- anonymous

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 to receive credit.

- schrodinger

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- anonymous

- jim_thompson5910

|dw:1434595427880:dw|

- jim_thompson5910

|dw:1434595479540:dw|

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## More answers

- jim_thompson5910

|dw:1434595574638:dw|

- jim_thompson5910

Draw in segments to form a right triangle
|dw:1434595636414:dw|

- jim_thompson5910

what is this distance here?
|dw:1434595691088:dw|

- anonymous

the distance there i think is 2

- jim_thompson5910

yes

- jim_thompson5910

what is this distance here?
|dw:1434595871048:dw|

- jim_thompson5910

any ideas?

- anonymous

the distance there is 4

- jim_thompson5910

no

- jim_thompson5910

|dw:1434596145144:dw|

- jim_thompson5910

are you still stuck?

- anonymous

@jim_thompson5910 sorry i was away from my computer but i am alittle sorry

- jim_thompson5910

thats ok

- anonymous

oh so would the distance be 2 then @jim_thompson5910

- jim_thompson5910

3 actually
|dw:1434597964616:dw|

- jim_thompson5910

y = -1 to y = 2 is 3 units

- anonymous

oh ok i understand now (:

- jim_thompson5910

|dw:1434598022998:dw|

- jim_thompson5910

"segment in a 3:1 ratio" means we have 3+1 = 4 parts total
so cut vertical and horizontal segments into 4 equal parts
|dw:1434598057496:dw|

- anonymous

oh ok so now i divide 2 by 3 right (:

- jim_thompson5910

the horizontal length 2 gets cut into 4 equal parts
2/4 = 1/2 = 0.5
so each little piece along the horizontal portion is 0.5 units long
|dw:1434598108224:dw|

- jim_thompson5910

agreed?

- anonymous

agreed

- jim_thompson5910

since we want 3:1 ratio, we go 3 parts in the horizontal direction to land here
|dw:1434598197534:dw|

- jim_thompson5910

that is 3*0.5 = 1.5 units to the right of point A

- jim_thompson5910

x coordinate of A is x = 2
add on 1.5
2+1.5 = 3.5

- jim_thompson5910

|dw:1434598259483:dw|

- jim_thompson5910

we'll do the same for the vertical component
the vertical component is 3 units high
cut that into 4 parts
3/4 = 0.75
each vertical tiny piece is 0.75 units
|dw:1434598214545:dw|

- jim_thompson5910

and we go up 3 units
3*0.75 = 2.25
add 2.25 to the y coordinate of A
-1+2.25 = 1.25
so y = 1.25
|dw:1434598278518:dw|

- jim_thompson5910

put the two together to form point Q
|dw:1434598294297:dw|

- anonymous

oh ok i add the numbers up and got 4.75 correct (:

- jim_thompson5910

no they just want the coordinates of Q

- jim_thompson5910

you don't add the coordinates of Q

- anonymous

oh ok so should i divide

- jim_thompson5910

the final answer they want is Q
Q is the point (3.5, 1.25)

- jim_thompson5910

of course you have to show how you get point Q

- anonymous

oh ok i see what mean

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