Does every line have an infinite number of lines that are perpendicular to the given line? Explain.

yes

Step-by-step explanation:

A line is a continuous .. well .. line that goes on forever in both directions. a perpendicular line is a line that touches the original line at one point and whose angles are 90 degrees. there can be an infinite amount of perpendiculat lines touching the same line. especially when you think in 3d.

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.