Question

Question
What is the distance between points D and H D(1,3) and H(9,8) ?

Round to the nearest tenth of a unit.

Responses

3.7 units
3.7 units

5.2 units
5.2 units

7.3 units
7.3 units

9.4 units
9.4 units

Answer 1

To find the distance between the points \( D(1, 3) \) and \( H(9, 8) \), we can use the distance formula:

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

Here, \( (x_1, y_1) = (1, 3) \) and \( (x_2, y_2) = (9, 8) \).

Substituting the coordinates into the formula gives:

\[
d = \sqrt{(9 - 1)^2 + (8 - 3)^2}
\]
\[
= \sqrt{(8)^2 + (5)^2}
\]
\[
= \sqrt{64 + 25}
\]
\[
= \sqrt{89}
\]
\[
\approx 9.4
\]

Rounding to the nearest tenth yields \( 9.4 \) units.

Thus, the correct response is **9.4 units**.