Pertanyaan

Jarak titik A(-2,5) dengan garis 3x+4y+15=0 adalah ...

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$a left parenthesis negative 2 comma 5 right parenthesis space rightwards arrow space x space subscript 1 space equals negative 2 semicolon space y space equals 5 3 x plus 4 y plus 15 equals 0 rightwards arrow A equals 3 semicolon space B equals 4 semicolon space C equals 15 d equals open vertical bar fraction numerator A x plus B y plus C over denominator square root of A squared plus B squared end root end fraction close vertical bar d equals open vertical bar fraction numerator left parenthesis 3 right parenthesis left parenthesis negative 2 right parenthesis left parenthesis space 4 right parenthesis left parenthesis 5 right parenthesis plus 151 over denominator equals square root of 3 squared plus 4 squared end root end fraction close vertical bar d equals open vertical bar fraction numerator negative 6 plus 20 plus 15 over denominator square root of 9 plus 16 end root end fraction close vertical bar d equals open vertical bar fraction numerator 29 over denominator square root of 25 end fraction close vertical bar equals open vertical bar 29 over 5 close vertical bar equals 5 comma 8$