Question

Find the distance between each pair of points using the distance formula - round to the nearest 10th

Answer 1

Step-by-step explanation: Below we have the distance formula

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

Step 1: Now let's identify the values of the variable as follows

Step 2: Now we can substitute the values on the distance formula as follows

`\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt[]{(-4_{}-(-2))^2+(4_{}-0_{})^2} \\ d=\sqrt[]{(-4_{}+2)^2+(4_{}_{})^2} \\ d=\sqrt[]{(-2)^2+16^{}} \\ d=\sqrt[]{4^{}+16} \\ d=\sqrt[]{20} \\ d=4.472135955 \\ d\cong4.5 \end{gathered}`

Final answer: So the distance between the pair of points rounded to the nearest tenth is 4.5