3x? + 3y? – 30x – 6y + 3 = 0 is the equation of a circle with center (h, k) and radius r for: - h = and k = and

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Please do it as is shown like in the textbook to get a better understanding thank you.

The given equation is \(3x^2 + 3y^2 - 30x - 6y + 3 = 0\), which represents the equation of a circle. To find the center \((h, k)\) and the radius \(r\) of the circle, you need to determine the values of:

\[
h = \text{(value of \(x\)-coordinate of the center)}
\]

and

\[
k = \text{(value of \(y\)-coordinate of the center)}
\]

and

\[
r = \text{(radius of the circle)}
\]

Please fill in the blanks with the calculated values for \(h\), \(k\), and \(r\).
Transcribed Image Text:The given equation is \(3x^2 + 3y^2 - 30x - 6y + 3 = 0\), which represents the equation of a circle. To find the center \((h, k)\) and the radius \(r\) of the circle, you need to determine the values of: \[ h = \text{(value of \(x\)-coordinate of the center)} \] and \[ k = \text{(value of \(y\)-coordinate of the center)} \] and \[ r = \text{(radius of the circle)} \] Please fill in the blanks with the calculated values for \(h\), \(k\), and \(r\).
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