#9 **Finding the Distance Between Two Points**To determine the distance between the pair of points \((6, 9) \) and \((12, 17) \):1. **Identify the coordinates**: \[ (x_1, y_1) = (6, 9) \] \[ (x_2, y_2) = (12, 17) \]2. **Apply the distance formula**: The distance \(d\) between two points \((x_1, y_1) \) and \((x_2, y_2) \) is given by: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]3. **Substitute the coordinates** into the formula: \[ d = \sqrt{(12 - 6)^2 + (17 - 9)^2} \] \[ d = \sqrt{6^2 + 8^2} \] \[ d = \sqrt{36 + 64} \] \[ d = \sqrt{100} \] \[ d = 10 \]Thus, the distance between the points is 10 units. Round to two decimal places as needed, though in this case, the exact answer is already 10.00 units.**Visualization**: Imagining this on a coordinate plane, the two points create a right triangle with legs of length 6 and 8 units. The distance calculated is the length of the hypotenuse of this triangle, which confirms our calculations using the Pythagorean Theorem.

Name: #9 **Finding the Distance Between Two Points**To determine the distanc
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: #9 **Finding the Distance Between Two Points**To determine the distance between the pair of points \((6, 9) \) and \((12, 17) \):1. **Identify the coordinates**: \[ (x_1, y_1) = (6, 9) \] \[ (x_2, y_2) = (12, 17) \]2. **Apply the distanc