Matematika

Pertanyaan

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2 Jawaban

  • 9) (6a - 3b + 2c) + ( - 10a + 5b - 8c )
    = 6a - 10a - 3b + 5b + 2c - 8c
    = - 4a + 2b - 6c ( C )

    10) ( 16m + 3n ) - ( 2m - 10n)
    = 16m - 2m + 3n + 10n
    = 14m + 13n ( A )

    11) 2(x + 3y ) - 4(2x - y )
    = 2x + 6y - 8x + 4y
    = - 6x + 10y ( B )

    12) 4p³q² × 6p²r³
    = 24p^5q²r³ ( D )

    13) ( 2c + 3 )( 2c - 3)
    = 4c² + 6c - 6c - 9
    = 4c² - 9 ( A )

    14) 64p^5q²r⁴
    ----------------------
    16pqr

    = ( 16pqr )( 4p⁴qr³ )
    -----------------------------
    16pqr

    = 4p⁴qr³ ( D )


    16) 5 + 3(2x + 1) = 3x - 2
    5 + 6x + 3 = 3x - 2
    6x + 8 = 3x - 2
    6x - 3x = - 2 - 8
    3x = - 10
    x = - 10/3
    tdk ad opsi pilihan

    18) 2 ( 3x + 2) >_ 4 ( 2x + 5 )
    6x + 4 >_ 8x + 20
    6x - 8x >_ 20 - 4
    - 2x >_ 16
    x <_ -8 ( C )

    19) K = ( 3x + 2) + ( 5x - 1) + ( x + 12)
    40 = 9x + 13
    40 - 13 = 9x
    27 = 9x
    x = 3
    sisi 1 = 3x + 2 = 3(3) + 2 = 11
    sisi 2 = 5x - 1 = 5(3) - 1 = 14
    sisi 3 = x + 12 = 3 + 12 = 15
    jadi sisi terpanjang = 15 cm ( D )
  • 9)
    6a - 3b + 2c - 10a + 5b - 8c
    = -4a + 2b - 6c (C)

    10)
    16m + 3n - 2m + 10n
    = 14m + 13n (A)

    11)
    2(x + 3y) - 4(2x - y)
    = 2x + 6y - 8x + 4y
    = -6x + 10y (B)

    12)
    4p^3 q^2 × 6p^2 r^3
    = 24p^5 q^2 r^3 (B)

    13)
    (2c + 3)(2c - 3)
    = 4c^2 - 9 (A)

    14)
    64p^5 q^2 r^4 : 16pqr
    = 4p^4 qr^3 (D)

    16)
    5 + 3(2x + 1) = 3x - 2
    => 5 + 6x + 3 = 3x - 2
    => 6x + 8 = 3x - 2
    => 6x - 3x = -2 - 8
    => 3x = -10
    => x = -10/3
    => x = -3 1/3 (pilihan tdk ada)

    18)
    2(3x + 2) _> 4(2x + 5)
    => 6x + 4 _> 8x + 20
    => 6x - 8x _> 20 - 4
    => -2x _> 16
    => x <_ 16/-2
    => x <_ -8 (C)

    19)
    s1 = (3x + 2) cm
    s2 = (5x - 1) cm
    s3 = (x + 12) cm
    K = 40 cm

    K = s1 + s2 + s3
    40 = (3x+2) + (5x-1) + (x+12)
    40 = 9x + 13
    9x = 40 - 13
    9x = 27
    x = 27/9
    x = 3

    s1 = (3x + 2) = 3(3)+2 = 9+2 = 11
    s2 = (5x - 1) = 5(3)-1 = 15-1 = 14
    s3 = (x + 12) = 3+12 = 15

    Ukuran sisi yang terpanjang adalah 15 (D)