There is a lock with 5 buttons numbered from 1 to 5. The combination that opens this lock can be set to any sequence of buttons with the length between 1 and √43, inclusive. The order in which the buttons are pressed does not matter. How many ways can the lock combination be set?

Answer Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis explanation the given figure has vertices p(1,2),q(2,1),r(3,2),s(3,3)recall that for counterclockwise rotation about the origin, (x,y)\rightarrow (-x,-y)when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)

Step-by-step explanation:

center= (-2,0)

radius= sqrt2/2

step-by-step explanation:

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