Question 18 of 32
1 point
which of the following statements best describes the transverse axis of a
hyperbola?
o
a. it equals the sum of the distances from any point on the hyperbola
to each focus.
o
b. it equals the product of the distances from any point on the
hyperbola to each focus.
o
c. it equals the difference between the distances from any point on
the hyperbola to each focus.
o
d. it equals the quotient of the distances from any point on the
hyperbola to each focus.

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.

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: