Consider the function f(x)=x^2+5x+2 and the point a(4,2).
f′(x) =? find a formula for the slope of a line passing through point a, and an arbitrary point on the function. your answer should be a formula in terms of x.
slope=? using your answers from the two previous questions, find the slope(s) of the line(s) through point a that is (are) tangent to f(x). if there is more than one line you can separate your answers with a comma (ex. 5, 2). slope(s) =?

21

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