Matematika

Pertanyaan

Mohon bantuannya yg B.
Mohon bantuannya yg B.

1 Jawaban

  • jawab

    dilatasi 
    [P(a,b) ,k]
    x' = k(x - a) + a
    y' = k(y - b) + b

    4. 
    B(x,y) = (2, -4)
    P(a,b) = (a.b)
    k = -2
    B' (x'y') = (8 ,-1)

    x' = k(x -a) + a
    8 = -2(2 - a) + a
    8 = -4 + 2a + a
    12= 3a
    a= 4

    y' = k(y-b) + b
    -1 = -2(-4-b)+ b
    -1 = 8 + 2b + b
    -9 = 3b
    b= - 3

    P(a,b) = (4,- 3)

    5. 
    y = 3x - 4  dilatasi  [P(4,-3) , 4]

    x' = k (x - a) + a
    x' = 4 (x - 4) + 4
    x' = 4x - 12 → x = 1/4 (x' -12)

    y' = k(y-b) + b
    y' = 4(y+3) - 3
    y' = 4y + 9 →  y = 1/4 (y' -9)

    substitusi  
    y  = 3x - 4
    1/4 (y' -9) = 3(1/4)(x' -12)....kali 4
    y' - 9 = 3(x'-12)
    y' - 9 = 3x - 36
    y = 3x - 27