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Home » For \( g(x) = x^2 - 4x + 9k \): - Sterling Industries

For \( g(x) = x^2 - 4x + 9k \): - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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The area \(A_1\) of an equilateral triangle with side \(s\) is:
A_1 = \frac{\sqrt{3}}{4} s^2 = \frac{\sqrt{3}}{4} \times 6^2 = \frac{\...
If each side is increased by 2 cm, the new side length is \(8\) cm. Th...
A_2 = \frac{\sqrt{3}}{4} \times 8^2 = \frac{\sqrt{3}}{4} \times 64 = 1...
A_2 - A_1 = 16\sqrt{3} - 9\sqrt{3} = 7\sqrt{3} \text{ square cm}
Thus, the area increases by \(\boxed{7\sqrt{3}}\) square cm.
A rectangle with dimensions 3 cm by 4 cm is inscribed in a circle. Wha...
The diagonal of the rectangle is the diameter of the circle. Using the...
d = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5 \text{ cm}
The radius \(r\) of the circle is half of the diameter:

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