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Name: Date: Period: Distance and Midpoint Formula: Distance Formula: (x 2 + x1 y 2 + y1, d (x2 x1) 2 + (y2 y1) 2 2 2 You are planning a trip across the US, you have to travel through at least 10 states.
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How to fill out distance and midpoint

01
To fill out the distance, you need the coordinates of two points. Subtract the x-coordinate of the first point from the x-coordinate of the second point and square it. Then, subtract the y-coordinate of the first point from the y-coordinate of the second point and square it. Add the squared values together and take the square root of the result. This will give you the distance between the two points.
02
To fill out the midpoint, you also need the coordinates of two points. Add the x-coordinates of both points together and divide the sum by 2. Similarly, add the y-coordinates of both points together and divide the sum by 2. The resulting values will give you the midpoint coordinates.

Who needs distance and midpoint?

01
Distance and midpoint calculations are used in various fields such as mathematics, physics, engineering, and computer science.
02
In mathematics, distance between points is fundamental in analyzing geometric shapes and solving equations. Midpoint is often used in geometry and trigonometry.
03
In physics, distance and midpoint calculations are relevant in studying the motion of objects and analyzing the position of particles.
04
Engineers use these calculations to determine distances between structures, analyze forces, and plan routes for constructions.
05
In computer science, distance and midpoint calculations are used in various algorithms, such as pathfinding algorithms, spatial analysis, and image processing.
06
Students, researchers, professionals, and anyone working with coordinates and spatial data may need distance and midpoint calculations.
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Distance is the measure of how far apart two points are while midpoint is the point that is exactly halfway between two other points.
Anyone dealing with measurements in mathematics, science, or engineering may be required to calculate and report distance and midpoint.
To calculate distance, use the distance formula which is the square root of the sum of the squares of the differences in the coordinates. To find the midpoint, average the x-coordinates and y-coordinates of the two points.
The purpose of calculating distance and midpoint is to determine the spatial relationship between two points and gain a better understanding of their positions relative to each other.
The coordinates of the two points, the calculated distance between them, and the coordinates of the midpoint should be reported when dealing with distance and midpoint.
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