ziaracorporan1071 ziaracorporan1071
  • 06-09-2020
  • Mathematics
contestada

A line segment has an endpoint at (4,6). If the midpoint of the line segment is (1,5), what are the coordinates of the point at the other end of the line segment

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ZJSG09112007 ZJSG09112007
  • 06-09-2020

Answer:

(-2 , 4)

Step-by-step explanation:

[tex](x_1 ,y_1)= (4,6)\\(x,y)=(1,5)\\\\x = \frac{x_1+x_2}{2}\\ \\y = \frac{y_1+y_2}{2}\\ \\1 = \frac{4+x_2}{2}\\Cross \:Multiply\\2 \times 1 = 4+x_2\\2 = 4+x_2\\2-4 =x_2\\\\x _2=-2\\\\\\y =\frac{y_1+y_2}{2} \\5 = \frac{6+y_2}{2}\\ \\Cross \:Multiply\\5 \times 2 = 6+y_2\\10 =6+y_2\\10-6 =y_2\\4 =y_2\\\\y_2 =4\\\\(x_2,y_2) = (-2,4)[/tex]

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