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Jika garis k melalui titik dan memiliki gradien 3 4 ​ , maka nilai a adalah ....

Jika garis k melalui titik Error converting from MathML to accessible text. dan memiliki gradien , maka nilai a adalah ....

  1. begin mathsize 14px style fraction numerator 20 square root of 3 over denominator 21 end fraction open parentheses 2 over 3 square root of 2 minus 1 close parentheses end style    

  2. size 14px minus fraction numerator size 14px 20 square root of size 14px 3 over denominator size 14px 21 end fraction open parentheses size 14px 2 over size 14px 3 square root of size 14px 2 size 14px minus size 14px 1 close parentheses    

  3. fraction numerator size 14px 20 square root of size 14px 3 over denominator size 14px 21 end fraction open parentheses size 14px 2 over size 14px 3 square root of size 14px 2 size 14px plus size 14px 1 close parentheses   

  4. size 14px minus fraction numerator size 14px 20 square root of size 14px 3 over denominator size 14px 21 end fraction open parentheses size 14px 2 over size 14px 3 square root of size 14px 2 size 14px plus size 14px 1 close parentheses    

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Misalkan dan maka gradien garis tersebut adalah

Misalkan begin mathsize 14px style open parentheses x subscript 1 comma y subscript 1 close parentheses equals open parentheses fraction numerator square root of 3 over denominator 2 end fraction semicolon 0 , 5 a close parentheses end style dan begin mathsize 14px style open parentheses x subscript 2 comma y subscript 2 close parentheses equals open parentheses negative fraction numerator 2 over denominator square root of 6 end fraction semicolon 1 , 2 a close parentheses end style maka gradien garis tersebut adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row m 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 4 over 3 end cell equals cell fraction numerator 1 , 2 a minus 0 , 5 a over denominator negative fraction numerator 2 over denominator square root of 6 end fraction minus fraction numerator square root of 3 over denominator 2 end fraction end fraction end cell row cell 4 open parentheses negative fraction numerator 2 over denominator square root of 6 end fraction minus fraction numerator square root of 3 over denominator 2 end fraction close parentheses end cell equals cell 3 open parentheses 1 , 2 a minus 0 , 5 a close parentheses end cell row cell negative fraction numerator 8 over denominator square root of 6 end fraction minus 2 square root of 3 end cell equals cell 3 open parentheses 0 , 7 a close parentheses end cell row cell open parentheses negative fraction numerator 8 over denominator square root of 6 end fraction cross times fraction numerator square root of 6 over denominator square root of 6 end fraction close parentheses minus 2 square root of 3 end cell equals cell 2 , 1 a end cell row cell negative 8 over 6 square root of 6 minus 2 square root of 3 end cell equals cell 2 , 1 a end cell row cell negative 4 over 3 square root of 6 minus 2 square root of 3 end cell equals cell 2 , 1 a end cell row cell negative 2 square root of 3 open parentheses 2 over 3 square root of 2 plus 1 close parentheses end cell equals cell 2 , 1 a end cell row a equals cell negative fraction numerator 2 square root of 3 over denominator 2 , 1 end fraction open parentheses 2 over 3 square root of 2 plus 1 close parentheses end cell row a equals cell negative fraction numerator 2 square root of 3 over denominator 2 , 1 end fraction open parentheses 2 over 3 square root of 2 plus 1 close parentheses cross times 10 over 10 end cell row a equals cell negative fraction numerator 20 square root of 3 over denominator 21 end fraction open parentheses 2 over 3 square root of 2 plus 1 close parentheses end cell end table end style    

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