Item 10 question 1 two groups of hikers leave the same camp heading in opposite directions. the first group travels 2 miles north and 5 miles east. the second group travels 3 miles south and 7 miles west. a. draw the situation in the coordinate plane using a right triangle. use the origin as the camp location, and let each unit represent 1 mile. for example, the point (2, 1) would represent 2 miles east and 1 mile north of the camp. b. determine the distance between the two groups after the hikes.

the answer

b. they are parallel and will never intersect.

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.