Question

K is the midpoint of line AB. If line AK=3x+1 and line KB=1/3x+9, find the length of AK.

Answer 1

ok
A.......K.......B
well AK and KB are equal so this has to be true: 3x+1=1/3x+9
now we have to get x by itself.....subtract 1 from both sides
3x=1/3x+8 now subtract 1/3x from both sides
3x-1/3x=8 you are left with...2.667x=8
divide both sides by 2.667 and you get
x=2.999 Rounded up is 3=x
now plug x(3) into either one of the segments and multiply your result by 2
so....3(3) +1=10*2=20!
20 units is the answer
hope this helps =]

Answer 2

Thank you :3