Solve the inequality for x. -24 > x +4
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When the lightning occurs 4.5 km away then we will hear after 13.5 seconds and if we hear after 1.5 seconds then we are 0.5 km away from lightning.
Given With each km from the lightning 3 seconds passes.
a) The table of values for distances from 0 to 5 km.
Distances Time
0 0
1 3
2 6
3 9
4 12
5 15
b) The graph of lightning is a linear relation because it is increasing constantly by 3 seconds. f(x)=3x
c) When distance =1 , the time be 3 seconds
when distance =4.5 , the time=3*4.5
=13.5 seconds.
d) When time is 3 seconds = 1km
when time =1.5 seconds , the distance be 1/2=0.5 km.
Learn more about graph at brainly.com/question/4025726
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The equation of a line in Slope-Intercept form, is:
Where "m" is the slope of the line and "b" is the y-intercept.
By definition:
- The slopes of parallel lines are equal and the y-intercepts are different.
- The slopes of perpendicular lines are opposite reciprocals.
For this case you need to rewrite the equations given in the exercise in Slope-Intercept form by solving for "y".
- Line #1:
You can identify that:
- Line #2:
You can identify that:
Therefore, since:
You can conclude that: The graphs of the equation are parallel.