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Home » This is a quadratic equation, which can be factored as: - High Altitude Science

This is a quadratic equation, which can be factored as: - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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🔥 Popular Posts

A = I + \frac{B}{2} - 1
where $A$ is area, $I$ is interior lattice points, and $B$ is boundary...
A = \frac{\sqrt{3}}{4} \cdot 6^2 = \frac{\sqrt{3}}{4} \cdot 36 = 9\sqr...
Now, determine $B$: the number of lattice points on the boundary. Each...
B = 3 \cdot 7 - 3 = 21 - 3 = 18
Now apply Pick’s Theorem:
9\sqrt{3} = I + \frac{18}{2} - 1 = I + 9 - 1 = I + 8
I = 9\sqrt{3} - 8
But $I$ must be an integer, and $9\sqrt{3} \approx 9 \cdot 1.732 = 15....
Instead, interpret the problem as a combinatorial lattice: suppose the...

📝 Recent Posts

The sum of the first \( n \) positive integers is 210. Find \( n \).
The sum of the first \( n \) integers is given by \( \frac{n(n+1)}{2}...
Solutions are \( n = 20 \) or \( n = -21 \).
Since \( n \) must be positive, \( n = 20 \).
A rectangular prism has a volume of 240 cubic units. Its length is 10...
Volume is given by \( \text{length} \times \text{width} \times \text{h...
Substitute known values: \( 10 \times 6 \times \text{height} = 240 \).
Simplify: \( 60 \times \text{height} = 240 \).
Solve for height: \( \text{height} = \frac{240}{60} = 4 \) units.
A number is increased by 20% and then decreased by 25%. If the final r...

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