Question

What is the distance, rounded to the nearest tenth, between the points (0, 5) and (8, 0)? Enter the answer in the box.

Answer 1

To find the distance between the points \((0, 5)\) and \((8, 0)\), we can use the distance formula:

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

Here, \((x_1, y_1) = (0, 5)\) and \((x_2, y_2) = (8, 0)\).

Substituting the coordinates into the formula:

\[
d = \sqrt{(8 - 0)^2 + (0 - 5)^2}
\]

Calculating the differences:

\[
d = \sqrt{(8)^2 + (-5)^2}
\]

Calculating the squares:

\[
d = \sqrt{64 + 25}
\]

Adding the values inside the square root:

\[
d = \sqrt{89}
\]

Calculating the square root:

\[
d \approx 9.434
\]

Rounding the distance to the nearest tenth:

\[
d \approx 9.4
\]

Thus, the distance between the points \((0, 5)\) and \((8, 0)\) is \(\boxed{9.4}\).