Respuesta :
(-8, -9) is in the third quadrant.
If you know the Unit Circle, 270 degrees goes directly downwards.
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------180 degrees------------------------------------------------------0 degrees--------
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| 270 degrees
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So rotating the point that same distance (or angle whatever) is technically just going up 18, since the distance from your y-value to the x-axis is 9.
(-8, 9)
If you know the Unit Circle, 270 degrees goes directly downwards.
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| 90 degrees
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------180 degrees------------------------------------------------------0 degrees--------
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| 270 degrees
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So rotating the point that same distance (or angle whatever) is technically just going up 18, since the distance from your y-value to the x-axis is 9.
(-8, 9)
Answer:
(-9,8)
Step-by-step explanation:
A point at (−8, −9) is rotated 270° counterclockwise about the origin.
Rotation about origin with 270° counterclockwise.
Coordinate change:
[tex](x,y)\rightarrow (y,-x)[/tex]
Therefore,
[tex](-8,-9)\rightarrow (-9,8)[/tex]
The resulting coordinate is (-9,8)
We can also see in attachment for rotation of coordinate.
Hence, The image of coordinate after rotation 270° counterclockwise about origin is (-9,8)
