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princiebebe57
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How do you find the total width of the ellipse given by the equation 7x^2 + 7(y-6)^2 = 6?
An ellipse is a closed curve that is formed by the intersection of a plane and a cone. It is a symmetrical shape that resembles a flattened circle.
An ellipse is different from a circle in that it has two distinct and unequal axes, while a circle has only one axis of symmetry. In other words, an ellipse is more elongated or oval-shaped compared to a circle.
The key characteristics of an ellipse include its two foci, which are the fixed points inside the ellipse that determine its shape, and its major and minor axes, which are the two perpendicular lines that intersect at the center of the ellipse.
An ellipse has many applications in science, including in astronomy, where it is used to describe the orbits of planets around the sun. It is also used in optics to describe the shape of lenses and in engineering to design gears and other mechanical parts.
The general equation for an ellipse is (x^2/a^2) + (y^2/b^2) = 1, where a and b are the lengths of the semi-major and semi-minor axes, respectively. This equation can be modified to fit specific ellipses based on their center, orientation, and size.