Question

2) Find the midpoints of the line segment with endpoints ( 4 12, 5/2) and ( 10/7, 4/7)3) suppose you have lunch with five friends and the total check (with tax and tips) is $252. how much should each person pay if you split the check evenly.

Answer 1

Mid point of the line segment joining two points, (a,b) and (c,d) is,

`((a+c)/(2),(b+d)/(2))_{}`

Here the points are,

`(4(1)/(2),\text{ }(5)/(2)),\text{ (}(10)/(7),(4)/(7))`

Therefore, the mid point is,

`(((9)/(2)+(10)/(7))/(2),((5)/(2)+(4)/(7))/(2))`
`((63+20)/(28),(35+8)/(28))`
`((83)/(28),(43)/(28))`