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Please put the class in the subject area and please complete your question.
To determine the distance between two points, you need to know the coordinates of those points. With the coordinates, you can then use the distance formula to find the distance between the two points.
The distance formula is derived from the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In two-dimensional space, the distance formula can be written as:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Where:
- (x1, y1) are the coordinates of the first point
- (x2, y2) are the coordinates of the second point
- d is the distance between the two points
To calculate the distance, substitute the corresponding values into the formula and perform the necessary calculations.
For example, let's say you have two points: A(2, 3) and B(5, 7).
By substituting these values into the distance formula, you get:
d = sqrt((5 - 2)^2 + (7 - 3)^2)
d = sqrt(3^2 + 4^2)
d = sqrt(9 + 16)
d = sqrt(25)
d = 5
So the distance between points A and B is 5 units.