Matematika

Pertanyaan

bantu lagi yah semoga pahalanya berlipat ganda
bantu lagi yah semoga pahalanya berlipat ganda

1 Jawaban

  • 6. a. f(0) = 0-0+3 = 3
    b. f(10) = 100-40+3 = 63
    c. f(15) = 225-60+3 = 168

    7. 4x + 3y = -9 (dikali 1)
    2x - y = 13 (dikali 2)
    --------------
    4x + 3y = -9
    4x - 2y = 26
    -------------- -
    5y = -35
    y = -7
    2x + 7 = 13
    2x = 6, x = 3
    (x0, y0) = (3, -7)
    2x0 + 2y0 = 6 - 14 = -8

    8. -x² + 6x - 5 = 7 - 2x
    -x² + 8x - 12 = 0
    x² - 8x + 12 = 0
    (x - 6)(x - 2) = 0, ketemu x = 2 dan x = 6
    x = 2 → y = 7 - 4 = 3
    x = 6 → y = 7 - 12 = -5
    (x, y) = {(2, 3), (6, -5)}

    9. A - 7 = 6(B - 7) → A - 7 = 6B - 42
    A = 6B - 35
    2(A + 4) = 5(B + 4) + 9
    2A + 8 = 5B + 20 + 9 = 5B + 29
    2A = 5B + 21 = 12B - 70
    12B - 5B = 21 + 70
    7B = 91
    B = 13
    A = 6×13 - 35
    = 78 - 35 = 43 tahun

    10. sin A = 12/13 = depan/miring
    samping = √(169-144) = √25 = 5
    a. tan A = depan/samping = 12/5
    cos A = samping/miring = 5/13

    cos B = 24/26 = 12/13 = samping/miring
    depan = √(169-144) = √25 = 5
    b. sin B = depan/miring = 5/13
    tan B = depan/samping = 5/12