Question

Whats the distance between G and O on a graph G; 3,5 O; 5,1

Answer 1

To find the distance between the points \( G (3, 5) \) and \( O (5, 1) \) on a Cartesian coordinate plane, you can use the distance formula:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

Here, \( G (x_1, y_1) = (3, 5) \) and \( O (x_2, y_2) = (5, 1) \).

Substituting the coordinates into the formula:

\[
d = \sqrt{(5 - 3)^2 + (1 - 5)^2}
\]

Calculating the differences:

\[
d = \sqrt{(2)^2 + (-4)^2}
\]
\[
d = \sqrt{4 + 16}
\]
\[
d = \sqrt{20}
\]
\[
d = 2\sqrt{5}
\]

Thus, the distance between points \( G \) and \( O \) is \( 2\sqrt{5} \) units.