Exactly.Office_Shredder said:
A fixed point in algebra is a specific point on a graph or coordinate system that does not change when a transformation or operation is applied. It is often represented by a dot or a letter, such as "P".
The distance from a fixed point in algebra is calculated using the Pythagorean theorem, which states that the square of the hypotenuse (longest side) of a right triangle is equal to the sum of the squares of the other two sides. In this case, the fixed point acts as one of the vertices of the triangle and the distance is calculated using the coordinates of the other point.
The formula for finding the distance from a fixed point is: d = √((x2-x1)^2 + (y2-y1)^2), where (x1,y1) represents the coordinates of the fixed point and (x2,y2) represents the coordinates of the other point.
No, the distance from a fixed point cannot be negative. Distance is always a positive value, as it represents the length between two points on a graph or coordinate system.
The concept of distance from a fixed point is used in various fields, such as navigation, engineering, and physics. For example, in navigation, the distance between a ship and a lighthouse can be calculated using the coordinates of the fixed point (lighthouse) and the ship's current location. In engineering, the distance from a fixed point can be used to determine the size and placement of structures. In physics, the distance from a fixed point can represent the displacement of an object from its original position.