Sqr root of (x-4)^2 + y^2, what do we use this for?

Thread starter teng125
Start date Jan 18, 2006
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In summary, the square root of (x-4)^2 + y^2 is a formula commonly used in geometry and physics to calculate the distance between two points in a two-dimensional plane. It is directly related to the Pythagorean theorem and has various real-world applications in fields such as engineering, architecture, and astronomy. However, it has limitations in that it can only be used in two-dimensional space and assumes a flat surface without any obstacles. It may also not be applicable in situations where the distance between points is constantly changing.

Jan 18, 2006

teng125

does anybody knows what does the eqn such as sqr root of (x-4)^2 + y^2 use to find for??

pls help...

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Jan 18, 2006

fargoth

hmmm... the distance from the dot (4,0)?

Jan 18, 2006

teng125

oh...ya...thanx very much

1. What is the significance of finding the square root of (x-4)^2 + y^2?

The square root of (x-4)^2 + y^2 is often used in geometry and physics to calculate the distance between two points in a two-dimensional plane. It represents the length of the hypotenuse of a right triangle with sides of length (x-4) and y.

2. How is this formula related to the Pythagorean theorem?

The formula is a direct application of the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the square root of (x-4)^2 + y^2 represents the length of the hypotenuse.

3. Can this formula be used in three-dimensional space?

No, this formula only applies to two-dimensional space. In three-dimensional space, the distance between two points is calculated using the three-dimensional Pythagorean theorem, which involves finding the square root of the sum of the squares of all three sides.

4. What are some real-world applications of this formula?

The formula can be used in various fields such as engineering, architecture, and astronomy. It is used to calculate distances between objects, determine the magnitude and direction of forces, and find the shortest path between two points.

5. Are there any limitations to using this formula?

One limitation is that it can only be used for calculating distances in a two-dimensional plane. It also assumes that the points are located on a flat surface and does not account for any curvature or obstacles in the path. Additionally, it may not be applicable in situations where the distance between the points is constantly changing, such as in a moving object.