1.

The distance between the points (k,-5) and (2,7) is 13 units. find the value of k.

Answer»

A = (k, -5)

B = (2, 7)

Distance = 13 units

Distance between A and B = √(x1 - x2)2 + (y1 - y2)2

13 = √(k - 2)2 + (-5 - 7)2

132 = (k - 2)2 + (-12)

169 = (k - 2)2 + 144

169 - 144 = (k - 2)2

25 = (k - 2)2

√25 = k - 2

5 = k - 2

k = 5 + 2

k = 7 



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