Question

Find the distance between the points T(13, 1.6) and V(5.4, 3.7).

Answer 1

The distance between the points is approximately 7.89 units

Step-by-step explanation:

The distance between two points is given by the formula:

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

Here:

`\begin{gathered} x_1=13 \\ y_1_{}=1.6 \\ x_2=5.4 \\ y_2=3.7 \end{gathered}`

Using these, we have:

`\begin{gathered} D=\sqrt[]{(5.4-13)^2+(3.7-1.6)^2} \\ \\ =\sqrt[]{(-7.6)^2+(2.1)^2} \\ \\ =\sqrt[]{57.76+4.41} \\ \\ =\sqrt[]{62.17} \\ \\ =7.89\text{ approximately} \end{gathered}`