Question

Find the positive value of m for which the distance between the points (5,-3) and (13,m)is 10

Answer 1

Step-by-step explanation:

using distance formula

$\sqrt{(13 - 5) {}^{2} } + \sqrt{(m + 3) {}^{2} } =10 \\ \sqrt{(8) {}^{2} } + \sqrt{(m {}^{2} } + 9 + + 6m) = 10 \\ \sqrt{64 + m {}^{2} } + 9 + 6m = 10 \\ m {}^{2} + 6m + 73 = 10 \\ takin \: root \: on \: both \: side$

Answer 2

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