battiatodominic7 battiatodominic7
  • 01-10-2019
  • Mathematics
contestada

Find the values of x and y. [tex]T_(_-_2_,_7_)(x,y)=(3,-1)[/tex]

Respuesta :

gmany
gmany gmany
  • 01-10-2019

Answer:

x = 5, y = -8

Step-by-step explanation:

[tex]T_{(-2,\ 7)}[/tex]

T - translation vector

(-2, 7) - coordinates of the vector

[tex]T_{(-2,\ 7)}(x,\ y)=(3,\ -1)\to(x-2,\ y+7)=(3,\ -1)[/tex]

Therefore we have the equations:

[tex](1)\\x-2=3\qquad\text{add 2 to both sides}\\x-2+2=3+2\\x=5\\\\(2)\\y+7=-1\qquad\text{subtract 7 from both sides}\\y+7-7=-1-7\\y=-8[/tex]

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