Matematika

Pertanyaan

Garis 2x+y=3 ditranslasikan olehT=(2,1) kemudian dirotasikan R(O,90)

1 Jawaban

  • Garis 2x + y = 3
    T(2,1)
    x' = 2 + x
    y'= 1 + y

    Rotasi (O,90 )
    x" = -y' = - (1+y) = -y - 1
    y = -1 - x" ..(i)

    y" = x' = 2 + x → x = y" - 2 ..(ii)

    (i) ,(ii) substitusi ke  garis  2x + y = 3
    2(y" - 2) + (-1 -x") = 3
    2y - 4 - 1 - x = 3
    2y - x - 5 = 3
    2y - x = 8
    x - 2y = -8

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