dmortega2004 dmortega2004
  • 01-10-2020
  • Mathematics
contestada

The midpoint of AB is M(7,0). If the coordinates of A are (8,3), what are the coordinates of B?​

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 01-10-2020

Answer:

The coordinates of B are ( 6,-3)

Step-by-step explanation:

A ( 8,3)  B( x,y)  M = (7,0)

To find the x coordinate of the midpoint add the two x coordinates of the endpoint and divide by 2

(8+x)/2 = 7

Multiply each side by 2

(8+x) = 14

Subtract 8 from each side

8+x-8 = 14-8

x = 6

To find the y coordinate of the midpoint add the two y coordinates of the endpoint and divide by 2

(3+y)/2 = 0

Multiply each side by 2

(3+y) = 0

Subtract 3 from each side

3+y-3=0-3

y = -3

The coordinates of B are ( 6,-3)

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