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x2 + 20x + y2 + 16y = −20
The equation above defines a circle in the xy-plane. What are the coordinates of the center of the circle?
The equation above defines a circle in the xy-plane. What are the coordinates of the center of the circle?
- a)(−20, −16)
- b)(−10, −8)
- c)(10, 8)
- d)(20, 16)
Correct answer is option 'B'. Can you explain this answer?
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x2 + 20x + y2 + 16y = −20The equation above defines a circle in ...
The standard equation of a circle in the xy-plane is of the form (x − h)2 + (y − k)2 = r2, where (h, k) are the coordinates of the center of the circle and r is the radius. To convert the given equation to the standard form, complete the squares. The first two terms need a 100 to complete the square, and the second two terms need a 64. Adding 100 and 64 to both sides of the given equation yields (x2 + 20x + 100) + (y2 + 16y + 64) = −20 + 100 + 64, which is equivalent to (x + 10)2 + (y + 8)2 = 144. Therefore, the coordinates of the center of the circle are (−10, −8).
Choice A is incorrect and is likely the result of not properly dividing when attempting to complete the square. Choice C is incorrect and is likely the result of making a sign error when evaluating the coordinates of the center. Choice D is incorrect and is likely the result of not properly dividing when attempting to complete the square and making a sign error when evaluating the coordinates of the center.
Choice A is incorrect and is likely the result of not properly dividing when attempting to complete the square. Choice C is incorrect and is likely the result of making a sign error when evaluating the coordinates of the center. Choice D is incorrect and is likely the result of not properly dividing when attempting to complete the square and making a sign error when evaluating the coordinates of the center.
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x2 + 20x + y2 + 16y = −20The equation above defines a circle in ...
The given expression is:
x^2 + 20x + y^2 + 16y
x^2 + 20x + y^2 + 16y
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x2 + 20x + y2 + 16y = −20The equation above defines a circle in the xy-plane. What are the coordinates of the center of the circle?a)(−20, −16)b)(−10, −8)c)(10, 8)d)(20, 16)Correct answer is option 'B'. Can you explain this answer?
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x2 + 20x + y2 + 16y = −20The equation above defines a circle in the xy-plane. What are the coordinates of the center of the circle?a)(−20, −16)b)(−10, −8)c)(10, 8)d)(20, 16)Correct answer is option 'B'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about x2 + 20x + y2 + 16y = −20The equation above defines a circle in the xy-plane. What are the coordinates of the center of the circle?a)(−20, −16)b)(−10, −8)c)(10, 8)d)(20, 16)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for x2 + 20x + y2 + 16y = −20The equation above defines a circle in the xy-plane. What are the coordinates of the center of the circle?a)(−20, −16)b)(−10, −8)c)(10, 8)d)(20, 16)Correct answer is option 'B'. Can you explain this answer?.
x2 + 20x + y2 + 16y = −20The equation above defines a circle in the xy-plane. What are the coordinates of the center of the circle?a)(−20, −16)b)(−10, −8)c)(10, 8)d)(20, 16)Correct answer is option 'B'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about x2 + 20x + y2 + 16y = −20The equation above defines a circle in the xy-plane. What are the coordinates of the center of the circle?a)(−20, −16)b)(−10, −8)c)(10, 8)d)(20, 16)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for x2 + 20x + y2 + 16y = −20The equation above defines a circle in the xy-plane. What are the coordinates of the center of the circle?a)(−20, −16)b)(−10, −8)c)(10, 8)d)(20, 16)Correct answer is option 'B'. Can you explain this answer?.
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