Question

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.

@jigglypuff314

Answer 1

ehhh *tilts head*
3:1 means you can split it into 4 parts
graph the given points

Answer 2

I dont understanf...

Answer 3

:(

Answer 4

Q=((mx2+nx1)/(m+n),(my2+ny1)/(m+n)
m=3,n=1

Source: http://www.mathskey.com/question2answer/

Answer 5

when you graph the points, you can see that there is a difference of 2 in the x aspect
so 2 divided by 4 parts = 0.5

Answer 6

A(x1,y1) C(x2,y2)
x1=2,y1=-1
x2=4,y2=2

Answer 7

uhm... and would 2, 2 come to be Q? @bradely

Answer 8

oh... math xD thanks @bradely that works

Answer 9

x= (3*4+1*2)/(3+1)=14/4 =7/2
x= (3*2+1*-1)/(3+1)=5/4

Answer 10

@bradely now I'm confused... can you explain please

Answer 11

it is a formula he is using and just plugging in numbers with, which works :P

Answer 12

Points are A (2, −1) and C (4, 2)
x1, y1 x2, y2
ratio m:n =3:1

Substitute the formula Q (x,y) = ((mx2+nx1)/(m+n),(my2+ny1)/(m+n)

Answer 13

and what would Q be then??? I'm sry, i dont understand @bradely

Answer 14

Q is the dividing point of A and C
Q has x and y coordinates
x is (mx2+nx1)/(m+n)
y is (my2+ny1)/(m+n)

Answer 15

oh okay @bradely thank you, now i understand