Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. which statements are true? check all that apply.
the radius of the circle is 3 units.
the center of the circle lies on the x-axis.
the center of the circle lies on the y-axis.
the standard form of the equation is (x – 1)² + y² = 3.
the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

The answer is (A), (B) and (E).

Step-by-step explanation: The given equation of the circle is

We have

which is the standard form of the circle.

So, centre of the circle is (1, 0) and radius is 3 units.

Therefore, the centre lies on the X-axis.

Also, the radius of the circle is 3 units, which is same as the radius of our original circle.

Thus, options (A), (B) and (E) are correct.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,