To find the distance between the two points \((-2, 0)\) and \((4, 0)\) using the Pythagorean Theorem, you can use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Here, we can identify the coordinates as follows:
- \((x_1, y_1) = (-2, 0)\)
- \((x_2, y_2) = (4, 0)\)
Now, plug in the values:
\[ d = \sqrt{(4 - (-2))^2 + (0 - 0)^2} \] \[ d = \sqrt{(4 + 2)^2 + (0)^2} \] \[ d = \sqrt{(6)^2 + 0} \] \[ d = \sqrt{36} \] \[ d = 6 \]
Thus, the distance between the two points is \(6\).
Among your answer choices:
- 6:40
- 5.57
- 41
- 9
None of these choices match \(6\). You might double-check the points you've provided. If you're looking for a distance based on different points, please specify.