Matematika

Pertanyaan

tentukan bayangan garis 3x - 2y + 5 = 0 oleh translasi T [-1/3]

1 Jawaban

  • [tex]3x-2y+5=0 -\ \textgreater \ translasi \left[\begin{array}{ccc}-1\\3\end{array}\right] -\ \textgreater \ \left[\begin{array}{ccc}x',y'\end{array}\right] [/tex]
    [tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = T + \left[\begin{array}{ccc}x\\y\end{array}\right] [/tex]
    [tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}-1\\3\end{array}\right] + \left[\begin{array}{ccc}x\\y\end{array}\right] [/tex]
    [tex]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}x'+1\\y'-3\end{array}\right] [/tex]
    [tex]3x-2y+5=0[/tex]
    [tex]3(x'+1)-2(y-3)+5=0[/tex]
    [tex]3x'+3-2y'+6+5=0[/tex]
    [tex]3x'-2y'+14=0[/tex]

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