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Garis k melalui titik A(−2, 3) dan B(3, 1). Garis l melalui titik C(−6, 5), D(−2, d), T(t,−5). Garis k tegak lurus garis . Tentukan nilai d dan t.

Pertanyaan

Garis undefined melalui titik undefined dan Error converting from MathML to accessible text.. Garis undefined melalui titik Error converting from MathML to accessible text.. Garis undefined tegak lurus garis undefined. Tentukan nilai size 14px d dan size 14px t.

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

 nilai size 14px d dan size 14px t adalah 15 space text dan end text space minus 10.

Pembahasan

Diketahui garis undefined melalui titik begin mathsize 14px style straight A open parentheses straight x subscript 1 comma straight y subscript 1 close parentheses equals left parenthesis negative 2 comma space 3 right parenthesis end style dan begin mathsize 14px style B open parentheses x subscript 2 comma y subscript 2 close parentheses equals left parenthesis 3 comma 1 right parenthesis end style, maka gradien garis k adalah 

table attributes columnalign right center left columnspacing 0px end attributes row cell m subscript k end cell equals cell fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction end cell row blank equals cell fraction numerator 1 minus 3 over denominator 3 minus left parenthesis negative 2 right parenthesis end fraction end cell row blank equals cell negative 2 over 5 end cell end table 

garis k tegak lurus dengan garis l, sehingga gradien garis l adalah

table attributes columnalign right center left columnspacing 0px end attributes row cell m subscript k cross times m subscript l end cell equals cell negative 1 end cell row cell negative 2 over 5 cross times m subscript l end cell equals cell negative 1 end cell row cell m subscript l end cell equals cell 5 over 2 end cell end table

serta garis undefined melalui titik begin mathsize 14px style straight C open parentheses straight x subscript 1 comma straight y subscript 1 close parentheses equals left parenthesis negative 6 comma space 5 right parenthesis space dan space space straight D open parentheses straight x subscript 2 comma straight y subscript 2 close parentheses equals left parenthesis negative 2 comma space d right parenthesis end style, maka 

table attributes columnalign right center left columnspacing 0px end attributes row cell m subscript l end cell equals cell fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction end cell row cell 5 over 2 end cell equals cell fraction numerator d minus 5 over denominator left parenthesis negative 2 right parenthesis minus left parenthesis negative 6 right parenthesis end fraction end cell row cell 5 over 2 end cell equals cell fraction numerator d minus 5 over denominator 4 end fraction end cell row cell 20 over 2 end cell equals cell d minus 5 end cell row 10 equals cell d minus 5 end cell row d equals 15 end table

dan garis undefined melalui titik begin mathsize 14px style straight C open parentheses straight x subscript 1 comma straight y subscript 1 close parentheses equals left parenthesis negative 6 comma space 5 right parenthesis space dan space space straight T open parentheses straight x subscript 2 comma straight y subscript 2 close parentheses equals left parenthesis t comma negative 5 right parenthesis end style, maka

table attributes columnalign right center left columnspacing 0px end attributes row cell m subscript l end cell equals cell fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction end cell row cell 5 over 2 end cell equals cell fraction numerator left parenthesis negative 5 right parenthesis minus 5 over denominator t minus left parenthesis negative 6 right parenthesis end fraction end cell row cell 5 over 2 end cell equals cell fraction numerator negative 10 over denominator t plus 6 end fraction end cell row 5 equals cell fraction numerator negative 20 over denominator t plus 6 end fraction end cell row cell 5 left parenthesis t plus 6 right parenthesis end cell equals cell negative 20 end cell row cell 5 t plus 30 end cell equals cell negative 20 end cell row cell 5 t end cell equals cell negative 50 end cell row t equals cell negative 10 end cell end table 

Jadi, nilai size 14px d dan size 14px t adalah 15 space text dan end text space minus 10.

654

5.0 (1 rating)

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