Triangle abc is reflected over the line y=x . triangle abc has points a (10,2) , b (9,5) and c (6,4) . what is the c' coordinate?

C'=(4,6)

Step-by-step explanation:

The reflexion of a point P with coordinates (x,y) over the line y=x is the point P' with coordinates (y,x). For example, the reflection point of a with coordinates (10,2) is a' with coordinates (2,10).

For this reason, the point c y reflect in C' with coordinates (4,6).

The solution is also shown in the attachment.

- "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."