Nancy has to find the reflection of a point across the x-axis. How can she find the new coordinates without graphing the point? Is there a rule that she can apply to find it?

the only thing she needs to know is that in a reflection across the x-axis is when the x coordinate stays the same and the y-coordinates change.

Step-by-step explanation:

- "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."

the olimpics is not going to wokk out

step-by-step explanation: