Answer: [tex]T'(18,36)[/tex]
Step-by-step explanation:
For this exercise it is important to know the definition of "Dilation".
A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape but have different sizes.
If the Dilation is centered at the origin, and knowing the scale factor of [tex]\frac{9}{5}[/tex], you need to multiply each coordinate of the point T by the scale factor in order to find the coordinates of the Image T'.
Knowing that the point T has the following coordinates:
[tex]T(10,20)[/tex]
You get that the coordinates of the Image T' are the shown below:
[tex]T'=(\frac{9}{5}*10,\frac{9}{5}*20)\\\\T'=(18,36)[/tex]