Please help ### Distance and Midpoint of Two Points in 3D Space#### Problem Statement:Give the distance between the two points (rounded to the nearest hundredth, if needed) and the exact midpoint by filling in the \( x \)-, \( y \)-, and \( z \)-coordinates.#### Points to Consider:- Point A: \((3, 2, -4)\)- Point B: \((6, 8, 2)\)#### Required Calculations:1. **Distance** between the two points.2. **Midpoint** of the line segment joining the two points.#### Distance Formula in 3D:\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2} \]#### Midpoint Formula in 3D:\[ \text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}, \frac{z_1 + z_2}{2} \right) \]### Solution:#### Calculate the Distance:Using the distance formula:\[ d = \sqrt{(6 - 3)^2 + (8 - 2)^2 + (2 + 4)^2} \]#### Calculate the Midpoint:Using the midpoint formula:\[ \text{Midpoint} = \left( \frac{3 + 6}{2}, \frac{2 + 8}{2}, \frac{-4 + 2}{2} \right) \]#### Fill in your answers:- **Distance** = \_\_\_\_ units- **Midpoint** = ( \_\_\_\_ , \_\_\_\_ , \_\_\_\_ )Complete the calculations and fill in the blanks to find the correct answers.

Name: Please help ### Distance and Midpoint of Two Points in 3D Space#### Pr
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please help ### Distance and Midpoint of Two Points in 3D Space#### Problem Statement:Give the distance between the two points (rounded to the nearest hundredth, if needed) and the exact midpoint by filling in the \( x \)-, \( y \)-, and \( z \)-coor