Question

Find the distance between the two ordered pairs (7,8) and (7,2)

Answer 1

To find the distance between the two ordered pairs \((7, 8)\) and \((7, 2)\), we can use the distance formula for two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

Plugging in our points \((x_1, y_1) = (7, 8)\) and \((x_2, y_2) = (7, 2)\):

\[
d = \sqrt{(7 - 7)^2 + (2 - 8)^2}
\]
\[
d = \sqrt{(0)^2 + (-6)^2}
\]
\[
d = \sqrt{0 + 36}
\]
\[
d = \sqrt{36}
\]
\[
d = 6
\]

Thus, the distance between the two points \((7, 8)\) and \((7, 2)\) is \(6\) units.