The width of a rectangle measures (3v-3w) centimeters, and its length measures (5v-9w) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

The Perimeter of the rectangle, P= 16v −24w

Step-by-step explanation:

Perimeter of a rectangle  = 2( L +W) =   2L + 2W

The width of a rectangle is given as  (3v-3w) centimeters,

its length is given as (5v-9w) centimetres

The Perimeter,P will now be  = 2L + 2W

P=2( 3v-3w) + 2( 5v-9w)

P=6v  −6w + 10v  - 18 w

 adding like terms

P=6v + 10v  −6w −18 w

P= 16v −24w

2x^2+5x+17

your welcome. : )

- "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."