To find the image of the point (-8,0) after a rotation of 270 degrees counterclockwise about the origin, we can use the rotation matrix for 270 degrees. The rotation matrix for a counterclockwise rotation of 270 degrees is:

[0 1]
[-1 0]

We multiply this matrix by the point (-8,0) to get the new coordinates:

[0 1] * [-8] = [0]
[-1 0] [0] = [8]

So, the image of the point (-8,0) after a rotation of 270 degrees counterclockwise about the origin is (0,8).

Question

To find the image of the point (-8,0) after a rotation of 270 degrees counterclockwise about the origin, we can use the rotation matrix for 270 degrees. The rotation matrix for a counterclockwise rotation of 270 degrees is:

[0  1]
[-1 0]

We multiply this matrix by the point (-8,0) to get the new coordinates:

[0  1] * [-8] = [0]
[-1 0]   [0]   = [8]

So, the image of the point (-8,0) after a rotation of 270 degrees counterclockwise about the origin is (0,8).

Knowee AI · Accepted Answer

To find the image of the point (-8,0) after a rotation of 270 degrees counterclockwise about the origin, we can use the rotation matrix for 270 degrees. The rotation matrix for a counterclockwise rotation of 270 degrees is:

[0  1]
[-1 0]

We multiply this matrix by the point (-8,0) to get the new coordinates:

[0  1] * [-8] = [0]
[-1 0]   [0]   = [8]

So, the image of the point (-8,0) after a rotation of 270 degrees counterclockwise about the origin is (0,8).

What is the image of the point left parenthesis, minus, 8, comma, 0, right parenthesis(−8,0) after a rotation of 270, degrees270 ∘ counterclockwise about the origin?

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