Matematika

Pertanyaan

ka tolongggg pleaseee bantuu no3 yg b no4 yg A no5
ka tolongggg pleaseee bantuu no3 yg b no4 yg A no5

1 Jawaban

  • 3b) y = - 3x + 4
    m = - 3
    syarat tegak lurus
    m1 . m2 = - 1
    - 3 . m2 = - 1
    m2 = ⅓
    pers garis
    y - y1 = m (x - x1)
    y + 2 = ⅓ (x - 6)
    y = ⅓ x - 2 - 2
    y = ⅓ x - 4

    4a) 4x + 2y - 3 = 0
    2y = - 4x + 3
    m = - 4/2
    m = - 2
    sejajar m1 = m2 = - 2
    mencari ttk potong :
    2x + 5y - 1 = 0
    2x + 5y = 1 ... pers 1
    x - 2y + 4 = 0
    x - 2y = - 4 ... pers 2
    maka pers1 & 2 dieliminasi atau subtitusi
    2x + 5y = 1
    x - 2y = - 4 |×2
    2x + 5y = 1
    2x - 4y = - 8
    ------------------(-)
    9y = 9
    y = 1
    subtitusi y = 1 ke pers x - 2y = - 4
    x - 2y = - 4
    x - 2(1) = - 4
    x - 2 = - 4
    x = - 4 + 2
    x = - 2
    jadi ttk potong = (-2 , 1)
    pers garis melalui ttk potong & m = - 2
    y - y1 = m (x - x1)
    y - 1 = - 2 (x + 2)
    y = - 2x - 4 + 1
    y = - 2x - 3
    y + 2x + 3 = 0

    5) x + 2y - 3 = 0
    2y = - x + 3
    m = - 1/2
    syarat tegak lurus
    m1 . m2 = - 1
    - ½ . m2 = - 1
    m2 = 2
    mencari titik potong
    x - 4y + 4 = 0
    x - 4y = - 4 ..... pers 1
    x + 3y - 10 = 0
    x + 3y = 10 ... pers 2
    pers 1 & 2 bisa dieliminasi atau subtitusi
    x - 4y = - 4
    x + 3y = 10
    -----------------(-)
    - 7y = - 14
    y = 2
    x - 4y = - 4
    x - 4(2) = - 4
    x - 8 = - 4
    x = - 4 + 8
    x = 4
    ttk potong = (4,2)
    pers garis melalui titik potong & m = 2
    y - y1 = m (x - x1)
    y - 2 = 2 (x - 4)
    y = 2x - 8 + 2
    y - 2x = - 6