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PLS HELP Geometry!!!! WILL MARK BRAINLIST
A point Q on a segment with endpoints A(2,-1) and C(4,2) partitions the segment in a 3:1 ratio. Find Q. You must show all work

Respuesta :

[tex]\\ \rm\Rrightarrow Q(x,y)=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

  • Here m=3
  • n=1

[tex]\\ \rm\Rrightarrow Q(x,y)=\left(\dfrac{3(4)+1(2)}{3+1},\dfrac{3(2)+1(-1)}{3+1}\right)[/tex]

[tex]\\ \rm\Rrightarrow Q(x,y)=\left(\dfrac{14}{4},\dfrac{5}{4}\right)[/tex]

[tex]\\ \rm\Rrightarrow Q(x,y)=\left(\dfrac{7}{2},\dfrac{5}{4}\right)[/tex]

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