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qid 8046 · math

Question: Let $C$ be the circle with equation $x^2+12y+57=-y^2-10x$. If $(a,b)$ is the center of $C$ and $r$ is its radius, what is the value of $a+b+r$?

  1. 12
  2. -10
  3. -12
  4. -3
  5. -57
  6. -6
  7. 0
  8. -15
  9. -5
  10. -9

Our answer: J. -9 Source quote machine-checked (exact quote)

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How it was answered

Multi-step solver (maze), replayed by code

card: maze · card sha256 d42d21254fcde6c7…

Current source

Math Is Fun, "Equation of a Circle"

https://www.mathsisfun.com/algebra/circle-equations.html

“And that's the "Standard Form" for the equation of a circle!”

Source quote machine-checked (exact quote)

retrieved 2026-09-18T01:27:55.737Z

page text sha256 8c73923fd77e42a0… · content sha256 ef5dffe1ef8e0ac0…

addendum maze_qid8046_b4_maze_input_ADDENDUM_source_rs20260918T012755Z · sha256 072631b03dc4ad78… · replaces the version below, addendum sha256 d12680a0fc290aa6…

Earlier version (superseded)

https://www.mathsisfun.com/algebra/circle-equations.html

Source weak (http_get_200_text_and_question_terms)

retrieved 2026-09-17T23:24:32.794Z

page text sha256 c304fdc65775c9a8… · content sha256 —

addendum maze_qid8046_b4_maze_input_ADDENDUM_source_bf20260917T232432Z · sha256 d12680a0fc290aa6… · replaces the version below, addendum sha256 419dc12cff0a6128…

Earlier version (superseded)

No public source has been found for this card yet (3 places checked internally).

addendum maze_qid8046_b4_maze_input_ADDENDUM_source · sha256 419dc12cff0a6128…

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