Question

Find the distance between:(4,-9) and(-8,0)Round your answer to the nearest hundredth.

Answer 1

The distance between 2 points (x1, y1) and (x2, y2) is calculated as:

`\text{distance}=√((x_2-x_1)^2+(y_2-y_1)^2)`

So, if we replace (x1, y1) by (4, -9) and (x2, y2) by (-8,0), we get:

`\begin{gathered} \text{distance}=√((-8-4)^2+(0-(-9))^2) \\ \text{distance}=√((-12)^2+(9)^2) \\ \text{distance}=√(144+81) \\ \text{distance}=√(225) \\ \text{distance}=15 \end{gathered}`

Answer: the distance is 15