College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP Test with our comprehensive practice exam. Study with flashcards and multiple choice questions, each offering clues and detailed explanations. Achieve your best score and excel in your exam!

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Which of the following is the equation of a circle with a center at (3,4) and a radius of 5?

  1. (x - 3)2 + (y - 4)2 = 25

  2. (x + 3)2 + (y + 4)2 = 25

  3. (x - 3)2 + (y + 4)2 = 25

  4. (x + 3)2 + (y - 4)2 = 25

The correct answer is: (x + 3)2 + (y - 4)2 = 25

A. This equation has the center at (-3,-4) and a radius of 5, not at (3,4). B. This equation has the center at (-3,-4) and a radius of 5, not at (3,4). C. This equation has the center at (-3,4) and a radius of 5, not at (3,4). The equation for a circle with a center at (3,4) and a radius of 5 must have the form (x - h)2 + (y - k)2 = r2, where (h,k) is the center and r is the radius. Therefore, the correct equation is (x + 3)2 + (y - 4)2 = 25. It is important to note that the signs for h and k correspond to the signs

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