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

Answer»

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



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