what is the distance between the two endpoints in the graph below? if necessary, round your answer to two decimal places.

   A. 7.07 units

Step-by-step explanation:

The distance between any two points (a,b) and (c,d) is given by :-

From the given picture , we can see that the line is passing through (2,3) and (-3,-2).

The distance between (2,3) and (-3,-2) is given by :-

Hence, the distance between the two endpoints = 7.07 units

x=6 and x=3

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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.