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TPate
I suggest that the answer is that the statement is false.
7
x2/132-y2/152=1
The transverse axis.
It is the conjugate axis or the minor axis.
The same as the major axis.
difference between
difference between
The length of the transverse axis of a hyperbola is determined by the value of (2a), where (a) is the distance from the center to each vertex along the transverse axis. In the standard forms of hyperbolas, such as ((x-h)^2/a^2 - (y-k)^2/b^2 = 1) or ((y-k)^2/a^2 - (x-h)^2/b^2 = 1), (a) represents this distance. Therefore, to find the length of the transverse axis, you would use the expression (2a).
The transverse axis of a hyperbola is equal to the length of the red line segment, which represents the distance between the vertices. Therefore, the length of the transverse axis is 15. The length of the blue line segment is not relevant to this measurement.
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The length of the transverse axis of a hyperbola is given by the expression ( 2a ), where ( a ) is the distance from the center of the hyperbola to each vertex along the transverse axis. For a hyperbola centered at the origin with the standard form ( \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 ) (horizontal transverse axis) or ( \frac{y^2}{a^2} - \frac{x^2}{b^2} = 1 ) (vertical transverse axis), the value of ( a ) determines the extent of the transverse axis. Thus, the transverse axis length varies directly with ( a ).
The length of the transverse axis of a hyperbola is determined by the distance between the two vertices, which are located along the transverse axis. For a hyperbola defined by the equation ((y - k)^2/a^2 - (x - h)^2/b^2 = 1) (vertical transverse axis) or ((x - h)^2/a^2 - (y - k)^2/b^2 = 1) (horizontal transverse axis), the length of the transverse axis is (2a), where (a) is the distance from the center to each vertex.
The length of the transverse axis of a hyperbola depends on the specific equation of the hyperbola. For a standard hyperbola in the form ((y-k)^2/a^2 - (x-h)^2/b^2 = 1) (vertical transverse axis) or ((x-h)^2/a^2 - (y-k)^2/b^2 = 1) (horizontal transverse axis), the length of the transverse axis is (2a), where (a) is the distance from the center to each vertex along the transverse axis. Thus, to find the length, identify the value of (a) from the equation.
a - b
In an ellipse, the length of the transverse axis is equal to the distance between the two vertices along the major axis, while the red line segment likely represents the length of the semi-major axis. If the transverse axis is 6, the semi-major axis is 3. The blue line segment, which could represent the semi-minor axis, can be found using the relationship of the ellipse, but without additional information about the ellipse's dimensions or orientation, its length cannot be determined with certainty. More context is needed to provide a specific answer.
To determine the length of the blue line segment, we need to understand the context of the transverse axis and the red line segment. If the red line segment represents the length of the major axis of an ellipse, and the transverse axis is the distance across the ellipse at its widest point, then the blue line segment could be half the length of the transverse axis. However, without additional information about the relationship between these segments, a precise length for the blue line segment cannot be determined.