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toxicsugar22

  • 5 years ago

sketch the triangle with vertics A(-5,12), B(4,-2) and C(1,-6) Find the slope of the side AC. Find the slope of the altitude form point B to side AC fIND an equation for the line that includes the altitude from point B to side AC

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  1. anonymous
    • 5 years ago
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    Do you recall the formula for the slope of a line given 2 points on the line?

  2. toxicsugar22
    • 5 years ago
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    yes

  3. anonymous
    • 5 years ago
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    So use it to find the slope of the side AC.

  4. anonymous
    • 5 years ago
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    Once you have that you can find the perpendicular slope by taking the negative reciprocal

  5. anonymous
    • 5 years ago
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    which is the slope of the altitude from B to the side AC. Then with that slope you can write the equation of the line with that slope that intersects B.

  6. toxicsugar22
    • 5 years ago
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    im guessing -3

  7. toxicsugar22
    • 5 years ago
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    is that right

  8. anonymous
    • 5 years ago
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    -3 is the slope of AC

  9. toxicsugar22
    • 5 years ago
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    ok

  10. anonymous
    • 5 years ago
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    So what is the slope perpendicular to that?

  11. toxicsugar22
    • 5 years ago
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    so what would be the equatin

  12. toxicsugar22
    • 5 years ago
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    1/-3

  13. toxicsugar22
    • 5 years ago
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    right

  14. anonymous
    • 5 years ago
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    No, negative reciprocal is perpendicular.

  15. anonymous
    • 5 years ago
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    so 1/3

  16. anonymous
    • 5 years ago
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    So now, you have a point B and the slope. Do you know the formula for the equation of the line given a point and a slope?

  17. toxicsugar22
    • 5 years ago
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    y=1/3x+2

  18. toxicsugar22
    • 5 years ago
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    is that right

  19. toxicsugar22
    • 5 years ago
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    is thais right

  20. anonymous
    • 5 years ago
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    I don't think so. It should be \(y+2 = \frac{1}{3}(x-4)\)

  21. toxicsugar22
    • 5 years ago
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    i think we put it in slope intecept form

  22. anonymous
    • 5 years ago
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    sure, but I don't think if you do you'll get the answer you had before

  23. toxicsugar22
    • 5 years ago
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    ok

  24. toxicsugar22
    • 5 years ago
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    vut can u help me get me put that in slope inetcept form

  25. anonymous
    • 5 years ago
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    Well start by distributing the 1/3, then subtract 2 from both sides

  26. toxicsugar22
    • 5 years ago
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    y+2=1/3(x-4) can u help me put tis in slpo intecept orm

  27. toxicsugar22
    • 5 years ago
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    can u help me

  28. anonymous
    • 5 years ago
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    did you distribute the 1/3?

  29. toxicsugar22
    • 5 years ago
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    how do u do -4/3-2

  30. anonymous
    • 5 years ago
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    convert -2 into an improper fraction (with a 3 in the denominator)

  31. toxicsugar22
    • 5 years ago
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    i got y+2=1/3x-4/3

  32. toxicsugar22
    • 5 years ago
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    is that right then i subract 2 from both sides

  33. anonymous
    • 5 years ago
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    yes

  34. toxicsugar22
    • 5 years ago
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    then i get y=1/3x-3.3

  35. toxicsugar22
    • 5 years ago
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    is this write

  36. anonymous
    • 5 years ago
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    -3.33333 = -10/3

  37. toxicsugar22
    • 5 years ago
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    thanks you so much

  38. toxicsugar22
    • 5 years ago
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    The center of a circle is the point C(2,4), and P(-1,6) is a point on the circle. Find the equation of the line tangent to the circle at the point P.

  39. toxicsugar22
    • 5 years ago
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    can u help with this

  40. anonymous
    • 5 years ago
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    umm.. it's pretty nearly the same problem, just with different numbers

  41. toxicsugar22
    • 5 years ago
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    ok

  42. toxicsugar22
    • 5 years ago
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    but can u help me

  43. anonymous
    • 5 years ago
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    draw the picture of what they're describing, and recall what we did in this last problem and see if you can figure out how the problems are similar.

  44. toxicsugar22
    • 5 years ago
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    i tried please can u help me

  45. anonymous
    • 5 years ago
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    what did you try?

  46. toxicsugar22
    • 5 years ago
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    i tried doing it but idid not get it

  47. toxicsugar22
    • 5 years ago
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    doing the pomble

  48. toxicsugar22
    • 5 years ago
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    can u help me

  49. anonymous
    • 5 years ago
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    what did you _do_ when you tried?

