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Home » To rationalize the denominator, multiply the numerator and denominator by \(\sqrt3\): - Midis

To rationalize the denominator, multiply the numerator and denominator by \(\sqrt3\): - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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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 area \( A = \frac{1}{2} \cdot 9 \cdot 12 = 54 \).
The semi-perimeter \( s = \frac{9 + 12 + 15}{2} = 18 \), where 15 is t...
The inradius \( r = \frac{A}{s} = \frac{54}{18} = 3 \).
The function \( f(x) = 2^{x} + 2^{-x} \) has a minimum value. What is...
Let \( y = 2^x \), so \( f(x) = y + \frac{1}{y} \).

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