When the distance between the points P(2,-3) and Q(10,y) is 10 units, the value of ‘y’ is__
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I am not understanding your question is
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PQ = √(2-10)^2 + (-3-y)^2
10 = √(-8)^2 + (-3)^2 + y^2 - 2(-3)(y)
10^2 = 64 + 9 + y^2 + 6y
100 = 73 + y^2 + 6y
100-73=y^2 + 6y
27 = y^2 + 6y
y^2 + 6y - 27 = 0
y^2 + 9y -3y -27 = 0
y(y+9) - 3(y+9)=0
(y+9) (y-3) = 0
y=-9 or y=3
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