Given the points:
(x1, y1) ==> (25, 3)
(x2, y2) ==> (4, 7)
Let's find the distance between the two points using the distance formula.
Apply the distance formula:
![d=√((x2-x1)^2+(y2-y1)^2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/zgmdlvr6pcsa6ew389pxm3rhvj825i1l4k.png)
Plug in values on the formula and solve for the distance, d:
![\begin{gathered} d=√((4-25)^2+(7-3)^2) \\ \\ d=√((-21)^2+(4)^2) \\ \\ d=√(441+16) \\ \\ d=√(457) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/7xy7xt5unw9u740jjizuaw035zv3s1d1k6.png)
Therefore, he distance between the points is:
![√(457)](https://img.qammunity.org/2023/formulas/mathematics/college/z7k8a06arr067bd47hw43pc844alvx2rfz.png)
ANSWER:
![√(457)](https://img.qammunity.org/2023/formulas/mathematics/college/z7k8a06arr067bd47hw43pc844alvx2rfz.png)