For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:
The given line is:
So we have:
We find
So, a line perpendicular to the one given is of the form:
We substitute the given point to find "b":
Finally we have:
In point-slope form we have:
ANswer:
The required diagram is attached in the picture below :
Answer:
15.05 miles
2 :09:12
5 hours 19 minutes 18 seconds
Step-by-step explanation:
Given :
28/4/18:
Time : 1 :03 : 25
Fastest mile = 02 : 25
Distance = 15.05 miles
03/5/18:
Time : 2:06: 41
Fastest mile = 02 : 53
Distance = 28.70 miles
08/5/18:
Time : 2 :09:12
Fastest mile = 02 : 45
Distance = 26.39 miles2
1.) shortest distance cycled :
From the data:
15.05 < 26.39 < 28.70
Shortest distance cycled = 15.05 miles
The longest the cycled:
1 :03 : 25 < 2:06: 41 < 2 :09:12
Longest = 2 :09:12
Total cycling time :
1 :03 : 25 + 2:06: 41 + 2 :09:12
(1 + 2 + 2)= 5 hrs
(03 + 06+ 09) = 18 minutes
(25 + 41 + 12) = 78 seconds = 1 minute 18 seconds
18 minutes + 1 minute = 19 minutes
Total = 5 hours 19 minutes 18 seconds
