katiem1315 katiem1315
  • 13-08-2017
  • Mathematics
contestada

*m is the midpoint of segment in. c has coordinates (-3, -1) and m has coordinates (0,1). find the coordinates of n

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Аноним Аноним
  • 13-08-2017
m is the mid-point : (0,1)

c is one end : (-3, -1)

n is the other end : (x, y)

The formula for the midpoint of a line segment is : ([tex] \frac{ x_{1} + x_{2} }{2} [/tex], [tex] \frac{ y_{1} + y_{2}}{2} [/tex])

Mid-point m : ([tex] \frac{x + (-3)}{2} , \frac{y + (-1)}{2} [/tex])

(0, 1) : ([tex] \frac{(x -3)}{2} , \frac{(y -1)}{2} [/tex])

Thus,

[tex] \frac{x-3}{2} = 0[/tex]

--- x = 3

[tex] \frac{y-1}{2} = 1[/tex]

y -1 = 2

--- y = 3

The co-ordinate of n is (3,3)


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