Find the value of a, if the distance between the points A(-3,-14) and B(a,-5) is
9 units.
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Step-by-step explanation:
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Step-by-step explanation:
Given,
point A+pointB=9units
distance formula=√(x2-x1)^2+(y2-y1)^2
point A = (-3,-14),point B =(a, -5)
x1=-3,x2=a,y1=-14,y2=-5
distance from A to B = √{a-(-3)}^2+{-5-(-14)}^2
√(a+3)^2+(-5+14)^2=9
√(a+3)^2+(9)^2=9
√(a^2+6a+9)+81=9
a^2+6a+9+81=3
a^2+6a+90-3=0
a^2+6a+87=0
a(a+6)+87=0
a+6+87=0
a=-93
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