Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'QʻR'S'. Which rule describes this transformation? (Please leave an explanation)

P(h, k) → P'(k, -h)

Step-by-step explanation:

Rule to be followed,

If a point P(h, k) is rotated 90° clockwise about the origin, coordinates of the image point P' will be,

P(h, k) → P'(k, -h)  

Similarly, all vertices of the parallelogram PQRS will follow the same rule when rotated 90° about the origin to form P'Q'R'S'.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: