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Home » x^2 + 2x - 3 = 8 - Dyverse

x^2 + 2x - 3 = 8 - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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Use \( y(0) = 2 \): \( 2 = Ce^0 \Rightarrow C = 2 \).
So, \( y = 2e^{3x} \).
The solution is \( y = 2e^{3x} \).
#### \( 2e^{3x} \)
The sum of the first \( n \) terms of an arithmetic sequence is 210,
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R = 5 \text{ cm}
Since the square is inscribed in the circle, the diagonal of the squar...
\text{Diagonal} = 2R = 10 \text{ cm}
For a square with side $ s $, the diagonal is $ s\sqrt{2} $. Therefore...
s\sqrt{2} = 10 \Rightarrow s = \frac{10}{\sqrt{2}} = 5\sqrt{2}
The area of the square is:
s^2 = (5\sqrt{2})^2 = 25 \cdot 2 = 50
Thus, the area is $ \boxed{50} $.
Question: An equilateral triangle has an area of $ 36\sqrt{3} $ cm². I...
The area $ A $ of an equilateral triangle with side length $ s $ is:

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