Question

Use the image to answer the question.

A graph shows quadrant 1 with the x-axis and y-axis ranging from 0 to positive 9.

Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.

(1 point)
Skip to navigation

Answer 1

To find the length between two points using the Pythagorean Theorem, you would normally identify the coordinates of the two points, then apply 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.
- \( d \) is the distance between the two points.

However, since I cannot see the image you're referring to and don't have the specific coordinates of the two points, I can guide you on how to apply the formula if you provide the coordinates.

For example, if your points are \( (x_1, y_1) = (2, 3) \) and \( (x_2, y_2) = (5, 7) \):

1. Calculate the difference in x-coordinates: \( x_2 - x_1 = 5 - 2 = 3 \)
2. Calculate the difference in y-coordinates: \( y_2 - y_1 = 7 - 3 = 4 \)
3. Substitute into the distance formula:
\[
d = \sqrt{(3)^2 + (4)^2} = \sqrt{9 + 16} = \sqrt{25} = 5
\]

Please provide the coordinates of the points you want to find the distance between, and I'll help you calculate it!