The center of a circle is at (2, 3) and its radius is 4 units. derive the equation of the circle using the pythagorean theorem. show all your work! omg me imao

( x - a)^2 + (y - b)^2 = r^2

where (a,b) is the center of the circle and r = radius.

so the answer is  

( x - 2)^2 + (y - 3)^2 = 16

Step-by-step explanation:

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

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.