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?
The options are
A (-6, 4)
B (-4, 6)
C (4, 6)
D (-6, -4)
if ur not sure i think its -6,4 coming from me personally.
alright i have the answers their all right
8, -5
-6, 4
-8, 5
6 -4
-5, 9
To rotate a point clockwise 90 degrees about the origin, we swap the x and y coordinates and change the sign of the new x coordinate.
The original point is (-4, -6).
Swapping the x and y coordinates gives us (-6, -4).
Changing the sign of the new x coordinate gives us (6, -4).
Therefore, the new point when the point is rotated clockwise about the origin 90 degrees is (6, -4), which corresponds to option D.
To rotate a point about the origin 90 degrees clockwise, we can use the following formula:
(x', y') = (x*cos(θ) + y*sin(θ), -x*sin(θ) + y*cos(θ))
In this case, our point is (-4, -6) and we want to rotate it 90 degrees clockwise. Plugging these values into the formula, we get:
(x', y') = (-4*cos(90) + -6*sin(90), 4*sin(90) + -6*cos(90))
Now let's calculate the values:
(x', y') = (-4*0 + -6*1, 4*1 + -6*0)
(x', y') = (-6, 4)
So, the new point after rotating (-4, -6) 90 degrees clockwise about the origin is (-6, 4).
Therefore, the option A (-6, 4) is the correct answer.