Question

Find the distance CD rounded to the nearest tenth
C=(10,-1) and D=(-6,3)

Answer 1

CD = 16.5

Explanation:

To find the distance between two points, use this formula:
`L = \sqrt{(x_(2) -x_(1))^(2)+(y_(2) -y_(1))^(2) }`

point C can be info set 1: (10, -1) x₁ = 10 y₁ = -1

point D can be info set 2: (-6, 3) x₂ = -6 y₂ = 3

Substitute the information into the formula

`L = \sqrt{(x_(2) -x_(1))^(2)+(y_(2) -y_(1))^(2) }`

`CD = \sqrt{(-6 -10)^(2)+(3 -(-1))^(2) }` Simplify inside each bracket

`CD = \sqrt{(-16)^(2)+(4)^(2) }` Square the numbers

`CD = √(256+16 )` Add inside the root

`CD = √(272)` Enter into calculator

`CD = 16.5` Rounded to the nearest tenth, the first decimal

The distance CD is 16.5.