SOLUTION: Find all points on the y-axis that are 6 units from the point (4, -3)

Question 700775: Find all points on the y-axis that are 6 units from the point (4, -3)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find all points on the y-axis that are 6 units from the point (4, -3)
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Equation of circle with center at (4,-3) and radius = 6.
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(x-4)^2 + (y+3)^2 = 36
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To find points on the y-axis, let x = 0.
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(-4)^2 + (y+3)^2 = 36
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(y+3)^2 = 20
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y+3 = sqrt(20) or y+3 = -sqrt(20)
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y = -3+2sqrt(5) or y = -3-2sqrt(5)
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Points: (0, -3+2sqrt(5)) and (0,-3-2sqrt(5))
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Cheers,
Stan H.
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