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san antonio 7 day weather report - Parker Core Knowledge

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 A quadratic equation \( ax^2 + bx + c = 0 \) has roots 3 and 5. If \( a = 2 \), find \( b \) and \( c \).

📌 Sum of roots is \( 3 + 5 = 8 \), so \( -\frac{b}{a} = 8 \).

📌 \( b = -8a = -8 \times 2 = -16 \).

📌 Product of roots is \( 3 \times 5 = 15 \), so \( \frac{c}{a} = 15 \).

📌 \( c = 15a = 15 \times 2 = 30 \).

📌 Therefore, \( b = -16 \) and \( c = 30 \).

📌 #### b = -16, c = 30

📌 A circle is inscribed in a square with side length 10 cm. What is the area of the region outside the circle but inside the square?

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