Kari and samantha have determined that their water-balloon launcher works best when they launch the balloon at an angle within 3 degrees of 45 degrees. which equation can be used to determine the minimum and maximum optimal angles of launch, and what is the minimum angle that is still optimal? |x – 3| = 45; minimum angle: 42 degrees |x – 3| = 45; minimum angle: 45 degrees |x – 45| = 3; minimum angle: 42 degrees |x – 45| = 3; minimum angle: 45 degrees

  |x – 45| = 3; minimum angle: 42 degrees

Step-by-step explanation:

The difference between x and 45 degrees can be written ...

  x -45

You want the magnitude of that to be equal to 3 degrees at the limits:

  |x -45| = 3

The two solutions to this equation are x ∈ {42, 48}. The smallest angle is then 42 degrees.

|x - 45| = 3; minimum angle: 42 degrees

Step-by-step explanation:

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