Respuesta :

S1NGH

Answer:

( 8 , 6 )

Step-by-step explanation:

A = ( 2 , 2 ) and C = ( 5 , 4 )

→ Form an equation

[tex]\frac{2+x}{2} =5[/tex]   and   [tex]\frac{2+y}{2}=4[/tex]

→ Now solve them

2 + x = 10 and 2 + y = 6

→ Simply find the values

x = 8 and y = 6

TheAnimeGirl
  • Let the coordinates of B be ( x , y ). Now , Let A ( 2 , 2 ) be ( x₁ , y₁ ) & B ( x , y ) be ( x₂ , y₂ )

SOLUTION :

  • All you need to apply is the formula of Midpoint i.e [tex] \sf{ \bold{( \frac{x_{1} + x_{2}}{2} \: , \frac{y_{1} + y_{2}}{2} )}}[/tex]

  • Plug the known values :

[tex] \large{ \rightarrow{ \tt{ \: (5 \: ,4 \: ) = ( \frac{2 + x}{2} \: , \frac{2 + y}{2} )}}}[/tex]

  • Equating corresponding values :

[tex] \large{ \tt{5 = \frac{2 + x}{2} }}[/tex]

[tex] \large{ \rightarrow{ \tt{10 = 2 + x}}}[/tex]

[tex] \large{ \rightarrow{\tt{10 - 2 = x}}}[/tex]

[tex] \boxed{ \large{ \rightarrow \tt{x = 8}}}[/tex]

  • Value of x = 8

[tex] \large{ { \tt{4 = \frac{2 + y}{2} }}}[/tex]

[tex] \large{ \rightarrow{ \tt{8 = 2 + y}}}[/tex]

[tex] \large{ \rightarrow{ \tt{8 - 2 = y}}}[/tex]

[tex] \boxed{ \large{ \rightarrow{ \tt{y = 6}}}}[/tex]

  • Value of y = 6

[tex] \large{ \boxed{ \tt{OUR \: FINAL \: ANSWER : \: D. \: (8 \:, 6 \: ) }}}[/tex]

:) Hope I helped! Let me know if you have any questions regarding my answer! ~

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