Matematika

Pertanyaan

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2 Jawaban

  • Bab Persamaan Garis dan Bangun Datar
    Matematika SMP Kelas VIII

    19] 2x + 5y = 11 → dikali 3 menjadi 6x + 15y = 33
          3x - 2y = -12 → dikali 2 menjadi 6x - 4y  = -24
                                                             ------------------- -
                                                                       19y = 57
                                                                           y = 3
    2x + 5y = 11
    2x + 5 . 3 = 11
    2x = 11 - 15
    x = -4/2
    x = -2

    2x + 2y = 2 . (-2) + 2 . 3 = -4 + 6 = 2

    jawabannya A

    QR = √(30² - (32 - 14)²)
    QR = √(900 - 324)
    QR = √576
    QR = 24 cm

    jawabannya C
  • Mapel : Matematika
    Kelas : VIII SMP
    Bab : SPLDV

    Pembahasan :
    19||

    2x + 5y = 11 ——» x = (11 - 5y)/2
    3x - 2y = -12

    Substitusi...
    3x - 2y = -12
    3(11 - 5y)/2 - 2y = -12
    (33 - 15y)/2 - 2y = -12
    33 - 15y - 4y = -24
    33 + 24 = 19y
    19y = 57
    y = 3

    Substitusi...
    x = (11 - 5y)/2
    x = (11 - 5.3))/2
    x = (11 - 15)/2
    x = -4/2
    x = -2

    Maka...
    2x + 2y
    = 2(-2) + 2(3)
    = -4 + 6
    = 2

    20||

    Pakai Teorema Pythagoras
    QR² = PS² - (32 - 14)²
    QR² = 30² - 18²
    QR² = 900 - 324
    QR² = 576
    QR = √576
    QR = 24 cm