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DISCOVER WRITE: Do the Circles Intersect? (a) Find the radius of each circle in the pair and the dis- tance between their centers; then use this information to determine whether the circles intersect. (i) (x - 2)2 + (y – 1)? = 9; (x - 6) + (y - 4)2 = 16 (ii) x? + (y - 2)² = 4; (x - 5)2 + (y - 14)² = 9 (iii) (x - 3)2 + (y + 1)2 = 1: (x - 2)2 + (y - 2)? = 25 (b) How can you tell, just by knowing the radii of two cir- cles and the distance between their centers, whether the circles intersect? Write a short paragraph describing how you would decide this, and draw graphs to illus- trate your answer.

DISCOVER WRITE: Do the Circles Intersect? (a) Find the radius of each circle in the pair and the dis- tance between their centers; then use this information to determine whether the circles intersect. (i) (x - 2)2 + (y – 1)? = 9; (x - 6) + (y - 4)2 = 16 (ii) x? + (y - 2)² = 4; (x - 5)2 + (y - 14)² = 9 (iii) (x - 3)2 + (y + 1)2 = 1: (x - 2)2 + (y - 2)? = 25 (b) How can you tell, just by knowing the radii of two cir- cles and the distance between their centers, whether the circles intersect? Write a short paragraph describing how you would decide this, and draw graphs to illus- trate your answer.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 12T
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DISCOVER WRITE: Do the Circles Intersect? (a) Find the radius of each circle in the pair and the dis- tance between their centers; then use this information to determine whether the circles intersect. (i) (x - 2)2 + (y – 1)? = 9; (x - 6) + (y - 4)2 = 16 (ii) x? + (y - 2)² = 4; (x - 5)2 + (y - 14)² = 9 (iii) (x - 3)2 + (y + 1)2 = 1: (x - 2)2 + (y - 2)? = 25 (b) How can you tell, just by knowing the radii of two cir- cles and the distance between their centers, whether the circles intersect? Write a short paragraph describing how you would decide this, and draw graphs to illus- trate your answer.
Transcribed Image Text:DISCOVER WRITE: Do the Circles Intersect? (a) Find the radius of each circle in the pair and the dis- tance between their centers; then use this information to determine whether the circles intersect. (i) (x - 2)2 + (y – 1)? = 9; (x - 6) + (y - 4)2 = 16 (ii) x? + (y - 2)² = 4; (x - 5)2 + (y - 14)² = 9 (iii) (x - 3)2 + (y + 1)2 = 1: (x - 2)2 + (y - 2)? = 25 (b) How can you tell, just by knowing the radii of two cir- cles and the distance between their centers, whether the circles intersect? Write a short paragraph describing how you would decide this, and draw graphs to illus- trate your answer.
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