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Home » Solution: We solve the system of congruences: - Abbey Badges

Solution: We solve the system of congruences: - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 A parabola has its vertex at the origin and passes through the point (4, 16). What is the equation of the parabola?

📌 The general form is \( y = ax^2 \).

📌 Substitute the point (4, 16): \( 16 = a \times 4^2 \).

📌 Solve for \( a \): \( 16 = 16a \) so \( a = 1 \).

📌 The equation is \( y = x^2 \).

📌 #### \( y = x^2 \)

📌 A triangle has sides of lengths 7, 24, and 25. Determine if it is a right triangle and find the area.

📌 Area of a right triangle: \( \frac{1}{2} \times \text{base} \times \text{height} \).

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