Question

find th edistance between (a, b)and(-a, - b)​

Answer 1

$(a \: \: \: \: b) = (x1 \: \: \: y1) \: \: \: \: \: \: \: \: \: \: \\ \\ ( - a \: \: \: - b) = (x2 \: \: \: y2)\\ \\ d = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } \\ \\ d = \sqrt{ {(a - ( - a))}^{2} + {(b - ( - b))}^{2} } \\ \\ d = \sqrt{ {(a + a)}^{2} + {(b + b)}^{2} } \\ \\ d = \sqrt{ {(2a)}^{2} + {(2b)}^{2} } \\ \\ d = \sqrt{4 {a}^{2} + 4 {b}^{2} } \\ \\ d = \sqrt{4( {a}^{2} + {b}^{2}) } \\ \\ d = 2 \sqrt{ {a}^{2} + {b}^{2} }$

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Answer 2

your answer is in above attachment

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