Question

Find the distance CD rounded to the nearest tenth.

C = (6,-5) and D = (-1,-4)
A. 7.1
B. 7.2
C. 7.3
D. 7.4

Answer 1

The distance CD rounded to the nearest tenth is B. 7.2.

Step-by-step explanation:

Distance between two points in a Cartesian plane can be calculated using the distance formula:

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

For points C (6, -5) and D (-1, -4):

[ text{Distance} = sqrt{(-1 - 6)^2 + (-4 - (-5))^2} ]

[ text{Distance} = sqrt{(-7)^2 + (1)^2} ]

[text{Distance} = sqrt{49 + 1} ]

[ text{Distance} = sqrt{50} ]

[ text{Distance} = 5sqrt{2} ]

Rounding this to the nearest tenth gives approximately 7.1. Therefore, the correct answer is B. 7.2.

complete question

Tell and Find the distance of CD rounded to the nearest tenth

C = (6,-5) and D = (-1,-4) ?