Answer:
Explanation:
To determine the coordinates of the center of the hyperbola with the equation:
(y + 3)^2/25 - (x - 4)^2/36 = 1
We can compare it to the standard form equation of a hyperbola:
(y - k)^2/a^2 - (x - h)^2/b^2 = 1
In the given equation, we have (y + 3)^2/25 - (x - 4)^2/36 = 1. Comparing this to the standard form, we can identify the center as (h, k), where h = 4 and k = -3.
Therefore, the coordinates of the center of the hyperbola are (4, -3).