find the equation x^2 + y^2 + dx + ey + f = 0
of the circle that passes through the points. to verify your result, use a graphing utility to plot the points and graph the circle.
(0, 0), (8, 8), (16, 0)

D= -16

E= 0

F= 0

Step-by-step explanation:

The given equation is

It is also given that the circle passes through (0,0) (16,0) and (8,8).

Inserting (0,0) in the equation, it gives

This gives F = 0 .

Now inserting (16,0) , it gives

D = -16

Now inserting (8,8) , it gives

E = 0

Thus the equation of circle is

We can draw the following graph and thus verify that points (0,0) (8,8) and (16,0) lie on graph.

the square root of what number? if you add that, then someone will probably answer the question.

(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