Using the following equation, find the center and radius of the circle x^2-2x+y^2-6y=26 show work

The equation of a circle:

(h, k) - a coordinates of the center

r - a radius

We have:

We must Completing the Square:

the center: (1, 3)

the radius: 6

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

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.