Question

Find the distance between point A(1, 7) and B(18, 18). Round your answer to the nearest tenth.

Answer 1

To find the distance between two points \( A(x_1, y_1) \) and \( B(x_2, y_2) \), we can use the distance formula:

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

Plugging in the coordinates for points A(1, 7) and B(18, 18):

- \( x_1 = 1 \)
- \( y_1 = 7 \)
- \( x_2 = 18 \)
- \( y_2 = 18 \)

Now substitute these values into the formula:

\[
d = \sqrt{(18 - 1)^2 + (18 - 7)^2}
\]
\[
d = \sqrt{(17)^2 + (11)^2}
\]
\[
d = \sqrt{289 + 121}
\]
\[
d = \sqrt{410}
\]

Now, calculate \( \sqrt{410} \):

\[
\sqrt{410} \approx 20.248
\]

Rounding this to the nearest tenth:

\[
d \approx 20.2
\]

Thus, the distance between points A(1, 7) and B(18, 18) is approximately **20.2**.