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9. Find the x and y intercepts (if any) of the circle :32 + (y 4)2 = 9. In any case, show all your work.

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9. Find the x and y intercepts (if any) of the circle :32 + (y 4)2 = 9. In any case, show all your work. 10. Let C be the circle (as 2)2 + y2 = 4, and let L be the line y = 1 x. a) Sketch C and L together in the same coordinate plane. b) Find the point in the fourth quadrant Where L intersects C. 11. Find the equation of the circle that has its center in the third quadrant, is tangent to the yaxis at y = 3, and has area 12 square units. No decimals please. 12. Mathematical Modeling The effective broadcast area of a radio station is bounded by the circle 2:2 + y2 = 2, 500 where a: and y are measured in miles. Another radio station's broadcast area is bounded by the circle (cc 100)2 + (y 100)2 = 900 Is there any location that can receive both stations? Your argument must include a picture, mathemat ical computation, and written explanation. Hint Compare the distance D between the radio stations to the sum of their broadcast radii

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