Odpowiedź:
a) B = ( 16 , 11 )
b) B = ( - 15 , - 10 )
Szczegółowe wyjaśnienie:
a) A= (4,9), S= (10,10)
[tex]S_{AB} =( \frac{x_{A} +x_{B} }{2},\frac{y _{A}+y_{B} }{2} )[/tex]
(10,10) = [tex]( \frac{4 +x_{B} }{2},\frac{9+y_{B} }{2} )[/tex]
10 = [tex]\frac{4 +x_{B} }{2}[/tex] /*2 10 = [tex]\frac{9+y_{B} }{2}[/tex] /*2
20 = 4 + [tex]x_{B}[/tex] 20 = 9 + [tex]y_{B}[/tex]
[tex]x_{B}[/tex] = 16 [tex]y_{B} = 11[/tex]
b) A=(-7,6), S= (-11, -2)
[tex]S_{AB} =( \frac{x_{A} +x_{B} }{2},\frac{y _{A}+y_{B} }{2} )[/tex]
( - 11 , - 2 ) = [tex]( \frac{-7 +x_{B} }{2},\frac{6+y_{B} }{2} )[/tex]
- 11 = [tex]\frac{-7 +x_{B} }{2}[/tex] /*2 - 2 = [tex]\frac{6+y_{B} }{2}[/tex] /*2
- 22 = - 7 + [tex]x_{B}[/tex] - 4 = 6 + [tex]y_{B}[/tex]
[tex]x_{B} = -15[/tex] [tex]y_{B}=-10[/tex]
