Matematika

Pertanyaan

No 12 bantuin kak pake cara terima kasih...please ya kak bantu jawab^^
No 12 bantuin kak pake cara terima kasih...please ya kak bantu jawab^^

1 Jawaban

  • x + 4y - 3 = 0 => m = -a/b = -1/4 karena tegak lurus maka m = 4/1 = 4

    y = 2x^2 + 3x - 10
    y' = 4x + 3

    y' = m
    4x + 3 = 4
    4x = 1
    x = 1/4

    y = 2x^2 + 3x - 10
    y = 2(1/4)^2 + 3(1/4) - 10
    y = 2/16 + 3/4 - 10
    y = 1/8 + 6/8 - 80/8
    y = -73/8

    Persamaan garis singgung melalui (1/4, -73/8) dengan m = 4
    y - y1 = m(x - x1)
    y - (-73/8) = 4(x - 1/4)
    y + 73/8 = 4x - 1 ====> kali 8
    8y + 73 = 32x - 8
    -32x + 8y + 81 = 0
    32x - 8y - 81 = 0