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

Pertanyaan

Garis $\style{font-size:14px}{g:3x-2y+12=0}$ dirotasikan sebesar 180° terhadap titik pusat ( 1 , 2). Hasil rotasi garis g mempunyai persamaan ..

$begin mathsize 14px style 3 x minus 2 y minus 10 equals 0 end style$
$size 14px 3 size 14px x size 14px minus size 14px 2 size 14px y size 14px plus size 14px 10 size 14px equals size 14px 0$
$size 14px 3 size 14px x size 14px plus size 14px 2 size 14px y size 14px minus size 14px 10 size 14px equals size 14px 0$
$size 14px 2 size 14px x size 14px minus size 14px 3 size 14px y size 14px minus size 14px 10 size 14px equals size 14px 0$
$size 14px 2 size 14px x size 14px plus size 14px 3 size 14px y size 14px plus size 14px 10 size 14px equals size 14px 0$

Pembahasan Soal:

$begin mathsize 14px style open parentheses table row cell x to the power of apostrophe end cell row cell y to the power of apostrophe end cell end table close parentheses equals open parentheses table row cell negative 1 end cell 0 row 0 cell negative 1 end cell end table close parentheses open parentheses table row cell x minus 1 end cell row cell y minus 2 end cell end table close parentheses plus open parentheses table row 1 row 2 end table close parentheses equals open parentheses table row cell negative x plus 2 end cell row cell negative y plus 4 end cell end table close parentheses end style$

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

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

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

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

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

M. Alfi

Mahasiswa/Alumni Universitas Negeri Semarang

Terakhir diupdate 05 Oktober 2021