A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

What is the distance from the point (6,0) to the line y=3x+2?

  • This Question is Closed
  1. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    which distance you want? shortest most likly

  2. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the shortest distance is a perpendicular line....

  3. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so to find it, we need the line that is perp to this and the point they intersect

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Possible answers are 4, \[2\sqrt{10} , \sqrt{26} , and\ 3\sqrt{6}\] so I guess which ever equals one of those

  5. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the perp has a product of slopes that equals -1 3x = -1 x = -1/3 0 = -1/3(6) +b b = 2 y = (-1/3)x +2

  6. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    these lines meet at: 3x+2 = (-1/3)x +2 3x + 1/3x = 0 10/3x = 0 x = 0

  7. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    they appear to meet at the origin...

  8. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    they meet at (0,2) if anything lol

  9. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    id go with 4

  10. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Per distance formula is \[d= \frac{ \left| ax +by +c \right| }{ \sqrt{a^2 +b^2}}\]

  11. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    im prolly wrong since i guessed that lol

  12. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    y = 3x+2 ..... 0 = -6/3 +b 0 = -2 +b b = 2 y = (-1/3)x +2.... that seems to work out

  13. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    y= 3x+2 get into general form 3x - y + 2 =0 so this means that a=3 , b=-1 and c=2 in our formulas above, and (x,y) are the coordinates of the point ( 6,0) so x=6 , y=0

  14. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    d= (9 +2 ) / 2 = 4.5 units

  15. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wait thats wrong

  16. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    3x+2 = (-1/3)x +2 3x = -1/3x when x=0 right?

  17. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (0,2) (6,0) 36 + 4 = 40 = sqrt(40)

  18. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2sqrt(10)

  19. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    got it ;)

  20. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    d = \[\frac { \left| 3(6) + 0 + 2 \right|}{\sqrt{10} }\]

  21. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now your cooking with gas;)

  22. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    20/ sqrt (10)

  23. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wtf

  24. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    20sqrt(10) --------- 10

  25. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes I know

  26. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2 sqrt(10)

  27. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    need a calculator? :)

  28. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Very puzzling question lol

  29. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    just had to get the sleep of my ears to see what i was doin

  30. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well thank you

  31. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.