Question

Find the distance between the points (0, 10) and (8,6).Round to the nearest hundredth.The distance between them isunits.

Answer 1

8.94 units

Step-by-step explanation

We want to find the distance between the points (0, 10) and (8, 6).

To do that, we will use the formula for the distance between two points:

`D\text{ = }\sqrt[]{(x2-x1)^2+(y2-y1)^2}`

where (x1, y1) = (0, 10)

(x2, y2) = (8, 6)

Therefore, the distance between them is:

`\begin{gathered} D\text{ = }\sqrt[]{(8-0)^2+(6-10)^2} \\ D\text{ = }\sqrt[]{8^2+(-4)^2} \\ D\text{ = }\sqrt[]{64\text{ + 16}} \\ D\text{ = }\sqrt[]{80} \\ D\text{ = 8.94 units} \end{gathered}`