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dusya [7]
3 years ago
13

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
Mathematics
1 answer:
IrinaK [193]3 years ago
8 0

Answer:

(-2 , 4)

Step-by-step explanation:

(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)

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