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Home » \frac30210 = \frac17 - Baxtercollege

\frac30210 = \frac17 - Baxtercollege

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \[ 196 = 100 + 2ab \]

📌 \[ 2ab = 96 \]

📌 \[ ab = 48 \]

📌 Thus, the area of the triangle is:

📌 \[ A = \frac{1}{2} \times 48 = 24 \]

📌 \[ \text{Area of circle} = \pi r^2 = \pi \times 2^2 = 4\pi \]

📌 The ratio of the area of the circle to the area of the triangle is:

📌 \[ \frac{4\pi}{24} = \frac{\pi}{6} \]

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The sum of all real solutions to the equation \( |2x - 5| = |x + 3| \)...
Use the property \( |A| = |B| \Rightarrow A = B \) or \( A = -B \).
Case 1: \( 2x - 5 = x + 3 \Rightarrow x = 8 \)
Check: LHS = |16 - 5| = 11, RHS = |8 + 3| = 11 → valid.
Case 2: \( 2x - 5 = -(x + 3) \Rightarrow 2x - 5 = -x - 3 \Rightarrow 3...
Check: LHS = |4/3 - 5| = |-11/3| = 11/3, RHS = |2/3 + 3| = |11/3| = 11...
Sum = \( 8 + \frac{2}{3} = \frac{24}{3} + \frac{2}{3} = \frac{26}{3} \...
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A circle with center at (2, -3) passes through the point (5, 1). What...
Use distance formula:

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+ 2 + c = 6 \\
+ c = 6 \\
c = 3
Thus, the values are \( a = 1 \), \( b = 2 \), and \( c = 3 \).
\boxed{(1, 2, 3)}
Question:** An angel investor is evaluating a startup's growth model,...
Solution:** We know the cubic polynomial \( f(t) = t^3 + pt^2 + qt + r...
\( f(0) = 2 \) implies \( r = 2 \).
\( f(1) = 0 \) implies \( 1 + p + q + r = 0 \).
\( f(2) = -2 \) implies \( 8 + 4p + 2q + r = -2 \).

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