A circle is centered at (-4, 6) and has a radius of 9. What is the equation of the circle?

C

Step-by-step explanation:

The standard equation for a circle is given by:

Where (h, k) is the center of the circle and r is the radius.

We want to find the equation of a circle that is centered on (-4, 6) and has a radius of 9 units.

Therefore, (h, k) = (-4, 6).

And r = 9.

By substitution:

Simplify. Hence, our equation is:

Our answer is C.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.