Question

Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary. (-2 x) (4 y)
1. 6:40
2. 5.57
3. 41
4. 9

Answer 1

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:
1. 6:40
2. 5.57
3. 41
4. 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.