Matematika

Pertanyaan

tolong kerjakan nomer 2,3,4,5,8
mohon
tolong kerjakan nomer 2,3,4,5,8 mohon
tolong kerjakan nomer 2,3,4,5,8 mohon
tolong kerjakan nomer 2,3,4,5,8 mohon

1 Jawaban

  • 2. kemiringannya = (4 -(-13) / ( 15 -(-6)
                   = (4+13) / (15+6)
                   = 17 / 21
    3a.  kemiringan = (3-(-5)) / ( 4 -(-2)
                   = 8 / 6
                   = 4/3
     b. kemiringan = (-3-(-1) / (7 -(-1)
                     = -2 / 8
                     = -1/4
    4a. y +4 = 3(x-0)
       y + 4 = 3x
       y = 3x - 4
     b. y - 2 = 1 1/2(x-1)
      y - 2 = 3/2 (x - 1)
      y -2 = 3/2 x - 3/2
      y = 3/2 x + 1/2
    2y = 3x + 1
    c. y - 1 = 4(x+2)
      y - 1 = 4x + 8
      y = 4x + 9
    d. (y -(-1) / (4 -(-1) = (x - 2)/(1-2)
      (y + 1) /5 = (x -2) / -1
      - y - 1 = 5x -10
      5x + y - 9 = 0
    e. (y-0)/(-8-0) = (x +1)/ (3+1)
      y / -8 = (x+1) / 4
    4y = -8x -8
     y = -2x - 2
    y + 2x + 2 = 0

    5a. gradien PQ = (2-0)/(0-5)
       = 2/-5
      = -2/5
    garis l adalah
    y - 4 = -2/5(x-3)
    y - 4 = -2/5 x + 6/5
    y = -2/5 x  + 26/5
    5y = -2x + 26
    b(i).  y - 4 = 2(x -3)
    y -4 = 2x -6
    y = 2x - 2
    (ii) koordinat S dengan memotong sumbu y (x=0)
    y = 2(0) - 2
    y = -2
    titik S (0, -2)

    8. a garis l
    (y - 3) / (5-3) = (x +1)/(0+1)
    (y-3) / 2 = (x+1) / 1
    y - 3 -= 2x +2
    y = 2x +5
    b. garis k
    (y - 3) / (2-3) = (x +1) / (0 + 1)
     (y-3) / -1 = (x+1) / 1
    y - 3 = -x -1
    y = -x +2