Question

What is the distance between the points (10, -10) and (5, 2)
Round the decimals to the nearest tenth.

Answer 1

To find the distance between the points \((10, -10)\) and \((5, 2)\), we can use the distance formula:

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

Where \((x_1, y_1) = (10, -10)\) and \((x_2, y_2) = (5, 2)\).

Substituting the coordinates into the formula:

\[
d = \sqrt{(5 - 10)^2 + (2 - (-10))^2}
\]
\[
= \sqrt{(-5)^2 + (2 + 10)^2}
\]
\[
= \sqrt{25 + 12^2}
\]
\[
= \sqrt{25 + 144}
\]
\[
= \sqrt{169}
\]
\[
= 13
\]

The distance between the points \((10, -10)\) and \((5, 2)\) is \(13\) units. Since there are no decimals to round in this case, the final answer is:

\[
\boxed{13}
\]