Find the area of the shaded region of the figure below. Each small square is 1 cm x 1cm.

23 cm²

Step-by-step explanation:

Since the squares are each 1 cm × 1 cm, you can technically count all the shaded squares, but it is good to do it mathematically.

We can separate this shape into 1 parts. The top part sticking up is a square and the bottom, a rectangle. We find the area for both parts and add them together.

Square:

3 cm × 3 cm = 9 cm²

Rectangle:

2 cm × 7 cm = 14 cm²

Total:

9 cm² + 14 cm² = 23 cm²

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

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."