Question

Find the distance between the two given points. Round your answer to the nearest tenth if necessary.
(1,7) and (0,5)

Answer 1

To find the distance between the two points \((1, 7)\) and \((0, 5)\), we can use the distance formula:

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

Here, the coordinates of the points are \((x_1, y_1) = (1, 7)\) and \((x_2, y_2) = (0, 5)\).

Substituting the values into the formula, we have:

\[
d = \sqrt{(0 - 1)^2 + (5 - 7)^2}
\]

Calculating the differences:

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

Calculating the squares:

\[
d = \sqrt{1 + 4}
\]
\[
d = \sqrt{5}
\]

Now we calculate the square root:

\[
\sqrt{5} \approx 2.236
\]

Rounding this to the nearest tenth, we get:

\[
\approx 2.2
\]

Thus, the distance between the two points is approximately **2.2**.