The length of each of the legs of an isosceles triangle is represented by the expression 6x – 2 inches. The length of the base of the isosceles triangle is
represented by the expression 3x + 1 inches. The perimeter of the isosceles
triangle is 42 inches. What is the length of the base?

Step-by-step explanation:

nd points

- "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."