Question

6. The distance between point A (5,- 3) and B (13, m) in 10 units. Calculate the value of m.
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Answer 1

Answer:

$m = 3 \: \: \: \: \: \: \: m = - 9$

Step-by-step explanation:

${(13 - 5)}^{2} + {(m + 3)}^{2} = 100 \\ \\ 64 + {(m + 3)}^{2} = 100 \\ \\ {(m + 3)}^{2} = 36 \\ \\ m + 3 = 6 \: \: \: \: \: \: \: \: \: m + 3 = -6 \\ \\ m = 3 \: \: \: \: \: \: \: m = - 9$