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