Task 914
Task 914: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Let $F 1 = (0,1)$ and $F 2= (4,1).$ Then the set of points $P$ such that \ PF 1 + PF 2 = 6\ form an ellipse. The equation of this ellipse can be written as \ \frac{(x - h)^2}{a^2} + \frac{(y -…
The task
Let $F_1 = (0,1)$ and $F_ 2= (4,1).$ Then the set of points $P$ such that \[PF_1 + PF_2 = 6\]form an ellipse. The equation of this ellipse can be written as \[\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1.\]Find $h + k + a + b.$