11/60 simplified into a smaller fraction
2 answers:
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Answer:
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 , 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:
You get that the coordinates of the Image T' are the shown below:
Since and
are roots of
, we can factorize the quadratic in terms of the roots as
Expanding the right side gives
so that
A polynomial with roots and
would be
and expanding this gives
Now,
and
So we can write the second quadratic in terms of as
and to make things look cleaner, scale the whole expression by to get