Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary. (1 point) Responses 5.57 5.57 6:40 6:40 9 9 41

Answer 1

To find the length between two points using the Pythagorean theorem, we use the 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 the two points.

If you provide the coordinates of the two points, I can compute the length for you.

Answer 2

4,2.
-1, -2

Answer 3

To find the distance between the points \( (4, 2) \) and \( (-1, -2) \), we can apply the Pythagorean Theorem as follows:

1. Identify the coordinates:

   • \( (x_1, y_1) = (4, 2) \)
   • \( (x_2, y_2) = (-1, -2) \)

2. Substitute the values into the distance formula:

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

3. Plug in the values:

\[ d = \sqrt{((-1) - 4)^2 + ((-2) - 2)^2} \]

4. Calculate the differences:

\[ d = \sqrt{(-5)^2 + (-4)^2} \]

5. Square the differences:

\[ d = \sqrt{25 + 16} \]

6. Add the squares:

\[ d = \sqrt{41} \]

7. Finally, calculate the square root:

\[ d \approx 6.4 \]

When rounded to the nearest hundredth, the distance \( d \) is approximately 6.40.