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"You Won’t Believe the Real Personalities Behind Woodstock Peanuts! - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The area of a triangle is given by the formula:

📌 A = \frac{1}{2} \times \text{base} \times \text{height}

📌 Initially, the base is 10 cm and the height is 8 cm, so the initial area \(A_1\) is:

📌 A_1 = \frac{1}{2} \times 10 \times 8 = 40 \text{ cm}^2

📌 When the base is reduced by 2 cm, the new base becomes \(10 - 2 = 8\) cm. The new area \(A_2\) is:

📌 A_2 = \frac{1}{2} \times 8 \times 8 = 32 \text{ cm}^2

📌 \Delta A = A_1 - A_2 = 40 - 32 = 8 \text{ cm}^2

📌 Thus, the area decreases by \(\boxed{8}\) square centimeters.

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Ahora sustituimos de nuevo en la identidad de la suma de cubos:
x^3 + y^3 = (x + y)(x^2 - xy + y^2) = 6(20 - 8) = 6 \times 12 = 72
Por lo tanto, el valor de $x^3 + y^3$ es $\boxed{72}$.
Pregunta: Si $a + b = 10$ y $a^2 + b^2 = 58$, encuentra $a^3 + b^3$.
Usamos la identidad para la suma de cubos:
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
Sabemos $a + b = 10$ y $a^2 + b^2 = 58$. Para encontrar $ab$, usamos:
10^2 = 58 + 2ab \implies 100 = 58 + 2ab \implies 2ab = 42 \implies ab...
Sustituimos en la identidad:
a^3 + b^3 = (10)(58 - 21) = 10 \times 37 = 370

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