Rectangle abcd is translated (x + 2, y − 3) and then rotated 180° about the origin. complete the table to show the locations of a″, b″, c″, and d″ after both transformations.

answer:

the coordinate of b is(-3,0), c is (1, 0) , a is (-3,-2) and d is (1, -2)

step-by-step explanation:

so the rectangle moves 2 towards the right and three towards the bottom. now we rotate 180 degrees but that really doesnt do anything because we just flipped it.so the coordinate of b is(-3,0), c is (1, 0) , a is (-3,-2) and d is (1, -2) after everything happens

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: