kennethw4123 kennethw4123
  • 11-09-2020
  • Mathematics
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M (18, 24) is the midpoint of segment JL with J (- 4, - 2). What are the coordinates for L?

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lifelongknowledge62 lifelongknowledge62
  • 11-09-2020

Answer:

mid point (x,y) = M (18, 24)

let J (- 4, - 2) be ( x1, y1)

     L(a,b) be (x2,y2)

using midpoint formula

(x,y) = [(x1+x2)/2, (y1 + y2)/2]

or, (18, 24) = [(-4+a)/2, (-2+b)/2]

comparing corresponding element we get

18 = (-4+a)/2                 24 =(-2+b)/2

or 36 = -4+ a            or 48 = -2 +b

or a = 40                  or b= 50

L(40,50)

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