Question

What is the distance between points (3,4) and (-1,0)?

Answer 1

4√2 units

Step-by-step explanation:

To determine the distance between the points (3,4) and (-1,0), we use the distance formula below:

`\text{Distance}=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`
`(x_1,y_1)=(3,4),(x_2,y_2)=(-1,0)`

We substitute into the formula above:

`\begin{gathered} \text{Distance}=\sqrt[]{(-1-3)^2+(0-4)^2} \\ =\sqrt[]{(-4)^2+(-4)^2} \\ =\sqrt[]{16+16} \\ =\sqrt[]{32} \\ =4\sqrt[]{2}\text{ units} \end{gathered}`