To rotate a point clockwise about the origin, we can use the formula:
(x', y') = (x * cos(theta) + y * sin(theta), -x * sin(theta) + y * cos(theta))
In this case, since we want to rotate 90 degrees clockwise, we can plug in theta = -90 degrees or -pi/2.
(x', y') = (-4 * cos(-pi/2) + -6 * sin(-pi/2), -(-4) * sin(-pi/2) + -6 * cos(-pi/2))
(x', y') = (-4 * 0 + -6 * (-1), 4 * (-1) + -6 * 0)
(x', y') = (0 + 6, -4 + 0)
(x', y') = (6, -4)
Therefore, the new point after rotating (-4, -6) clockwise about the origin 90 degrees is (6, -4).
None of the answer choices match this result, so none of the answer choices are correct.
Given a point on a line segment (-4, -6), what is the new point when the point is rotated clockwise about the origin 90 degrees?
1. (-6, 4)
2. (4, 6)
3. (-6, -4)
4. (-4, 6)
3 answers
May you pick at least one answer bot please
Apologies for the incorrect initial response. Among the answer choices provided, the closest option to the correct answer is:
3. (-6, -4)
3. (-6, -4)