Matematika

Pertanyaan

tolong ya no4 sama 5 ajaaa. pake cara secepatnya ya . terimakasih
tolong ya no4 sama 5 ajaaa. pake cara secepatnya ya . terimakasih

1 Jawaban

  • 4a) m = ( y2 - y1 ) / ( x2 - X1 )
    m = ( 7 - 4 ) / ( - 5 - 1 )
    m = 3 / - 6
    m = - ½
    subtitusi ke salah satu titik
    y - y1 = m ( x - X1 )
    y - 7 = - ½ ( x + 5 )
    y = - ½x - 5/2 + 7 ( dikali 2)
    2y = - x - 5 + 14
    2y + x = 9

    b) y - y1 = m ( x - X1 )
    y - 4 = ½ ( x - 1 )
    y = ½ x - ½ + 4 ( dikali 2)
    2y = x - 1 + 8
    2y - x = 7

    c) 2x - 5y = 0
    - 5y = - 2x
    m = - 2/-5
    m = 2/5
    gradien saling tegak lurus
    m1 . m2 = - 1
    2/5 . m2 = - 1
    m2 = - 5/2
    pers garis
    y - y1 = m ( x - X1 )
    y - 4 = - 5/2 ( x - 1)
    y = - 5/2 x + 5/2 + 4 ( dikali 2)
    2y = - 5x + 5 + 8
    2y + 5x = 13

    5) 4x - ay = 5
    - ay = - 4x + 5
    m = -4/-a
    m1 = 4/a
    3x + ( a + 1)y = 10
    (a + 1 )y = - 3x + 10
    m2 = - 3 / ( a + 1 )
    gradien saling tegak lurus
    m1 . m2 = - 1
    4/a . -3/(a + 1) = - 1
    4 ( - 3)
    ---------------- = - 1
    a ( a + 1 )

    - 12
    -------------- = - 1
    a² + a

    - 12 = - 1 ( a² + a )
    - 12 = - a² - a
    a² + a - 12 = 0
    ( a + 4)( a - 3) = 0
    a = - 4 atau a = 3
    yg memenuhi a = 3

    b) g1 ---> 4x - ay = 5 , 4x - 3y = 5
    g2----> 3x + (a + 1 )y = 10 , 3x + 4y = 10
    ttk potong
    4x - 3y = 5 |×4
    3x + 4y = 10 |×3
    maka
    16x - 12y = 20
    9x + 12y = 30
    ---------------------(+)
    25x = 50
    x = 2
    subtitusi
    4x - 3y = 5
    4(2) - 3y = 5
    8 - 3y = 5
    - 3y = 5 - 8
    - 3y = - 3
    y = 1
    ttk potong ( 2 , 1 )

    c) m = ( y2 - y1 ) / ( x² - X1 )
    m = ( 1 - 0) / ( 2 - 0)
    m = 1/2
    subtitusi ke salah satu titik
    y - y1 = m ( x - X1 )
    y - 1 = ½ ( x - 2 )
    y = ½ x - 1 + 1
    y = ½ x
    2y - x = 0