Use the list method to write "the perfect square integers between 1 and 80 inclusive".

{1, 4, 9, 16, 25, 36, 49, 64, 80}
{4, 9, 16, 25, 36, 49, 64}
{1, 4, 9, 16, 25, 36, 49, 64}

ANSWER

{1, 4, 9, 16, 25, 36, 49, 64}

EXPLANATION

The perfect square integers between 1 and 80 inclusive are obtained by squaring the natural numbers from 1 to 8

The square of the next number does not fall within the given range.

Therefore "The perfect square integers between 1 and 80 inclusive" are

{1, 4, 9, 16, 25, 36, 49, 64}

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

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."