text: Intermediate Algebra (12th Edition)
  
  $(x+8)^2+(y+5)^2=5$
  $\bf{\text{Solution Outline:}}$ Use the Center-Radius Form of the equation of circles to get the equation with the given center, $C( -8,-5 ),$ and the given radius, $r= \sqrt{5} .$ $\bf{\text{Solution Details:}}$ With the given center, then $h= -8$ and $k= -5 .$ Using the Center-Radius Form of the equation of circles which is given by $(x-h)^2+(y-k)^2=r^2,$ the equation of the circle is \begin{array}{l}\require{cancel} (x-(-8))^2+(y-(-5))^2=(\sqrt{5})^2 \\\\ (x+8)^2+(y+5)^2=5 .\end{array}
explanation: The document provides a solution to a problem involving the equation of a circle. It outlines the steps to derive the equation of a circle given its center and radius. The text does not contain a question but rather a detailed solution.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Intermediate Algebra (12th Edition)
  
  $(x+8)^2+(y+5)^2=5$
  $\bf{\text{Solution Outline:}}$ Use the Center-Radius Form of the equation of circles to get the equation with the given center, $C( -8,-5 ),$ and the given radius, $r= \sqrt{5} .$ $\bf{\text{Solution Details:}}$ With the given center, then $h= -8$ and $k= -5 .$ Using the Center-Radius Form of the equation of circles which is given by $(x-h)^2+(y-k)^2=r^2,$ the equation of the circle is \begin{array}{l}\require{cancel} (x-(-8))^2+(y-(-5))^2=(\sqrt{5})^2 \\\\ (x+8)^2+(y+5)^2=5 .\end{array}
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document provides a solution to a problem involving the equation of a circle. It outlines the steps to derive the equation of a circle given its center and radius. The text does not contain a question but rather a detailed solution.
  
  Label: no-question