Matematika

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Uji kompetensi A. Pilihlah jawaban yang benar di antara huruf A,B,C, dan D! No 1-10
Uji kompetensi A. Pilihlah jawaban yang benar di antara huruf A,B,C, dan D! No 1-10

1 Jawaban

  • 1) ax + by + c = 0
    2x + 4y - 7 = 0 ( B )

    2) y = 2x - 1
    ttk yg terletak (2,3) ( C )
    pembuktian
    x = 2 ----> y = 2(2) - 1 = 4 - 1 = 3

    3) (x1,y1) = ( 0,0)
    (x2,y2) = ( 2,2)
    m = ( y2 - y1 ) / ( x2 - x1 )
    m = ( 2 - 0) / ( 2 - 0)
    m = 2/2
    m = 1 ( A )

    4) m = ( y2 - y1 ) / ( x2 - x1 )
    m = ( 4 - 0) / ( 2 - 0)
    m = 4/2
    m = 2 ( A )

    5) m = ( y2 - y1) / ( x2 - x1 )
    m = ( 5 - 2) / ( 3 - 0)
    m = 3/3
    m = 1 ( D )

    6) - 4x + 2y + 6 = 0
    2y = 4x - 6
    m = x/y
    m = 4/2
    m = 2 ( D)

    7) 2x = y + 5
    y = 2x - 5
    m = 2
    sejajar m1 = m2 = 2
    pers garis
    y - y1 = m ( x - x1 )
    y - 3 = 2 ( x - 4)
    y = 2x - 8 + 3
    y = 2x - 5 ( D )

    8) ( y - y1 ) / ( y2 - y1 ) = ( x - x1 ) / ( x2 - x1)
    ( y - 4) / ( 5 - 4 ) = ( x - 3) / ( 2 - 3)
    ( y - 4) / 1 = ( x - 3) / -1
    - 1 ( y - 4) = 1 ( x - 3)
    - y + 4 = x - 3
    - y = x - 3 - 4
    - y = x - 7
    - x - y + 7 = 0
    x + y - 7 = 0 ( C )

    9) 3y = 2x + 27
    m = ⅔
    gradien tegak lurus
    m1 . m2 = - 1
    ⅔ . m2 = - 1
    m2 = - 1 ÷ ⅔
    m2 = - 3/2
    pers garis
    y - y1 = m ( x - x1)
    y + 3 = - 3/2 ( x + 2)
    y = - 3/2 x - 3 - 3
    y = - 3/2 x - 6 ( dikali 2)
    2y = - 3x - 12
    2y + 3x + 12 = 0
    3x + 2y + 12 = 0 ( B)

    10) x - y = 2
    x + y = 4
    ------------------(-)
    - 2y = - 2
    y = 1
    • x - y = 2
    x + y = 4
    ---------------(+)
    2x = 6
    x = 3
    hp ( 3,1 ) ( A )