Question

Find the distance between points A and B. Round your answer to the nearest tenth.
the points are (3,5) and (-2,-2)

Answer 1

To find the distance between two points \( A(3, 5) \) and \( B(-2, -2) \), we can use the distance formula:

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

Here, \( (x_1, y_1) = (3, 5) \) and \( (x_2, y_2) = (-2, -2) \).

Plugging the coordinates into the formula:

\[
d = \sqrt{((-2) - 3)^2 + ((-2) - 5)^2}
\]
\[
= \sqrt{(-5)^2 + (-7)^2}
\]
\[
= \sqrt{25 + 49}
\]
\[
= \sqrt{74}
\]

Now, calculating \( \sqrt{74} \):

\[
\sqrt{74} \approx 8.6
\]

Rounding to the nearest tenth, the distance between points A and B is approximately \( 8.6 \).