Given the vectors in component form: r = ⟨8, 4⟩

s = ⟨–3, –4⟩

t = ⟨–5, 1⟩

Perform the operations.

5r – 3s + 8t

What is the magnitude and direction angle of the resultant vector?

A. 10.8, θ = 56.3°

B. 18.4, θ = 119.4°

C. 41.0, θ = 77.3°

D. 97.6, θ = 24.2°

- "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."

3x + 4y -25 =0 represents the amount of change sianna should recieve

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )