chloeshamboney chloeshamboney
  • 20-08-2020
  • Mathematics
contestada

If Q is the midpoint of PR, find the coordinates of R if P(l 1, -2) and Q(4, 3).

Respuesta :

devishri1977
devishri1977 devishri1977
  • 20-08-2020

Answer:

Step-by-step explanation:

P(1, -2) ;Q(4,3)

Let R(x1,y1)

Midpoint=[tex](\frac{x_{1}+x_{2}}{2},\frac{y_1+y_2}{2})\\[/tex] = (4,3)

[tex](\frac{1+x_1}{2},\frac{-2+y_1}{2})=(4,3)\\[/tex]

Compare x coordinates and y coordinates

[tex]\frac{1+x_1}{2}=4 ; \frac{-2+y_2}{2}=3[/tex]

1+x1 = 4*2   ; -2+y2 = 3*2

1+x1 = 8       ;  -2 +y2 = 6

   x1= 8-1     ;        y2 = 6+2

    x1 = 7     ;         y2 = 8

R(7 , 8)

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