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 \(r\).

Answered: 3x? + 3y? – 30x – 6y + 3 = 0 is the…

Math

Algebra

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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Question

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 \(r\).

Expert Solution

Step 1

Given the equation of circle , need to find its centre and radius.

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