Final answer:
Using the distance formula, the distance between points W(-6, -8) and X(16, 8) is calculated to be approximately 27.2 units. The closest given option is c) 26, although it's not an exact match.
Step-by-step explanation:
The distance between points W(-6, -8) and X(16, 8) is calculated using the distance formula, which is √((x2-x1)² + (y2-y1)²). In this scenario:
- x1 = -6
- y1 = -8
- x2 = 16
- y2 = 8
Plugging the values into the formula gives:
√((16 - (-6))² + (8 - (-8))²) = √((22)² + (16)²) = √(484 + 256) = √740 = 27.2 (approximated to two decimal places)
Therefore, the distance is approximately 27.2 units, which is not an option given. So, it seems there might be an error in the proposed answers. The closest option to our calculated distance is c) 26.