Final answer:
To find the distance between the points C = (1, -1) and A = (4, -6), we use the distance formula resulting in a distance of approximately 5.83 units when rounded to the nearest hundredth.
Step-by-step explanation:
To calculate the distance between the points C = (1, -1) and A = (4, -6) in the coordinate plane, you can use the distance formula which is derived from the Pythagorean theorem. The formula is:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Applying it to our points:
Distance = √[(4 - 1)^2 + (-6 - (-1))^2]
Distance = √[(3)^2 + (-5)^2]
Distance = √[9 + 25]
Distance = √34
Distance ≈ 5.83
When rounding to the nearest hundredth, the distance between points C = (1, -1) and A = (4, -6) is approximately 5.83 units.