Which point, (5,-1) or (5,-5), is a greater distance from the x-axis? Prove your answer using a statement of inequality?

(5, -5) ; Inequality would be |-5| > |-1|

Step-by-step explanation:

The point (5,-5) is at a larger vertical distance than the point (5,-1)

An inequality you can use to prove this would be the following!...

What this reads, is 'the absolute value of -5 is greater than the absolute value of -1. Since we know distance cannot be negative, we can find the absolute value of a number to show the actual distance!

step-by-step explanation:

4227473658779875563886538705958641728563470543621287463824132573847969p05749365273847906970680574936214

- "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."