Which of the following expressions represents the distance between -4/3 and 1/3?

none of the above

Step-by-step explanation:

Take the absolute value of the second point and subtract the first point

| 1/3 -( -4/3)|

Since this answer does not match any of the above choices

None of the above.

Step-by-step explanation:

The distance between -4/3 and 1/3 is

|1/3-(-4/3)| =|1/3 + 4/3|

This is not in the option so;

None of the above.

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."