Maths is an essential subject in our lives and it is important to understand the basics of maths as early as possible. Homework 3 is a great way to gain an understanding of the distance and midpoint formulas. It is an important part of the maths curriculum and it is essential that students understand how to apply the formulas in order to get the correct answer. This article will provide a comprehensive answer key for homework 3, helping students understand the distance and midpoint formulas.

## Distance Formula

The distance formula is used to calculate the distance between two points in a coordinate plane. The formula is written as: d = √(x2-x1)2+(y2-y1)2. To use this formula, a student must first identify the coordinates of each point. Then, they can substitute the coordinates into the formula and calculate the distance between the two points. For example, if the coordinates of the two points are (3,4) and (5,7), then the distance between them is 2.8.

## Midpoint Formula

The midpoint formula is used to calculate the midpoint between two points in a coordinate plane. The formula is written as: M(x,y) = (x1+x2/2,y1+y2/2). To use this formula, a student must first identify the coordinates of each point. Then, they can substitute the coordinates into the formula and calculate the midpoint between the two points. For example, if the coordinates of the two points are (3,4) and (5,7), then the midpoint between them is (4,5.5).

## Example Question

Now that we understand the distance and midpoint formulas, let’s look at an example question. Suppose we need to find the distance and midpoint between the following two points: (2,5) and (7,9). First, we need to substitute the coordinates into the distance and midpoint formulas. The distance between these two points is 6.7, while the midpoint is (4.5,7). This example demonstrates how to use the distance and midpoint formulas to answer a maths question.

## Conclusion

Homework 3 is an essential part of the maths curriculum and it is important that students understand how to use the distance and midpoint formulas. This article provides a comprehensive answer key for homework 3, helping students understand how to use the distance and midpoint formulas to answer questions. By understanding the concepts presented in this article, students can successfully complete their homework 3 and gain a deeper understanding of the distance and midpoint formulas.

Homework 3 is a great way to understand the distance and midpoint formulas. This article provides a comprehensive answer key for homework 3, helping students understand how to use the formulas and apply them to answer questions. By grasping the concepts presented in this article, students can confidently complete their homework 3 and gain a better understanding of the distance and midpoint formulas.