Question

Find the distance and round to the nearest hundredth
(10,0) (8,1)

Answer 1

To find the distance between the points \( (10, 0) \) and \( (8, 1) \), we can use the distance formula:

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

Here, \( (x_1, y_1) = (10, 0) \) and \( (x_2, y_2) = (8, 1) \).

Substituting in the values:

\[
d = \sqrt{(8 - 10)^2 + (1 - 0)^2}
\]

Calculating the differences:

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

Now we find the approximate value of \( \sqrt{5} \):

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

Rounding to the nearest hundredth:

\[
d \approx 2.24
\]

Therefore, the distance between the points \( (10, 0) \) and \( (8, 1) \) is approximately **2.24**.