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anonymous

  • one year ago

A line segment has endpoints A(4, 8) and B(2, 10). The point M is the midpoint of AB. What is an equation of a line perpendicular to AB and passing through M?

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  1. anonymous
    • one year ago
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    ok you need to find the slope of the line

  2. anonymous
    • one year ago
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    okay

  3. anonymous
    • one year ago
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    use this formula \[\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} } = m\]

  4. anonymous
    • one year ago
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    ok

  5. anonymous
    • one year ago
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    I got y=-x+4

  6. anonymous
    • one year ago
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    ok m is -1

  7. anonymous
    • one year ago
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    okay

  8. anonymous
    • one year ago
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    instead of 4 would it be

  9. anonymous
    • one year ago
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    y=-x+c

  10. anonymous
    • one year ago
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    plug in 1 of the point to the equation like this 8 = -1(4) +c Solve for c

  11. anonymous
    • one year ago
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    i got 3

  12. anonymous
    • one year ago
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    i got -4

  13. anonymous
    • one year ago
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    umm c should be 12 8 = -4 +12

  14. anonymous
    • one year ago
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    okay

  15. anonymous
    • one year ago
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    now we find the midpoint of this line with this formula \[(\frac{ x _{1}+x _{2} }{ 2 } , \frac{ y _{1}+y _{2} }{ 2 })\]

  16. anonymous
    • one year ago
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    okay

  17. anonymous
    • one year ago
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    your midpoint should be (3,9)

  18. anonymous
    • one year ago
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    okay

  19. anonymous
    • one year ago
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    a. y = x + 4 b. y = −x + 4 c. y = −x + 6 d. y = x + 6 this is what I have to chose from

  20. anonymous
    • one year ago
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    gradient of perpendicular line is \[m _{1}m _{1} = -1\] Since m1 is -1, we can assume m2 is 1

  21. anonymous
    • one year ago
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    okay

  22. anonymous
    • one year ago
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    so now we have y=x+c

  23. anonymous
    • one year ago
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    we plug in the points of the midpoint into the equation we get 9 = 3 + c

  24. anonymous
    • one year ago
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    it should be easy from here

  25. anonymous
    • one year ago
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    12

  26. anonymous
    • one year ago
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    umm no...look at it this way...3+ what number gives you 9?

  27. anonymous
    • one year ago
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    6

  28. anonymous
    • one year ago
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    yep so there you have it y=x+6

  29. anonymous
    • one year ago
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    N is the midpoint of segment MP. O is the midpoint of segment NP. Segment MP with midpoint N and O M is located at (7, 8), and P is located at (14, -3). What are the coordinates of O? Select one: a. (-8.75, 4.25) b. (24.50, -0.50) c. (5.25, 1.25) d. (12.25, -0.25)

  30. anonymous
    • one year ago
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    ok looks confusing but this is what they want|dw:1438267893606:dw|

  31. anonymous
    • one year ago
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    Find the midpoint of MP with the formula i gave you earlier

  32. anonymous
    • one year ago
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    okay

  33. anonymous
    • one year ago
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    would it b C?

  34. anonymous
    • one year ago
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    I meant to say would it be C

  35. anonymous
    • one year ago
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    It's D

  36. anonymous
    • one year ago
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    you want the solution?

  37. anonymous
    • one year ago
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    yes

  38. anonymous
    • one year ago
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    OK midpoint of MP is \[(\frac{ 7+14 }{ 2 },\frac{ 8+(-3) }{ 2 }) = (10.5, 2.5)\]

  39. anonymous
    • one year ago
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    okay

  40. anonymous
    • one year ago
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    N = (10.5,2.5), O is the midpoint of NP so \[(\frac{ 10.5+14 }{ 2 }, \frac{ 2.5+(-3) }{ 2 }) = (12.25,-0.25)\]

  41. anonymous
    • one year ago
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    okay

  42. anonymous
    • one year ago
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    A triangle has vertices at (4, 5), (4, -4), and (-4, -3). What is the approximate perimeter of the triangle? Select one: a. 27 b. 29 c. 28 d. 30 I got c for this on I just wanted to make sure if it was right or wrong

  43. anonymous
    • one year ago
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    ok you need to find distance between the points with this formula \[\sqrt{(x _{2}-x _{1})+(y _{2}-y _{1})}\]

  44. anonymous
    • one year ago
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    okay

  45. anonymous
    • one year ago
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    so would I input which ever number to find the answer

  46. anonymous
    • one year ago
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    no you need to get 2 points and put it into the formula to get the distance of 1 side of the triangle

  47. anonymous
    • one year ago
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    okay

  48. anonymous
    • one year ago
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    would be easier if you label it like A = (4,5) B = (4,-4) C =(-4,-3)

  49. anonymous
    • one year ago
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    yes

  50. anonymous
    • one year ago
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    Find the distance of AB and AC and BC then add them up

  51. anonymous
    • one year ago
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    25?

  52. anonymous
    • one year ago
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    lemme try

  53. anonymous
    • one year ago
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    okay

  54. anonymous
    • one year ago
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    I got 27

  55. anonymous
    • one year ago
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    its C

  56. anonymous
    • one year ago
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    okay

  57. anonymous
    • one year ago
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    ill give you the distance you try and work it out AB = 9 AC = 11.31 BC = 8.06

  58. anonymous
    • one year ago
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    I got 28 as well :D

  59. anonymous
    • one year ago
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    i mean use the formula and try to see if you get the same distance

  60. anonymous
    • one year ago
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    okay

  61. anonymous
    • one year ago
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    yes

  62. anonymous
    • one year ago
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    The volume of a sphere is 63089.813626667 cubic inches. What is the approximate diameter of this sphere? (Volume of a sphere = \frac{4}{3}\pi {r^3}) Select one: a. 5023.1 in b. 203.4 in c. 49.4 in d. 24.7 in I got b for this and I worked it out but I'm still not sure

  63. anonymous
    • one year ago
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    \[63089.813626667 = \frac{ 4 }{ 3 } \pi r^3\] \[63089.813626667(\frac{ 3 }{ 4 }) = \pi r^3\] \[47317.36022 = \pi r^3\]

  64. anonymous
    • one year ago
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    okay

  65. anonymous
    • one year ago
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    \[\frac{ 47317.36022 }{ \pi } = 15061.58355 = r^3\] \[\sqrt[3]{15061.58355} = 24.69582535 = r\] \[dia. = 2r =24.69582535\times2 =49.39165069\]

  66. anonymous
    • one year ago
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    so it's C

  67. anonymous
    • one year ago
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    dayum sneaky teacher putting radius as an option

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