1920m² = 1/2 × (a × 40) × 30
You asked:
Investigate the equation: \(1920 \cdot {m}^{2} = \frac{1}{2} \cdot a \cdot 40 \cdot 30\).
MathBot Answer:
The graph of the equation \(1920 \cdot {m}^{2} = \frac{1}{2} \cdot a \cdot 40 \cdot 30\) is a parabola.
The coordinates of its vertex are: \(\left(0, 0\right)\)
The coordinates of its focus are: \(\left(\frac{5}{64}, 0\right)\)
The directrix has equation: \(\frac{64 a}{5} + 1 = 0\).
The parabola has parameterization: \[\begin{aligned}a\left(\theta\right) &= \frac{16 \theta^{2}}{5}\\m\left(\theta\right) &= \theta\end{aligned}\]