Determine whether each statement about the rotation (x, y) arrowright (y, −x) is true or false. select true or false for each statement.

Rotation means rotating a shape through certain angle.

The  shape can be one Dimensional , 2 dimensional or 3 Dimensional.

Angle of rotation lies between 0 degrees to 360 degrees.

The point (x,y) lies in two Dimensional coordinate system.

Since point (x,y) is rotated and we are getting new coordinate as (y,-x).

The point (x,y) lies in first quadrant and the point (y,-x) lies in fourth quadrant.

Also,Distance of x-coordinate from X-axis=Distance of y coordinate from Y-axis

,Distance of y-coordinate from Y-axis=Distance of x coordinate from X-axis

     So, Either the shape is rotated through anticlockwise motion through an angle of 270 degrees or through an angle of 90 degrees in clockwise motion.

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation: