Point f is on line segement eg . given fg = 5x +1 ,eg=5x+7 and ef = 2x-2, determine the numerical length of ef

6 units

Step-by-step explanation:

The segment addition postulate states that if we are given two points on a line segment, E and G, a third point F lies on the line segment EG if and only if the distances between the points meet the requirements of the equation

EF + FG = EG        (*)

In your case,

EF = 2x-2 units,

FG = 5x+1 units,

EG = 5x+7 units.

Substitute it into the equality (*)

Now, the length EF is equal to

4y - 6 + y^2 - 9 = y^2 + 4y - 15

y^2 term

terms

- terms

total of 3 terms when simplified

step-by-step explanation:

0 and 5 minutes

step-by-step explanation:

given that one morning eight buses arrive late by the number of minutes given below:

0 8 2 6 9 2 0 7 8

write these in ascending order

0   0 2 6 7 8 8 9

in the afternoon two more buses arrive at the bus stop say by x and y minutes late.

total number of buses = 10

median = average of 4th and 5th after arranging in ascending order

since 4th entry is 6, the values of x and y should be below 6

also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode

thus we have

0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.

since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2

thus the after noon buses were late by 0 and 5 minutes.