To find the distance between two points \( H(-5, -3) \) and \( W(3, 3) \) in the Cartesian plane, you can use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of points H and W respectively.
Here, \( H(-5, -3) \) can be considered as \( (x_1, y_1) \) and \( W(3, 3) \) as \( (x_2, y_2) \).
Substituting the coordinates into the formula:
\[ d = \sqrt{(3 - (-5))^2 + (3 - (-3))^2} \]
Calculating the differences:
\[ d = \sqrt{(3 + 5)^2 + (3 + 3)^2} \] \[ d = \sqrt{(8)^2 + (6)^2} \] \[ d = \sqrt{64 + 36} \] \[ d = \sqrt{100} \] \[ d = 10 \]
Thus, the distance between points H and W is \( 10 \) units.