kari and samantha have determined that their water - balloon launcher works best when they launch the…

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

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

Answer

Explanation:

Step1: Understand absolute - value equation concept

The absolute - value equation (|x - a|=b) represents the distance between (x) and (a) is (b). Here, the ideal angle is (45) degrees and the tolerance is (3) degrees. So the equation to represent the minimum and maximum optimal angles is (|x - 45| = 3).

Step2: Solve the absolute - value equation

If (|x - 45|=3), then we have two cases: Case 1: (x−45 = 3), so (x=45 + 3=48). Case 2: (x−45=-3), so (x=45-3 = 42). The minimum angle is (42) degrees.

Answer:

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