Question

Find the length of If needed, please round to the nearest tenth. coordinate plane with line segment AB.

Point A is (9, 3)
point B is (8, 2)

Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal.

Find the length of
.

If needed, please round to the nearest tenth.

coordinate plane with line segment AB

Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . , -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal.

Answer 1

To find the length of the line segment AB between the points A(9, 3) and B(8, 2), we can use the distance formula:

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

In this case:
- \( (x_1, y_1) = (9, 3) \)
- \( (x_2, y_2) = (8, 2) \)

Now, substituting in the values:

\[
d = \sqrt{(8 - 9)^2 + (2 - 3)^2}
\]

Calculating each part:

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

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

\[
d = \sqrt{2}
\]

Now, we need to round \(\sqrt{2}\) to the nearest tenth. The approximate value of \(\sqrt{2}\) is about 1.414.

Rounding it to the nearest tenth, we get:

\[
d \approx 1.4
\]

Thus, the length of the line segment AB is approximately \(1.4\).