Find the vertical asymptotes, if any, of the graph of the rational function.

f(x) = x - 4 / x (x - 4)

a. x = 4 and x = 4
b. x = 4
c. x = 0
d. no vertical asymptote

There is a vertical asymptote for the rational function at x = −4. Set the denominator equal to 0 and solve for x.

2x + 8 = 0 → x = −4

Step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180