Math Problem Statement
write an equation of the circle described. The circle is tangent to the x-axis at (4,0) and has y-intercepts -2 and -8
Solution
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Math Problem Analysis
Mathematical Concepts
Analytic Geometry
Equations of Circles
Coordinate Geometry
Formulas
Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2
Distance Formula: d = |y2 - y1|
Theorems
Properties of Tangent Lines
Definition of a Circle
Suitable Grade Level
Grades 9-12
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