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.

-1/2 +2

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have