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Answer :

Answer:

[tex]Q' =(-4,-3)[/tex]

Step-by-step explanation:

Given

[tex]Q = (3,-4)[/tex]

Rotation = +270 degrees

Required

Determine the new coordinates of Q (i.e. Q')

When a point (x,y) is rotated +270° about the origin, the new coordinates is: (y,−x)

So:

[tex]Q = (3,-4)[/tex]

Where:

[tex]x = 3[/tex] and [tex]y = -4[/tex]

Q' will be:

[tex]Q' =(-4,-3)[/tex]