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All points between two given points, including the endpoints, can be represented as a continuous set of points along the line segment that connects them. If the two points are defined by their coordinates, say Point A (x1, y1) and Point B (x2, y2), the points can be expressed parametrically as (x(t), y(t)) = (x1 + t(x2 - x1), y1 + t(y2 - y1)) for t values ranging from 0 to 1. At t=0, the point is A, and at t=1, the point is B. Thus, the entire range from A to B is covered as t varies between 0 and 1.
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What do all points between two given points on a line form?
Normally a straight line segment.
What does chord means in math terms?
A chord is a line segment between two points on a given curve. Basically it's two points that are connected with a line which all happens to be on a curve. Most likely a circle
The locus of all points that are the same distance from two given points is a .?
The locus of all points that are the same distance from two given points is a perpendicular bisector of the line segment connecting those two points. This line is equidistant from each of the two points at all locations along its length.
What is a solid bounded by the set of all points of a given distance from a given point?
A solid bounded by the set of all points at a given distance from a specific point is called a sphere. The center of the sphere is the given point, and the radius is the specified distance. All points on the surface of the sphere are equidistant from the center, creating a three-dimensional shape.
What solid is bounded by the set of all points at a given distance from a given point?
sphere
What do all points between two given points on a line form?
Normally a straight line segment.
Which is a solid bounded by the set of all points at a given distance from a given point?
A sphere is a solid bounded by the set of all points at a given distance from a given point.
What does chord means in math terms?
A chord is a line segment between two points on a given curve. Basically it's two points that are connected with a line which all happens to be on a curve. Most likely a circle
Which geometric object is defined as the set if all points in a plane at a given distance at a given point?
A circle is the set of all points in a plane at a given distance FROM a given point, which is known as the circle's center.
The locus of all points that are the same distance from two given points is a .?
The locus of all points that are the same distance from two given points is a perpendicular bisector of the line segment connecting those two points. This line is equidistant from each of the two points at all locations along its length.
Locus of all points which are the same distance from two given points?
line
A set of points that are ALL THE same distance from a given point?
The set of all points a given distance from a center point is a circle. The given distance is the radius, and the given point is the center. Or, in 3 dimensional space, a sphere.
What solid is bounded by the set of all points at a given distance from a given point?
sphere
What is a solid bounded by the set of all points of a given distance from a given point?
A solid bounded by the set of all points at a given distance from a specific point is called a sphere. The center of the sphere is the given point, and the radius is the specified distance. All points on the surface of the sphere are equidistant from the center, creating a three-dimensional shape.
The locus of all points which are the same distance from two given points describes a?
Straight line
Sets that cover a range of points including those between isolated points and cannot be written as lists are called sets.?
The description you've provided refers to "intervals" or "continuous sets" in mathematics. These sets include all points within a certain range and cannot be expressed as finite or countable lists of elements. For example, the set of all real numbers between two endpoints is an interval that includes all values in that range, including those between isolated points. This concept is crucial in calculus and real analysis, where continuity and limits are fundamental.
What is the set of all points a given distance from a fixed point?
The set of all points a given distance from a center point is a circle. The given distance is the radius, and the given point is the center. In 3 dimensional space, the set would be the surface of a sphere.
