If ( x + y )^3 is expanded, what is the sum of the numerical coefficients?

8

Step-by-step explanation:

We know that , can be written in expanded form as .

Similarly , can be written in expanded form as .

The numerical coefficients are basically the constant multiplier in the variables in each term.

The numerical coefficient for term  =  1

The numerical coefficient for term  =  1

The numerical coefficient for term  =  3

The numerical coefficient for term  =  3

Then, the  sum of the numerical coefficients =1+1+3+3 =8

Hence, the sum of the numerical coefficients is 8.

step-by-step explanation:

their are no angles. sorry cant .

- "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."