Question

A point T on a segment with endpoints D(1,4) and F (7,1) partitions the segment in a 2:1 ratio. find T.

Answer 1

please help medal will be given

Answer 2

@zepdrix can you help me with this

Answer 3

ahemm thought you've covered this already =)

Answer 4

like quite a few times by now

Answer 5

i have short term memory and i am very bad at math :-)

Answer 6

hmmm maybe it wasn't ... you I recall anyhow.. gimme a sec

Answer 7

SOMEONE HELPPP

Answer 8

\(\bf D(1,4)\qquad F(7,1)\qquad ratio1=2\qquad ratio2=1\qquad 2:1\\ \quad \\ \quad \\

\cfrac{DT}{FT}=\cfrac{ratio1}{ratio2}\implies ratio2\cdot DT=ratio1\cdot FT\quad \textit{dividing by T}\\ \quad \\
ratio2\cdot D=ratio1\cdot F\implies 1(1,4)=2(7,1)\\ \quad \\\qquad

{\color{blue}{ T=\left(\cfrac{\textit{sum of "x" values}}{ratio1+ratio2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{ratio1+ratio2}\right)}}\\ \quad \\

\qquad thus\qquad \\ \quad \\
T=\left(\cfrac{(1\cdot 1)+(2\cdot 7)}{2+1}\quad ,\quad \cfrac{(1\cdot 4)+(2\cdot 1)}{2+1}\right)\)

Answer 9

THANK YOU SO MUCH. i wont forget this time :)

Answer 10

@jdoe0001

Answer 11

yw