Question

what is the distance between points F(2,9) and G(4,14)? Round to the nearest whole number. Distance=[ ]

Answer 1

The distance between the two points to the nearest whole number is;

`\text{ Distance = 5}`

Step-by-step explanation:

Given the points;

`\begin{gathered} (x_1,y_1)=(2,9) \\ (x_2,y_2)=(4,14) \end{gathered}`

We want to find distance between the two points.

Using the formula;

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

Substituting the given coordinates;

`\begin{gathered} d=\sqrt[]{(4-2)^2+(14-9)^2} \\ d=\sqrt[]{(2)^2+(5)^2} \\ d=\sqrt[]{4+25} \\ d=\sqrt[]{29} \\ d=5.385 \\ d\approx5\text{ units} \end{gathered}`

Therefore, the distance between the two points to the nearest whole number is;

`\text{ Distance = 5}`