Question

Find the distance of the points given (1,7) and (0,5)

1.7
3.3
7.8
2.2
3

Answer 1

To find the distance between the 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, \((x_1, y_1) = (1, 7)\) and \((x_2, y_2) = (0, 5)\). Now, we can apply the values:

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

Calculating the differences:

\[
d = \sqrt{(-1)^2 + (-2)^2}
\]
\[
d = \sqrt{1 + 4}
\]
\[
d = \sqrt{5}
\]

Now, calculating \(\sqrt{5}\):

\(\sqrt{5} \approx 2.236\)

Since \(\sqrt{5} \approx 2.236\), the closest answer from your options is \(2.2\). Therefore, the distance between the points (1, 7) and (0, 5) is approximately:

**2.2**.