Point P is on line segment \overline{OQ} OQ

. Given OP=x-3,OP=x−3, PQ=1,PQ=1, and OQ=3x-10,OQ=3x−10, determine the numerical length of \overline{OP}.
OP
.

Segment OP = 1

Step-by-step explanation:

Segment OQ = Segment OP + Segment PQ

        3x - 10 = (x - 3) + 1

        3x - 10 = x - 2            Solve for x

           2x - 10 = -2              

            2x = 8

            x = 4

Segment OP = x - 3  so 4 - 3 = 1

Check:   3x -10 = (x - 3) + 1 ;  3 · 4 -10 = (4 - 3) + 1 ; 2 = 2  

correct answer:

i^31 = -i