adrianamanthe
adrianamanthe adrianamanthe
  • 16-09-2020
  • Mathematics
contestada

M(-3,2) is the midpoint of AP. If A has coordinates (-1,5), what are the
coordinates of P?

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 18-09-2020

Answer:

           P(-5, -1)

Step-by-step explanation:

If M is midpoint of AP then:  

[tex]x_P-x_M=x_M-x_A\qquad\quad\ \wedge\qquad y_P-y_M=y_M-y_A\\\\x_P-(-3)=-3-(-1)\qquad\wedge\qquad y_P-2=2-5\\\\x_P+3=-3+1\qquad\quad\ \wedge\qquad\quad y_P-2=-3\\\\x_P=-3+1-3\qquad\quad\ \wedge\qquad\quad y_P=-3+2\\\\x_P=-5\qquad\qquad\ \wedge\qquad\qquad y_P=-1[/tex]

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