Give the coordinates of the point that would divide AB into a ratio of 2:1. A(4,4) B(2,-5)

(10/3, 1)

Step-by-step explanation:

Give the coordinates of the point that would divide AB into a ratio of 2:1. A(4,4) B(2,-5)

The formula for calculating the coordinate of a point divided in the ratio a:b is expressed as;

X = ax1+bx2/a+b

Y = ay1+by2/a+b

Given the coordinates A(4,4) B(2,-5) divided in the ratio 2:1

X = 2(4)+1(2)/2+1

X = 8+2/3

X = 10/3

Similarly;

Y = 2(4)+1(-5)/2+1

Y = 8-5/3

Y = 3/3

Y = 1

Hence the required coordinate is (10/3, 1)

answer: howdy

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."