find the values Of Y for which the distances between the point P(10,-12) and Q(20,Y) is 10 units
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Step-by-step explanation:
distance formula = square root of (x1 - x2)^ + ( y1 - y2 )^
square root of ( 10- 20 )^ + ( -12 - Y )^
distance between P and Q
square root of (10 - 20 )^ + ( -12 - Y )^ = 10
squaring on both sides
therefore, ( -10 )^ + ( -12 - y )^ = 100
100 + ( - 12 - Y )^ = 100
( - 12 - Y )^ = 100 - 100
(-12 - Y )^ = 0
square root on both sides
-12 - y = 0
-12 = 0 + Y
Y = - 12
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