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Home » We apply the distributive property to expand the product: - Carbonext

We apply the distributive property to expand the product: - Carbonext

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 بعد 9 ساعات: \(400 \times 2 = 800\).

📌 يتكئ سلم طوله 10 أمتار على حائط، ويصل إلى ارتفاع 8 أمتار. ما المسافة بين قاعدة السلم والحائط؟

📌 استخدم نظرية فيثاغورس: \(10^2 = 8^2 + \text{القاعدة}^2\).

📌 \(100 = 64 + \text{القاعدة}^2\)، \(\text{القاعدة}^2 = 36\)، \(\text{القاعدة} = 6\).

📌 #### 6مستطيل طوله ضعف عرضه. إذا كان محيط المستطيل 60 سم، فما مساحة المستطيل؟

📌 لنفترض أن العرض هو x. إذن، الطول هو 2x.

📌 المحيط = 2 (الطول + العرض) = 2 (2x + x) = 6x = 60.

📌 إذن، x = 60 / 6 = 10.

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First, evaluate \( f(3) \):
f(3) = 2(3)^2 + 3(3) + c = 2 imes 9 + 9 + c = 18 + 9 + c = 27 + c
Next, evaluate \( g(3) \):
g(3) = 3(3)^2 + 2(3) + 2c = 3 imes 9 + 6 + 2c = 27 + 6 + 2c = 33 + 2c
Set \( f(3) = g(3) \):
+ c = 33 + 2c
- 33 = 2c - c \
The value of \( c \) is:
oxed{-6}

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