Answer :
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.