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This ellipse has a horizontal axis of length 10 and a vertical axis of length 4 What is its equation?
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.
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This ellipse is centered at the origin and has a horizontal axis of length 16 and a vertical axis of length 24 What is its equation?
x2/82 + y2/242 = 1
Will a vector at 45 degree to the horizontal be larger or smaller than its horizontal and vertical component changes?
Larger by a factor of √2. If you draw a vector at 45°, then draw a vertical line from the end of that vector, you have a 45° right triangle. If you recall your trig. relationships, the hypotenuse of a 45° right triangle is √2 (or 1.414) times the length of either leg.
The horizontal change of a line?
The horizontal change is the change in x. If the line in horizontal then the horizontal change will just be its length.
Why will the horizontal and vertical components of a vector be equal in magnitude if the angle is 45 degrees?
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.
What is the difference between tall and long?
Tall means long, of comparatively greater length, in a vertical direction, or in elevation. In some dimensions, long refers to horizontal, e.g. a snake is long, a giraffe is tall.
This ellipse is centered at the origin and has a horizontal axis of length 26 and a vertical axis of length 12 What is its equation?
This ellipse is centered at the origin and has a horizontal axis of length 26 and a vertical axis of length 12 What is its equation?
This ellipse is centered at the point-3 -5 The length of its horizontal axis is 10 and the length of its vertical axis is 14 What is the ellipse's equation?
A
What is the equation for an ellipse that is centered at the origin and has a horizontal axis of length 6 and a vertical axis of length 4?
6*4
The ellipse graphed below has its center at -2 2 its horizontal axis is of length 6 and its vertical axis is of length 10 What is its equation?
23
This ellipse is centered at the origin and has a horizontal axis of length 10 and a vertical axis of length 18 What is its equation?
x2/52 + y2/93 = 1
This ellipse is centered at the origin and has a horizontal axis of length 16 and a vertical axis of length 24 What is its equation?
x2/82 + y2/242 = 1
This ellipse is centered at the origin and has a horizontal axis of length 14 and a vertical axis of length 10 What is its equation?
bx2/14 +y2/25 =1
This ellipse is centered at the origin and has a horizontal axis of length 16 and a vertical axis of length 8 What is its equation?
x2/82+y2/42=1
The ellipse is centered at the origin The length of its horizontal axis is 4 and the length of its vertical axis is 8 What is the equation for the ellipse?
X^2/2^2 + y^2/4^2 = 1
This ellipse is centered at the origin and has a horizontal axis of length 12 and a vertical axis of length 18 What is its equation?
Apexx2/36 + y2/81 = 1~PurpleLicious~
This ellipse is centered at the origin and has a horizontal axis of length 18 and a vertical axis of length 6 What is its equation?
apexx2/81 + y2/9 =1~PurpleLicious~
In the standard equation for an ellipse a is half the length of what axis?
Horizontal
