Matematika

Pertanyaan

No 1-5 tolong kasih tau jawaban sama penjelasannya. Tolonggggg yaaaaa!
No 1-5 tolong kasih tau jawaban sama penjelasannya. Tolonggggg yaaaaa!

1 Jawaban

  • 1) 4A + B = 6.000 |x2| 8A + 2B = 12.000
    ........................................ 5A + 2B = 9.000
    -------------------------------------------------------- --
    ......................................... 3A = 3.000 => A = 1.000
    4A + B = 6.000 => 4(1.000) + B = 6.000 => B = 2.000
    11A + 16B = 11(1.000) + 16(2.000) = 11.000 + 32.000 = 43.000

    2) y = 8x + 4, y = x^2 + 6x + 5
    y = y
    x^2 + 6x + 5 = 8x + 4
    x^2 - 2x + 1 = 0
    (x - 1)(x - 1) = 0
    x = 1
    y = 8x + 4 => y = 8(1) + 4 => y = 12
    HP = {(1, 12)}

    3) (2 ... x) (y ... 0) = (8 ... x)
    .... (-1 .. 2) (2 ... 1) ... (6 .. 2)

    (2y + 2x ... 0 + x) = (8 ... x)
    (-y + 4 ...... 0 + 2) ... (6 .. 2)

    -y + 4 = 6 => -y = 2 => y = -2

    2y + 2x = 8
    2(-2) + 2x = 8
    2x = 12
    x = 6
    x - y = 6 - (-2) = 8

    4) (xp,yp) = (5, 2) dan (x, y) = (3, 6)
    y = a(x - xp)^2 + yp
    6 = a(3 - 5)^2 + 2
    6 - 2 = a(-2)^2
    4 = 4a
    a = 1
    y = a(x - xp)^2 + yp
    y = 1(x - 5)^2 + 2
    y = x^2 - 10x + 27
    f(x) = x^2 - 10x + 27

    5) tinggi pemburu = 150 cm = 1,5 m
    Tinggi pohon = 11,5 m
    Sisi depan (de) = 11,5 - 1,5 = 10
    Jarak pemburu dan pohon = sisi samping = sa = x ?????
    Tan 30° = de/sa
    √3/3 = 10/x
    √3 x = 30
    x = 30/√3 . √3/√3 = (30√3)/3 = 10√3 m