Question

Find the distance
(1,0) (0,-6)

Answer 1

To find the distance between the two points \((1, 0)\) and \((0, -6)\), we can use the distance formula:

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

Here, \((x_1, y_1) = (1, 0)\) and \((x_2, y_2) = (0, -6)\). Plugging in the values:

\[
d = \sqrt{(0 - 1)^2 + (-6 - 0)^2}
\]
\[
= \sqrt{(-1)^2 + (-6)^2}
\]
\[
= \sqrt{1 + 36}
\]
\[
= \sqrt{37}
\]

Thus, the distance between the points \((1, 0)\) and \((0, -6)\) is \(\sqrt{37}\).