Find the standard form for the equation of a circle (z – h)² + (y – k)² = r? with a diameter that has endpoints (- 7, - 8) and (5, - 8). h = k : %3D Question Help: Dyideo 1 CVideo 2 MMessage instructor Submit Question
Find the standard form for the equation of a circle (z – h)² + (y – k)² = r? with a diameter that has endpoints (- 7, - 8) and (5, - 8). h = k : %3D Question Help: Dyideo 1 CVideo 2 MMessage instructor Submit Question
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 13**
Find the standard form for the equation of a circle \((x - h)^2 + (y - k)^2 = r^2\) with a diameter that has endpoints \((-7, -8)\) and \( (5, -8)\).
\[
\begin{align*}
h = & \ \\
k = & \ \\
r = & \
\end{align*}
\]
Submit your answers in the provided fields.
*For additional help, you can watch Video 1, Video 2, or message your instructor.*
**Instructions:**
1. **Identify the center** of the circle, \((h, k)\), by finding the midpoint of the diameter endpoints.
2. **Calculate the radius** \(r\) by finding the distance between one of the endpoints and the center of the circle.
3. **Substitute** the values for \(h\), \(k\), and \(r\) into the circle's standard equation.
Click "Submit Question" when you are ready to submit your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0aec33da-7e9a-4f18-8fb9-9cc4b6ca964e%2F55c3e4bb-72f1-4bef-a954-67ed3f285314%2Fw55op78_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 13**
Find the standard form for the equation of a circle \((x - h)^2 + (y - k)^2 = r^2\) with a diameter that has endpoints \((-7, -8)\) and \( (5, -8)\).
\[
\begin{align*}
h = & \ \\
k = & \ \\
r = & \
\end{align*}
\]
Submit your answers in the provided fields.
*For additional help, you can watch Video 1, Video 2, or message your instructor.*
**Instructions:**
1. **Identify the center** of the circle, \((h, k)\), by finding the midpoint of the diameter endpoints.
2. **Calculate the radius** \(r\) by finding the distance between one of the endpoints and the center of the circle.
3. **Substitute** the values for \(h\), \(k\), and \(r\) into the circle's standard equation.
Click "Submit Question" when you are ready to submit your answer.
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