y-intercept of L is at (0,5), therefore:
Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.
The equation of line L is: