Describe the steps to draw a line perpendicular to line segment AB through point C that is not on the segment.

First you can just flip the line on point C to make a 90 degree angle. That's the simple way.

Other way is to get the slope of AB let's say ex : -1/2

We need to get the slope of C to be a reversed reciprocal of -1/2. So, 2.

Basically I flipped -1/2 in to -2/1 then removed the negative sign for 2.

:)

Hope that makes sense to ya

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.