anonymous
  • 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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
|dw:1434595427880:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1434595479540:dw|

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More answers

jim_thompson5910
  • jim_thompson5910
|dw:1434595574638:dw|
jim_thompson5910
  • jim_thompson5910
Draw in segments to form a right triangle |dw:1434595636414:dw|
jim_thompson5910
  • jim_thompson5910
what is this distance here? |dw:1434595691088:dw|
anonymous
  • anonymous
the distance there i think is 2
jim_thompson5910
  • jim_thompson5910
yes
jim_thompson5910
  • jim_thompson5910
what is this distance here? |dw:1434595871048:dw|
jim_thompson5910
  • jim_thompson5910
any ideas?
anonymous
  • anonymous
the distance there is 4
jim_thompson5910
  • jim_thompson5910
no
jim_thompson5910
  • jim_thompson5910
|dw:1434596145144:dw|
jim_thompson5910
  • jim_thompson5910
are you still stuck?
anonymous
  • anonymous
@jim_thompson5910 sorry i was away from my computer but i am alittle sorry
jim_thompson5910
  • jim_thompson5910
thats ok
anonymous
  • anonymous
oh so would the distance be 2 then @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
3 actually |dw:1434597964616:dw|
jim_thompson5910
  • jim_thompson5910
y = -1 to y = 2 is 3 units
anonymous
  • anonymous
oh ok i understand now (:
jim_thompson5910
  • jim_thompson5910
|dw:1434598022998:dw|
jim_thompson5910
  • 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
  • anonymous
oh ok so now i divide 2 by 3 right (:
jim_thompson5910
  • 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
  • jim_thompson5910
agreed?
anonymous
  • anonymous
agreed
jim_thompson5910
  • jim_thompson5910
since we want 3:1 ratio, we go 3 parts in the horizontal direction to land here |dw:1434598197534:dw|
jim_thompson5910
  • jim_thompson5910
that is 3*0.5 = 1.5 units to the right of point A
jim_thompson5910
  • jim_thompson5910
x coordinate of A is x = 2 add on 1.5 2+1.5 = 3.5
jim_thompson5910
  • jim_thompson5910
|dw:1434598259483:dw|
jim_thompson5910
  • 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
  • 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
  • jim_thompson5910
put the two together to form point Q |dw:1434598294297:dw|
anonymous
  • anonymous
oh ok i add the numbers up and got 4.75 correct (:
jim_thompson5910
  • jim_thompson5910
no they just want the coordinates of Q
jim_thompson5910
  • jim_thompson5910
you don't add the coordinates of Q
anonymous
  • anonymous
oh ok so should i divide
jim_thompson5910
  • jim_thompson5910
the final answer they want is Q Q is the point (3.5, 1.25)
jim_thompson5910
  • jim_thompson5910
of course you have to show how you get point Q
anonymous
  • anonymous
oh ok i see what mean

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