AD= 36 cm. Points C, B∈AD, such that AB:BC:CD=2:3:4. Find the distance of midpoints of the segments AB and CD. HELP ASAP PLZ will give brainiest if u get it right!

Distance of midpoints of the segments AB and CD is 24 cm.

Step-by-step explanation:

Given that

AD = 36 cm

Points C and B are in segment AB.

The ratio of distance AB:BC:CD = 2:3:4

To find:

Distance of midpoints of the segments AB and CD  ?

Solution:

The ratio of distance AB:BC:CD =2:3:4

Let AB =

Let BC =

Let CD =

Now, it is clear that AD = AB + BC + CD

Putting the value of x to find AB, BC and CD:

AB =

BC =

CD =

Now, mid point of AB will be on the right side of point A.

And

mid point of CD will be on the left side of point D.

If we subtract 4 and 8 from AD we will get distance between mid points of segments AB and CD.

So, Distance of midpoints of the segments AB and CD = 36 - 4 -8 = 24 cm.

Distance of midpoints of the segments AB and CD is 24 cm.

- "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."

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.