Question

one application of the distance formula in biology is tracking the patterns of animals. in mathematics, the application of the distance formula enhances the understanding of geometric using algebraic methods. the distance between two points is calculated as the root of the sum of the squares of the differences in their coordinates.

Explanation:

1. In biology, the distance formula can be used to track movement patterns of animals by calculating distances between different locations they visit.
2. In mathematics, the distance formula helps in understanding geometric concepts like lengths of line - segments in a coordinate system using algebraic calculations.
3. The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$, which is the square - root of the sum of the squares of the differences in their coordinates.

Answer:

1. movement
2. concepts
3. square