kayleeehakee9251 kayleeehakee9251
  • 21-05-2020
  • Mathematics
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PLEASE HELP THIS IS DUE IN AN HOUR!!!


point v (8,10) is rotated 810 degrees counterclockwise about the origin. what is the x coordinate of the point after this rotation?

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jajumonac jajumonac
  • 22-05-2020

Answer:

The x-coordinate after the rotation is -10.

Step-by-step explanation:

A 810° rotation is equal to a 90° rotation. So, the transformation described gives the same result than rotating 90° only.

A 90° counterclockwise rotation is defined by the rule

[tex](x,y) \implies (-y,x)[/tex]

The given coordinate is [tex](8,10)[/tex]. Using the rule, we have

[tex](8,10) \implies (-10,8)[/tex]

Therefore, the x-coordinate after the rotation is -10.

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