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Pertanyaan

Hasil rotasi garis x - 3y + 2 = 0 oleh [P, 180°] dengan P(1, -2) adalah …

Hasil rotasi garis x - 3y + 2 = 0 oleh [P, 180°] dengan P(1, -2) adalah …

  1. x + 3y + 8 = 0

  2. x - 3y + 8 = 0

  3. x + 3y - 16 = 0

  4. x - 3y + 16 = 0

  5. x - 3y - 16 = 0

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Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

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Pembahasan

Substitusikan ke persamaan garis x - 3y + 2 = 0, maka :

begin mathsize 14px style open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell cos invisible function application alpha end cell cell negative sin invisible function application alpha end cell row cell sin invisible function application alpha end cell cell cos invisible function application alpha end cell end table close parentheses open parentheses table row cell x minus a end cell row cell y minus b end cell end table close parentheses plus open parentheses table row a row b end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell negative 1 end cell 0 row 0 cell negative 1 end cell end table close parentheses open parentheses table row cell x minus 1 end cell row cell y plus 2 end cell end table close parentheses plus open parentheses table row 1 row cell negative 2 end cell end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell negative x plus 1 end cell row cell negative y minus 2 end cell end table close parentheses plus open parentheses table row 1 row cell negative 2 end cell end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell negative x plus 2 end cell row cell negative y minus 4 end cell end table close parentheses  x to the power of apostrophe equals negative x plus 2 x equals negative x to the power of apostrophe plus 2  y to the power of apostrophe equals negative y minus 4 y equals negative y to the power of apostrophe minus 4 end style

Substitusikan ke persamaan garis x - 3y + 2 = 0, maka :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell negative x to the power of apostrophe plus 2 minus 3 left parenthesis negative y to the power of apostrophe minus 4 right parenthesis plus 2 end cell equals 0 row cell negative x to the power of apostrophe plus 3 y to the power of apostrophe plus 16 end cell equals 0 row cell x to the power of apostrophe minus 3 y to the power of apostrophe minus 16 end cell equals 0 row cell x minus 3 y minus 16 end cell equals 0 end table end style

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