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Home » The radius $ r $ of the inscribed circle in a right triangle is: - Treasure Valley Movers

The radius $ r $ of the inscribed circle in a right triangle is: - Treasure Valley Movers

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 x = \frac{2}{3}

📌 Now substitute \(x = \frac{2}{3}\) back into one of the original equations, say \(y = 2x + 3\):

📌 y = 2\left(\frac{2}{3}\right) + 3 = \frac{4}{3} + 3 = \frac{4}{3} + \frac{9}{3} = \frac{13}{3}

📌 Thus, the intersection point is \(\left(\frac{2}{3}, \frac{13}{3}\right)\).

📌 \boxed{\left(\frac{2}{3}, \frac{13}{3}\right)}

📌 A plant biologist is analyzing the effect of a nutrient on plant growth and models the relationship using the equation \(a(a+b) = 2a + 3b\). If \(a = 2\), find the value of \(b\).

📌 Substitute \(a = 2\) into the equation \(a(a+b) = 2a + 3b\):

📌 2(2+b) = 2(2) + 3b

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