Give an equation of a line that is parallel to −3x + 7y =4. Explain why your line is parallel to the given line and how you arri
1 answer:
Answer:
3x -7y = 0
Step-by-step explanation:
Parallel lines have the same slope.
Changing the constant in a linear equation like this only changes the y-intercept. It has no effect on the slope of the line. So, we can change the constant from 4 to 0 and we will have a line with the same slope, parallel to the original, but with a different y-intercept.
The "standard form" of the equation of a line has the leading coefficient positive. We can make that be the case by using the multiplication property of equality, multiplying both sides of the equation by -1.
Parallel line:
-3x +7y = 0
In standard form:
3x -7y = 0
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Answer:
Step-by-step explanation:
let they travel the distance between them alone
d = common distance traveled by both motorcycle and car = 540 miles
= time taken by motorcycle to travel distance between them
= speed of the motorcycle = 48 mph
time taken by motorcycle to travel distance between them is given as
= d/
=540/48
= 11.25 h
= time taken by car to travel distance "d" =11.25 - 2.25 = 9 h
= speed of the motorcycle
speed of motorcycle is given as
= d/
= 540/9
= 60 mph
when the car and motorcycle move towards each other, the relative speed is given as
v = +
v = 60 + 48
v = 108 mph
t = time taken to meet
Time taken to meet is given as
t = d/v
t = 540/108
t = 5 h