Answer:
4√2 units
Explanation:
To determine the distance between the points (3,4) and (-1,0), we use the distance formula below:
[tex]\text{Distance}=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex](x_1,y_1)=(3,4),(x_2,y_2)=(-1,0)[/tex]We substitute into the formula above:
[tex]\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}[/tex]