Answered

a point m on a segment with end points x(1,-2) and y (10,3) partitions the segment in a 5:1 ratio find m you must show all work to receive credit



Answer :

sqdancefan

Answer:

 m = (8 1/2, 2 1/6)

Step-by-step explanation:

You want the point m that partitions xy in a 5:1 ratio, given x(1, -2) and y(10, 3).

Partition

The point M that partitions AB into the ratio m:n is given by ...

  M = (mB +nA)/(m+n)

Using this formula for the given ratio and points, we have ...

  m = (5y +1x)/(5+1)

  m = (5(10, 3) +(1, -2))/6 = (50+1, 15-2)/6

  m = (51/6, 13/6) = (8 1/2, 2 1/6)