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Garis g:3x−2y+12=0 dirotasikan sebesar 180° terhadap titik pusat ( 1 , 2). Hasil rotasi garis g mempunyai persamaan ..

Pertanyaan

Garis begin mathsize 14px style g colon 3 x minus 2 y plus 12 equals 0 end style dirotasikan sebesar 180° terhadap titik pusat ( 1 , 2). Hasil rotasi garis g mempunyai persamaan ..

  1. begin mathsize 14px style 3 x minus 2 y minus 10 equals 0 end style

  2. size 14px 3 size 14px x size 14px minus size 14px 2 size 14px y size 14px plus size 14px 10 size 14px equals size 14px 0 

  3. size 14px 3 size 14px x size 14px plus size 14px 2 size 14px y size 14px minus size 14px 10 size 14px equals size 14px 0

  4. size 14px 2 size 14px x size 14px minus size 14px 3 size 14px y size 14px minus size 14px 10 size 14px equals size 14px 0

  5. size 14px 2 size 14px x size 14px plus size 14px 3 size 14px y size 14px plus size 14px 10 size 14px equals size 14px 0

M. Alfi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

hasil rotasi garis g adalah A. begin mathsize 14px style bold 3 bold italic x bold minus bold 2 bold italic y bold minus bold 10 bold equals bold 0 end style

Pembahasan

begin mathsize 14px style open parentheses table row cell x to the power of apostrophe end cell row cell y to the power of 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 minus 2 end cell end table close parentheses plus open parentheses table row 1 row 2 end table close parentheses equals open parentheses table row cell negative x plus 2 end cell row cell negative y plus 4 end cell end table close parentheses end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell x apostrophe end cell equals cell negative x plus 2 end cell row x equals cell negative x apostrophe plus 2 end cell end table end style

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

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 3 x minus 2 y plus 12 end cell equals 0 row cell 3 left parenthesis negative x apostrophe plus 2 right parenthesis minus 2 left parenthesis negative y to the power of apostrophe plus 4 right parenthesis plus 12 end cell equals 0 row cell negative 3 x to the power of apostrophe plus 2 y to the power of apostrophe plus 10 end cell equals 0 row cell 3 x minus 2 y minus 10 end cell equals 0 end table end style

Jadi, hasil rotasi garis g adalah A. begin mathsize 14px style bold 3 bold italic x bold minus bold 2 bold italic y bold minus bold 10 bold equals bold 0 end style

1rb+

4.6 (5 rating)

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Tentukan persamaan bayangan dari setiap kasus berikut! a. Garis 2x+y+3=0 dirotasikan terhadap titik (−1,2) sebesar 90∘.

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