  50. toxicsugar22
    • 5 years ago
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    idid (2,4) and (- 1and 6) and added the x and y

  51. toxicsugar22
    • 5 years ago
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    please can u help, I will be greatful to you

  52. anonymous
    • 5 years ago
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    what were you trying to find when you did that?

  53. toxicsugar22
    • 5 years ago
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    idk i thought that was how u do that

  54. anonymous
    • 5 years ago
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    do what?

  55. toxicsugar22
    • 5 years ago
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    the question

  56. anonymous
    • 5 years ago
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    Are you trying to find something?

  57. toxicsugar22
    • 5 years ago
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    yes the equation

  58. anonymous
    • 5 years ago
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    the equation of what?

  59. toxicsugar22
    • 5 years ago
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    The center of a circle is the point C(2,4), and P(-1,6) is a point on the circle. Find the equation of the line tangent to the circle at the point P

  60. anonymous
    • 5 years ago
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    I know what the problem says, I'm asking you what you think. You do think right? ;)

  61. toxicsugar22
    • 5 years ago
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    i am finding it difficult please can u help me

  62. anonymous
    • 5 years ago
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    What are you trying to find here?

  63. toxicsugar22
    • 5 years ago
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    the equation i guess

  64. anonymous
    • 5 years ago
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    The equation of what?

  65. toxicsugar22
    • 5 years ago
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    the slope

  66. toxicsugar22
    • 5 years ago
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    the slope

  67. anonymous
    • 5 years ago
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    "Find the equation of the line tangent to the circle at the point P"

  68. anonymous
    • 5 years ago
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    What does that sentence mean?

  69. toxicsugar22
    • 5 years ago
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    i think it means that the line is touching line p

  70. toxicsugar22
    • 5 years ago
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    is that right

  71. toxicsugar22
    • 5 years ago
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    is this righ t

  72. anonymous
    • 5 years ago
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    The line is touching the point P that's on the circle, but what else do you know about it?

  73. toxicsugar22
    • 5 years ago
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    idk

  74. anonymous
    • 5 years ago
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    well, specifically how does it relate to the radius of the circle through the point P?

  75. toxicsugar22
    • 5 years ago
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    is the slope -3/2

  76. toxicsugar22
    • 5 years ago
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    is it right

  77. anonymous
    • 5 years ago
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    that is the slope of the radius (line between the center and P). The trick is to realize that the slope of the tangent will be perpendicular to the radius.

  78. toxicsugar22
    • 5 years ago
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    so it will be 2/3

  79. toxicsugar22
    • 5 years ago
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    is that right

  80. anonymous
    • 5 years ago
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    that is the slope. now use the point p to find the equation like we did before

  81. toxicsugar22
    • 5 years ago
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    so we do (-1,-6)

  82. toxicsugar22
    • 5 years ago
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    so it would be y+6=2/3(x+1)

  83. toxicsugar22
    • 5 years ago
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    is that right

  84. anonymous
    • 5 years ago
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    I thought P was (-1,6), so it would be y-6 = 2/3(x+1)

  85. toxicsugar22
    • 5 years ago
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    oh yeah sorry your right

  86. toxicsugar22
    • 5 years ago
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    if i put it in slope intecept orm it would be y=2/3x+6.67

  87. toxicsugar22
    • 5 years ago
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    is this right

  88. anonymous
    • 5 years ago
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    yeah

  89. toxicsugar22
    • 5 years ago
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    but is the 6.67 right or can i put it in a fraction

  90. anonymous
    • 5 years ago
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    you can make it a fraction

  91. toxicsugar22
    • 5 years ago
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    how can u show me

  92. anonymous
    • 5 years ago
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    How many 3rds are there in 6 wholes?

  93. toxicsugar22
    • 5 years ago
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    so id it 20/3

  94. toxicsugar22
    • 5 years ago
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    wait i think we messed up it would be y+6=2/3(X-1)

  95. toxicsugar22
    • 5 years ago
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    i think that is right

  96. toxicsugar22
    • 5 years ago
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    i think that is right

  97. anonymous
    • 5 years ago
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    If the point P is (-1,6) then the equation would be y-6=2/3(x+1) The formula for point-slope is: \[y-y_1 = m(x-x_1)\] Where \(x_1,y_1\) are the x,y values of your point

  98. toxicsugar22
    • 5 years ago
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    so would it be y=2/3x+3/20

  99. anonymous
    • 5 years ago
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    no

  100. anonymous
    • 5 years ago
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    I can tell because the 3/20 is less than 1, but we added 6 to both sides, so it should be bigger than 1

  101. toxicsugar22
    • 5 years ago
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    y=2/3x+20/3

  102. anonymous
    • 5 years ago
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    yes

  103. toxicsugar22
    • 5 years ago
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    thanks

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