Question

Find the distance between the two points, and round your answer to the nearest hundredth. Show all steps, work and calculations to earn full credit.(19,12) and (41,71)

Answer 1

The formula used to calculate the distance between two different points in the Cartesian plane is the following:

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

Replacing the 2 points

`\begin{gathered} d=\sqrt[]{(41_{}-19_{})^2+(71_{}-12_{})^2} \\ d=\sqrt[]{(22)^2+(59)^2}^{} \\ d=\sqrt[]{484+3481} \\ d=\sqrt[]{3965} \\ d=62.97 \end{gathered}`

So the distance between those 2 points is d=62.97