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Home » Evaluate the second derivative at the critical points: - Portal da AcÃºstica

Evaluate the second derivative at the critical points: - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 5Pregunta: Un triángulo rectángulo tiene catetos de longitudes $ a $ y $ b $, y la hipotenusa $ c $. Si el inradio del triángulo es $ r $, ¿cuál es la relación entre el área del círculo inscrito y el área del triángulo?

📌 A) $ \frac{\pi r}{a + b - c} $

📌 B) $ \frac{\pi r^2}{r(a + b + c)/2} $

📌 C) $ \frac{\pi r^2}{ab} $

📌 D) $ \frac{\pi r}{a + b + c} $

📌 E) $ \frac{\pi r^2}{c^2} $

📌 Respuesta correcta: B) $ \frac{\pi r^2}{r(a + b + c)/2} $

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\[ (x + y) + (x - y) = 10 + 4 \]
\[ 2x = 14 \]
Substitute \( x = 7 \) into the first equation:
\[ 7 + y = 10 \]
\[ y = 3. \]
Now, calculate \( 3x + 2y \):
\[ 3(7) + 2(3) = 21 + 6 = 27. \]
The final answer is \(\boxed{27}\).
Find the \( y \)-intercept of the line given by \( 2x - 3y = 6 \).
To find the \( y \)-intercept, set \( x = 0 \) in the equation:

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