Given that speed of the cyclist = 36 kilometers per hour.
Now question says to find the speed in meters per second.
We know that 1 kilometer = 1000 meter
and 1 hour = 3600 seconds
so to convert 36 kilometers per hour into meter per second, we will multiply 36 by 1000/3600
36*1000/3600
=36*10/36
=10
Hence final answer is speed = 10 meters per second.
That 10 meters per second means cyclist will travel 10 meters in 1 second.
Now to find distance travelled in 5 seconds, we just need to multiply 10 and 5
So the final answer will be 10*5 or 50 meters.
Question 1) Write an absolute value equation that is reflected, vertically shifted 2/3 units down and 1/2 units to the right.
Answer 1):
We know that absolute function is given by y=|x|
reflection happens when we multiply by negative sign so we get
y=-|x|
To get vertical shift down, we subtract so new equation is
y=-|x|-2/3
To get right shift by h unit, we replace x by (x-h) so the new equation is
y=-|x-1/2|-2/3
Hence final answer is

Question2) Write an absolute value equation with a horizontal shift 4 units to the right.
Answer:
We know that absolute function is given by y=|x|
To get horizontal right shift by h unit, we replace x by (x-h) so the new equation is

Hence final answer is
.
Hello!
The rule regarding the division of exponents states the following:

=

Insert any known values into the formula above:

=

Simplify the expression:

=
We have now proven that
is equal to
.I hope this helps!
TABLE A = y=5x
TABLE B = y=-1/3x
Answer:
.
Step-by-step explanation: