find the distance between (-8,-3) and (-2, -5) round your answer to the nearest hundreth if nessacary

To find the distance between the two points \((-8, -3)\) and \((-2, -5)\), we can use the distance formula:

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

Here, \((x_1, y_1) = (-8, -3)\) and \((x_2, y_2) = (-2, -5)\).

Now, substituting in the values:

\[ d = \sqrt{((-2) - (-8))^2 + ((-5) - (-3))^2} \] \[ = \sqrt{(-2 + 8)^2 + (-5 + 3)^2} \] \[ = \sqrt{(6)^2 + (-2)^2} \] \[ = \sqrt{36 + 4} \] \[ = \sqrt{40} \] \[ = \sqrt{4 \times 10} \] \[ = 2\sqrt{10} \]

Now, we can find the decimal value of \(2\sqrt{10}\):

\[ \sqrt{10} \approx 3.1623 \]

Thus,

\[ 2\sqrt{10} \approx 2 \times 3.1623 \approx 6.3246 \]

Rounding to the nearest hundredth, the distance is:

\[ \boxed{6.32} \]