U(-2,4) W(3,-4) round answer to the nearest hundredth 

To find the distance between points \( U(-2, 4) \) and \( W(3, -4) \), we use the distance formula:

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

Where:
- \( x_1 = -2 \), \( y_1 = 4 \) (coordinates of U)
- \( x_2 = 3 \), \( y_2 = -4 \) (coordinates of W)

Substituting these values into the formula:

\[
d = \sqrt{(3 - (-2))^2 + (-4 - 4)^2}
\]
\[
d = \sqrt{(3 + 2)^2 + (-4 - 4)^2}
\]
\[
d = \sqrt{5^2 + (-8)^2}
\]
\[
d = \sqrt{25 + 64}
\]
\[
d = \sqrt{89}
\]
\[
d \approx 9.43
\]

So, the distance between points \( U \) and \( W \) is approximately **9.43** (rounded to the nearest hundredth).

Do you want more details or have any questions?

Here are 5 related questions:
1. How do you find the midpoint between two points?
2. How do you determine the slope of a line between two points?
3. What is the formula for the equation of a circle with a given radius and center point?
4. How does the Pythagorean theorem relate to the distance formula?
5. How would you calculate the distance between two points in 3D space?

**Tip:** Always remember to check for negative signs when substituting coordinates in the distance formula!

U(-2,4) W(3,-4) round answer to the nearest hundredth

Learn how to calculate the distance between points U(-2,4) and W(3,-4) using the distance formula. This problem explores key geometric concepts and applies the Pythagorean theorem. The final answer is approximately 9.43, rounded to the nearest hundredth. Suitable for students in Grades 8-10.

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