Answer:
8 Units, let me know if you didn't understand anything.
Step-by-step explanation:
Translation is the simple movement of just left, right, up or down. when dealing with the absolute value function here are the transformations.
A|B(x - C)| + D where A is the vertical stretch that multiplies all y values by A save where y=D. B is the horizontal shrink, so you divide all x values by B except for where x=C. C is the horizontal shift, which is a translation. C makes ALL points on the graph move to the right by C or if C is negative it moves them to the left. it could also look like |x + C|. keep in mind, +C is actually -C because - -C = C. D shifts up and down, so it is also a translation. if D is positive it moves up and if D is negative it moves down.
Nowthe only transformation in your problem is -8, which is a horizontal shift to the right. so the graph moves 8 to the right. There is your answer, 8 units.
22.5 miles long
basically all you have to do is count out the factors until you reach two number of 45 apart
DIFFERENCE
7MPH 5MPH BETWEEN THEM
7 5 2
14 10 4
21 15 6
28 20 8
35 25 10
42 30 12
49 35 14
56 40 16
63 45 18
70 50 20
77 55 22
84 60 24
91 65 26
98 70 28
105 75 30
112 80 32
119 85 34
126 90 36
133 95 38
140 100 40
147 105 42
154 110 44
161 115 46
considering the differences are even it means it has to fall in the middle. if you count from the top it is 22.5 numbers down giving you the number of miles.
I'm sure there is an easier way but this is how i would solve it. :)
Option A
The centripetal acceleration is 1.32 
<em><u>Solution:</u></em>
From given question,
A cyclist rides in a circle with speed 5 m/s
The circle has a radius of 19 m
To find: Centripetal acceleration
<em><u>The formula for Centripetal acceleration is given as:</u></em>
Where,
= centripetal acceleration
r is the radius and v is the velocity
From given statement,
radius = r = 19 m
velocity = v = 5 m/s
<em><u>Substituting the values in above formula, we get</u></em>
Thus centripetal acceleration is 1.32
