An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 90 miles from the point and has a speed of 450 miles per hour. The other is 120 miles from the point and has a speed of 600 miles per hour.

a. At what rate is the distances between the planes decreasing?
b. How much time does the traffic controller have to get one of the planes on a different flight path?

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:

answer: no

step-by-step explanation: because the big angle will spread away the 2 side that it is on and make the opposite side even longer.