Question

Fiona is playing Fetch with her dog she is standing at the coordinate points (7, -5) when she throws the stick, it lands at the coordinate point (-1, 10). How far did Fiona throw the stick

Answer 1

Fiona threw the stick 17 units far

Step-by-step explanation:

To know how far Fiona threw the stick, we find the distance between the given coordinate points, (7, -5) and (-1, 10)

The formula for the distance between two coordinate points is:

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

Here,

`\begin{gathered} x_1=7 \\ y_1=-5 \\ x_2=-1 \\ y_2=10 \end{gathered}`

Now,

`\begin{gathered} D=\sqrt[]{(-1-7)^2+(10-(-5))^2} \\ =\sqrt[\square]{(-8)^2+(15)^2} \\ =\sqrt[\square]{64+225} \\ =\sqrt[\square]{289} \\ =17 \end{gathered}`

Therefore, Fiona threw the stick 17 units far