A, E and B lie on a straight line segment. C, D and B lie on a straight line segment. BD = 3m, CD = 12m and AB = 19m. Work out the length of BE. Give your answer as a decimal. please help

3.8m

Step-by-step explanation:

If A, E and B lie on a straight line segment. C, D and B lie on a straight line segment, based on their similarities,

AB/CB = BE/BD

Given

BD = 3m,

CD = 12m

AB = 19m.

CB = CD+BD

CB = 12+3 = 15m

On substituting

19/15 = BE/3

Cross multiply

15BE = 19×3

15BE = 57

BE = 57/15

BE = 3.8m

Hence the length of BE is 3.8m

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)