Roboguru

Diketahui titik A(1,2,3), B(3,3,1) dan C(7,x,y). Jika ketiga titik itu terletak pada sebuah garis lurus, tentukan hasil kali x dan y.

Pertanyaan

Diketahui titik A(1,2,3), B(3,3,1) dan C(7,x,y). Jika ketiga titik itu terletak pada sebuah garis lurus, tentukan hasil kali x dan y.

  1. begin mathsize 14px style.... end style 

  2. undefined 

Pembahasan Soal:

Diketahui:

begin mathsize 14px style straight A left parenthesis 1 comma 2 comma 3 right parenthesis end style 

begin mathsize 14px style straight B left parenthesis 3 comma 3 comma 1 right parenthesis end style

begin mathsize 14px style straight C left parenthesis 7 comma straight x comma straight y right parenthesis end style 

Ditanya:

 begin mathsize 14px style straight x times straight y end style =?

Jawab:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell AB with rightwards harpoon with barb upwards on top end cell equals cell straight B with rightwards harpoon with barb upwards on top minus straight A with rightwards harpoon with barb upwards on top end cell row blank equals cell open parentheses table row 3 row 3 row 1 end table close parentheses minus open parentheses table row 1 row 2 row 3 end table close parentheses end cell row blank equals cell open parentheses table row 2 row 1 row cell negative 2 end cell end table close parentheses end cell row cell BC with rightwards harpoon with barb upwards on top end cell equals cell straight C with rightwards harpoon with barb upwards on top minus straight B with rightwards harpoon with barb upwards on top end cell row blank equals cell open parentheses table row 7 row straight x row straight y end table close parentheses minus open parentheses table row 3 row 3 row 1 end table close parentheses end cell row blank equals cell open parentheses table row 4 row cell straight x minus 3 end cell row cell straight y minus 1 end cell end table close parentheses end cell row blank blank blank end table end style 

Karena A, B dan C berada dalam satu garis lurus, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell AB with rightwards harpoon with barb upwards on top end cell equals cell straight k BC with rightwards harpoon with barb upwards on top end cell row cell open parentheses table row 2 row 1 row cell negative 2 end cell end table close parentheses end cell equals cell straight k open parentheses table row 4 row cell straight x minus 3 end cell row cell straight y minus 1 end cell end table close parentheses end cell row blank left right double arrow cell 2 equals 4 straight k end cell row straight k equals cell 2 over 4 equals 1 half end cell row blank left right double arrow cell 1 equals 1 half times open parentheses straight x minus 3 close parentheses end cell row 2 equals cell straight x minus 3 end cell row 5 equals straight x row blank left right double arrow cell negative 2 equals 1 half times open parentheses straight y minus 1 close parentheses end cell row cell negative 4 end cell equals cell straight y minus 1 end cell row cell negative 3 end cell equals straight y end table end style 

Maka hasil kali x dan y adalah begin mathsize 14px style straight x times straight y equals 5 times open parentheses negative 3 close parentheses equals negative 15 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 06 Maret 2021

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