thegucciejuice thegucciejuice
  • 10-06-2021
  • Mathematics
contestada

The midpoint of segment AB is (6,5). The coordinates of point A are (7,10). Find the coordinates of point B.

Answer options: (5,10) (8,15) (-3,7)

Respuesta :

sriyashtha
sriyashtha sriyashtha
  • 10-06-2021

Step-by-step explanation:

none of the options is correct

the answer is (5,0)

Answer Link
sreedevi102
sreedevi102 sreedevi102
  • 10-06-2021

Answer:

option 2 : ( 8 , 15 )

Step-by-step explanation:

A ( 6 , 5 )

Mid point ( 7, 10)

B ( x , y )

x coordinate of B

[tex]Mid point = \frac{6 + x }{2}\\\\7 = \frac{6 +x }{2}\\\\7 \times 2 = 6+x\\\\14 - 6= x\\\\8 = x[/tex]

y coordinate of B

[tex]midpoint = \frac{y +5 }{2}\\\\10 = \frac{y +5 }{2}\\\\10 \times 2 = y + 5\\\\20 - 5 = y \\\\15 = y[/tex]

B = ( 8 , 15)

Answer Link

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