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\boxed10\pi x^2 - Leaselab

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 #### 29, 16

📌 Un ballon est lancÃ© verticalement vers le haut avec une vitesse initiale de 24 m/s. En utilisant la formule h(t) = -4,9tÂ² + 24t, Ã quel moment le ballon atteint-il sa hauteur maximale ?

📌 La hauteur maximale se produit au sommet de la parabole : t = -b/(2a)

📌 Ici, a = -4,9, b = 24

📌 t = -24 / (2 Ã -4,9) = 24 / 9,8 â 2,45 secondes

📌 Le ballon atteint sa hauteur maximale aprÃ¨s environ 2,45 secondes.

📌 Dans une classe de 30 Ã©lÃ¨ves, 18 jouent au football, 15 jouent au basket, et 7 pratiquent les deux sports. Combien dâÃ©lÃ¨ves ne pratiquent aucun de ces sports ?

📌 Nombre dâÃ©lÃ¨ves jouant au football ou au basket = 18 + 15 - 7 = 26

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Now find \( b \):
b = -9a = -9 \left(-\frac{7}{6}\right) = \frac{63}{6} = \frac{21}{2}
Substitute \( a \) and \( b \) into \( 7a + 3b + c = -4 \):
7\left(-\frac{7}{6}\right) + 3\left(\frac{21}{2}\right) + c = -4
-\frac{49}{6} + \frac{63}{2} + c = -4
Convert to a common denominator:
-\frac{49}{6} + \frac{189}{6} + c = -4
\frac{140}{6} + c = -4 \implies \frac{70}{3} + c = -4
c = -4 - \frac{70}{3} = -\frac{12}{3} - \frac{70}{3} = -\frac{82}{3}
Finally, substitute \( a \), \( b \), and \( c \) into the first equat...

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