Line stack a b with bar on top is partitioned at point c, with ratio 3: 4, and its midpoint is d. a(6,17) b(13,3) coordinates for point c     ,  point d (decimal) distance for stack ab with bar on top (in radical form)

Easy

ok, so the midpoint formula
the midpoint of the 2 points and is

so midpoint of (6,17) and (13,3) is
=
=
(9,10)

point D is (9,10)

ok, so the other onne

this is kind of tricky but not

we must do
3:4 right?
so 3+4=7
divide the line into 7 segments and take 3 of them
Assming AC:CB=3:4
hmm, to divide the segment into 1:1, we did 1+1=2, and multiplied each sum of points by 1/2
so multiply each by 3/7




in decimal
(7.7142857142857142857142857142857,8.5714285714285714285714285714286)

distance between (x1,y1) and (x2,y2) is

distance between (6,17) and (13,3) is



=

point C is or (7.7142857142857142857142857142857,8.5714285714285714285714285714286) in decimal
point D is (9,10)
Distance between points A and B is or

If you need an equation, it would be y=2x+8, y would be how long it grew, x being weeks.if you need how long he was asleep, it would be 4 weeks if he started with no beard, the equation would be x=8÷2if he did have a beard before hand, the equation would be 2w+x=8