f (5, –2), (5, 4) are the vertices of a hyperbola, then center of hyperbola i
Question
f (5, –2), (5, 4) are the vertices of a hyperbola, then center of hyperbola i
Solution
The center of a hyperbola is the midpoint of the line segment connecting the two vertices.
Given the vertices (5, -2) and (5, 4), we can find the center by calculating the average of the x-coordinates and the y-coordinates separately.
The x-coordinate of the center is the average of the x-coordinates of the vertices, which is (5 + 5) / 2 = 5.
The y-coordinate of the center is the average of the y-coordinates of the vertices, which is (-2 + 4) / 2 = 1.
Therefore, the center of the hyperbola is (5, 1).
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