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:
[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Plug in values on the formula and solve for the distance, d:
[tex]\begin{gathered} d=\sqrt{(4-25)^2+(7-3)^2} \\ \\ d=\sqrt{(-21)^2+(4)^2} \\ \\ d=\sqrt{441+16} \\ \\ d=\sqrt{457} \end{gathered}[/tex]
Therefore, he distance between the points is:
[tex]\sqrt{457}[/tex]
ANSWER:
[tex]\sqrt{457}[/tex]
