Roboguru

Diketahui titik: Jika titik , Segaris tentukan lah nilai p + q !

Pertanyaan

Diketahui titik:space straight a. space left parenthesis 4 comma space 2 comma space straight q right parenthesis space straight B. space left parenthesis 2 comma space minus 2 comma space 1 right parenthesis space straight C. space left parenthesis 8 comma space straight p plus 2 comma space minus 8 right parenthesis Jika titik A comma space B space D a n space C space, Segaris tentukan lah nilai p + q !

Pembahasan Soal:

Diketahui :

Diketahui titik:space straight a. space left parenthesis 4 comma space 2 comma space straight q right parenthesis space straight B. space left parenthesis 2 comma space minus 2 comma space 1 right parenthesis space straight C. space left parenthesis 8 comma space straight p plus 2 comma space minus 8 right parenthesis

Jika titik A comma space B space D a n space C space, Segaris

Ditanya :

Tentukan ah nilai p + q !

penyelesaian :

Masalah di atas dapat diselesaikan sebagai berikut

A B space equals space k space cross times space B C dengan k adalah konstanta
table attributes columnalign right center left columnspacing 0px end attributes row cell straight B minus straight A space end cell equals cell space straight k x left parenthesis straight C minus straight B right parenthesis end cell row cell space left square bracket left parenthesis 2 space comma negative 2 space comma 1 right parenthesis minus left parenthesis 4 space comma 2 space comma space straight q space right parenthesis right square bracket space end cell equals cell space straight k cross times left square bracket left parenthesis 8 comma space straight p plus 2 space comma negative 8 right parenthesis space left parenthesis 2 space comma negative 2 space comma 1 right parenthesis right square bracket end cell row cell space left square bracket negative 2 space comma negative 4 space comma 1 minus straight q right square bracket space end cell equals cell space straight k cross times left square bracket 6 comma space straight p plus 4 comma space minus 9 right square bracket space end cell row cell space minus 2 space end cell equals cell space 6 straight k end cell row cell space straight k space end cell equals cell space minus 2 divided by 6 space end cell row blank equals cell space minus 1 divided by 3 space space end cell row cell negative 4 space end cell equals cell space straight k space left parenthesis straight p plus 4 right parenthesis space end cell row cell negative 4 space end cell equals cell space minus 1 divided by 3 space left parenthesis straight p plus 4 right parenthesis space end cell row cell 12 space end cell equals cell space straight p plus 4 space end cell row cell straight p space end cell equals cell space 12 minus 4 space end cell row cell straight p space end cell equals cell space 8 space space end cell row cell 1 minus straight q space end cell equals cell space straight k space cross times space left parenthesis negative 9 right parenthesis space end cell row cell 1 minus straight q space end cell equals cell space minus 1 divided by 3 space straight x space left parenthesis negative 9 right parenthesis space end cell row cell 1 minus straight q end cell equals cell space 3 space straight q space equals space 1 minus 3 end cell row cell space straight q space end cell equals cell space minus 2 space space end cell row cell straight p plus straight q end cell equals cell space 8 plus left parenthesis negative 2 right parenthesis end cell row blank equals cell 6 space end cell end table
 

Jadi, nilai p + q = 6.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 02 Juni 2021

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