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Using the transformation T: (x, y) (x + 2, y + 1), find the distance named.

Click an item in the list or group of pictures at the bottom of the problem and holding the button down drag it into the correct position in the answer box Rele class=

Respuesta :

The required distance AB is given by .[tex]\sqrt{17}[/tex]

What is transformation?

Transformation, is process which is used to change the position of the bor shapes.

Since, coordinate of A(0,0) B(1,4)

After transformation T: (x, y) (x + 2, y + 1) of A, B it become A'(2, 1), B '(3,5)
Now,
Distance = √(x2-x1)^2+(y2-y1)^2

AB =  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] ; A'B' =  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] ;
   A(0,0) B(1,4)                                     A'(2, 1), B '(3,5)
 AB= [tex]\sqrt{(1-0)^2+(4-0)^2}[/tex]                  A'B'= [tex]\sqrt{(3-2)^2+(5-1)^2}[/tex]
 AB= √17                                            A'B' = √17

Thus, the required distance AB and A'B'  = √17.

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