Vertex a in quadrilateral abcd lies at (-3, 2). if you rotate abcd 180° clockwise about the origin, what will be the coordinates of a′ of the rotated quadrilateral a′b′c′d′?
a.
(3, -2)
b.
(-3, 2)
c.
(-2, 3)
d.
(-3, -2)

step-by-step explanation:

40% off the regular price is the correct answer.

step-by-step explanation:

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

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: