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Home » Let the distance be \(d\). - DNSFLEX

Let the distance be \(d\). - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 y = 2(x - 2)^2 - 3

📌 #### \( y = 2(x - 2)^2 - 3 \)

📌 دائرة مركزها (1, -2) وتمر بالنقطة (4, 2). ما هو نصف قطرها؟

📌 يُوجد نصف القطر \( r \) باستخدام صيغة المسافة:

📌 r = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

📌 r = \sqrt{(4 - 1)^2 + (2 + 2)^2} = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5

📌 خزان أسطواني نصف قطره 5 وحدات ونصف ممتلئ بسائل. إذا كانت المساحة المقطعية للخزان 50 وحدة مربعة

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#### 30.96
A company produces widgets with a cost function \( C(x) = 50x + 2000 \...
Set \( C(x) = R(x) \): \( 50x + 2000 = 80x \).
Solving for \( x \), \( 2000 = 30x \) gives \( x = \frac{2000}{30} \ap...
Since \( x \) must be whole, the company breaks even at 67 widgets.
#### 67
A train travels from City A to City B at 60 km/h and returns at 90 km/...
Let the distance be \( d \).
Time from A to B is \( \frac{d}{60} \) hours, and return time is \( \f...
Total time: \( \frac{d}{60} + \frac{d}{90} = 5 \).

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