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Step-by-step explanation:

Let all the measurements be in same unit.

200 cm = 2 m

2000 mm = 2 m

Let distance jumped by Jack = x m

Distance jumped by Jerzy = x + 2

Distance jumped by Abdullah = (x+ 2) + 2 = x + 4

Total = 12.69 m

x + x +2 +x +4 = 12.69

x +x + x + 2 + 4 = 12.69

         3x + 6      = 12.69

                  3x = 12.69 - 6

                 3x  = 6.69

                    x = 6.69/3

                    x = 2.23 m

distance jumped by Jack =2.23m

Distance jumped by Jerzy = 2.23 + 2 = 4.23 m

Distance jumped by Abdullah = 2.23 + 4 = 6.23 m

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.