harrystylesgf harrystylesgf
  • 18-09-2020
  • Mathematics
contestada

The coordinates of point T are (0,2). The midpoint of ST is (4. - 4). Find the coordinates of point S.

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 20-09-2020

Answer:

          S(8, -10)

Step-by-step explanation:

If point M is midpoint of ST then:

[tex]x_S-x_M=x_M- x_T\qquad\quad\ \wedge\qquad y_S-y_M=y_M - y_T\\\\S(x_S,\,y_S)\,,\quad T(0,\,2)\,,\quad M(4,\,-4)\,,\ \ so:\\\\x_S-4=4- 0\qquad\quad\ \wedge\qquad y_S-(-4)=-4-2\\\\x_S=4+4\qquad\quad\ \wedge\qquad\ y_S=-6-4\\\\{}\quad x_S=8\qquad\quad\ \wedge\qquad\ y_S=-10[/tex]

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