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Home » y = \fracx^2 + 1x^2 - 1 = 1 + \frac2x^2 - 1. - Nelissen Grade advocaten

y = \fracx^2 + 1x^2 - 1 = 1 + \frac2x^2 - 1. - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Using logarithmic properties: \( \log_2(x(x - 2)) = 3 \).

📌 Then, \( x^2 - 2x - 8 = 0 \).

📌 Factoring: \( (x - 4)(x + 2) = 0 \).

📌 So, \( x = 4 \) or \( x = -2 \).

📌 Since \( x > 2 \) for the logs to be defined, \( x = 4 \).

📌 A right triangle has legs of length 9 and 12. A circle is inscribed in the triangle. What is the radius of the circle?

📌 The area \( A = \frac{1}{2} \cdot 9 \cdot 12 = 54 \).

📌 The semi-perimeter \( s = \frac{9 + 12 + 15}{2} = 18 \), where 15 is the hypotenuse (via Pythagoras).

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