The same as the major axis.
a - b
Get some graph paper, draw two axes and bisect them with a 45 degree sloping line. Next pick any point on that 45 degree sloping line and from that point draw a line parallel to the horizontal axis so that it intersects the vertical axis. Do the same thing from the point drawing a line parallel with the vertical axis so that it intersects the horizontal axis. These two lines represent represent the components of your vector and if you measure them they will be of equal length and thus of equal magnitude. For ANY angle of slope (other than 45 degrees) the two vectors will not be of equal length.
x2/82 + y2/242 = 1
By taking a coordinate system with origin at the center of the ellipse, and x-axis along the major axis, and y-axis along the minor axis, then the ellipse intercepts the x-axis at -5 and 5, and the y-axis at -2 and 2. So that the equation of the ellipse x2/a2 + y2/b2 = 1 becomes x2/52 + y2/22 = 1 or x2/25 + y2/4 = 1.
An oval, or more technically an ellipse, has a long ( major) axis and short (minor axis). If major axis length is a and minor length is b, then area, A is A = pi*a*b /4 where and so the area of half an oval is pi*a*b/8
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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).
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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.
a - b
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.
you
I suggest that the answer is that the statement is false.
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