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anonymous

  • one year ago

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.

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  1. anonymous
    • one year ago
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    @jim_thompson5910

  2. jim_thompson5910
    • one year ago
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    |dw:1434595427880:dw|

  3. jim_thompson5910
    • one year ago
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    |dw:1434595479540:dw|

  4. jim_thompson5910
    • one year ago
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    |dw:1434595574638:dw|

  5. jim_thompson5910
    • one year ago
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    Draw in segments to form a right triangle |dw:1434595636414:dw|

  6. jim_thompson5910
    • one year ago
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    what is this distance here? |dw:1434595691088:dw|

  7. anonymous
    • one year ago
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    the distance there i think is 2

  8. jim_thompson5910
    • one year ago
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    yes

  9. jim_thompson5910
    • one year ago
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    what is this distance here? |dw:1434595871048:dw|

  10. jim_thompson5910
    • one year ago
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    any ideas?

  11. anonymous
    • one year ago
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    the distance there is 4

  12. jim_thompson5910
    • one year ago
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    no

  13. jim_thompson5910
    • one year ago
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    |dw:1434596145144:dw|

  14. jim_thompson5910
    • one year ago
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    are you still stuck?

  15. anonymous
    • one year ago
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    @jim_thompson5910 sorry i was away from my computer but i am alittle sorry

  16. jim_thompson5910
    • one year ago
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    thats ok

  17. anonymous
    • one year ago
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    oh so would the distance be 2 then @jim_thompson5910

  18. jim_thompson5910
    • one year ago
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    3 actually |dw:1434597964616:dw|

  19. jim_thompson5910
    • one year ago
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    y = -1 to y = 2 is 3 units

  20. anonymous
    • one year ago
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    oh ok i understand now (:

  21. jim_thompson5910
    • one year ago
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    |dw:1434598022998:dw|

  22. jim_thompson5910
    • one year ago
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    "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|

  23. anonymous
    • one year ago
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    oh ok so now i divide 2 by 3 right (:

  24. jim_thompson5910
    • one year ago
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    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|

  25. jim_thompson5910
    • one year ago
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    agreed?

  26. anonymous
    • one year ago
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    agreed

  27. jim_thompson5910
    • one year ago
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    since we want 3:1 ratio, we go 3 parts in the horizontal direction to land here |dw:1434598197534:dw|

  28. jim_thompson5910
    • one year ago
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    that is 3*0.5 = 1.5 units to the right of point A

  29. jim_thompson5910
    • one year ago
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    x coordinate of A is x = 2 add on 1.5 2+1.5 = 3.5

  30. jim_thompson5910
    • one year ago
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    |dw:1434598259483:dw|

  31. jim_thompson5910
    • one year ago
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    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|

  32. jim_thompson5910
    • one year ago
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    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|

  33. jim_thompson5910
    • one year ago
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    put the two together to form point Q |dw:1434598294297:dw|

  34. anonymous
    • one year ago
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    oh ok i add the numbers up and got 4.75 correct (:

  35. jim_thompson5910
    • one year ago
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    no they just want the coordinates of Q

  36. jim_thompson5910
    • one year ago
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    you don't add the coordinates of Q

  37. anonymous
    • one year ago
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    oh ok so should i divide

  38. jim_thompson5910
    • one year ago
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    the final answer they want is Q Q is the point (3.5, 1.25)

  39. jim_thompson5910
    • one year ago
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    of course you have to show how you get point Q

  40. anonymous
    • one year ago
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    oh ok i see what mean

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