Coordinates of C under a dilation about point D with scale factor 2 is
( -13, -1 ).
We have scale factor of 2, and the coordinates are C (-5, 0) and D (3, 1).
It says C dilates about point D with the scale factor.
As there are only two points so we can make point D as center.
Now, According to the rule of dilation with Point D ( 3, 1 ) and scale factor 2.
( x, y ) → (2(x - 3) + 3 ) , ( 2(y - 1) + 1 )
( x, y ) → (2x - 3), (2y - 1)
then the dilation of the point C (-5, 0)
after putting x = -5 and y = 0 in the above equation we get,
(x, y) → (2 . (-5) - 3) , (2 . 0 - 1)
(x, y) → ( -10 - 3) , (-1)
(x, y) → ( -13 , -1)
Hence, Coordinates of C under a dilation about point D with scale factor 2 is ( -13, -1 )
Learn more about "Dilation of Points" from here: https://brainly.com/question/11781150
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