Math Problem Statement

The foci are on the x-axis, the x-intercepts are ±8 and the length of the latus rectum is 9

Solution

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Math Problem Analysis

Mathematical Concepts

Conic Sections
Hyperbolas
Ellipses

Formulas

Equation of a hyperbola: (x^2/a^2) - (y^2/b^2) = 1
Latus rectum formula for conic sections
Distance between foci formula: 2c, where c = √(a^2 + b^2) for hyperbolas

Theorems

Distance between foci and vertices in conic sections
Latus rectum properties

Suitable Grade Level

Grades 10-12

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