Check: \( 7^2 + 24^2 = 49 + 576 = 625 \).
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- Solving \( 32 = 8x \), divide by 8, \( x = 4 \).
- A triangle has sides of length 7, 24, and 25. Determine if it is a right triangle.
- Use the Pythagorean theorem: \( a^2 + b^2 = c^2 \) for a right triangle.
- Also, \( 25^2 = 625 \).
- Calculate the integral \( \int (4x^3 - 2x + 1) \, dx \).
- Integrate each term:
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