Helpnowpls2
Helpnowpls2 Helpnowpls2
  • 19-09-2020
  • Mathematics
contestada

HELP ME QUICK: Suppose AB has one endpoint at A(0, 0). If (5, 3) is the midpoint of AB, what are the coordinates of point B?

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 20-09-2020

Answer:

          B(10, 6)

Step-by-step explanation:

If P is midpoint of AB and:  [tex]A(0,\,0)\,,\quad P(5,\,3)\,,\quad B(x_B,\,y_B)[/tex]

then:

[tex]x_P-x_A=x_B - x_P\qquad\quad\ \wedge\qquad y_P-y_A=y_B - y_P\\\\ 5-0=x_B-5\qquad\quad\wedge\qquad 3-0=y_B -3\\\\ x_B=5+5\qquad\qquad\wedge\qquad\ \ y_B=3+3 \\\\ {}\quad x_B=10\qquad\qquad\wedge\qquad\qquad \ y_B=6[/tex]

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