Answer:
CD = 16.5
Step-by-step explanation:
To find the distance between two points, use this formula: [tex]L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }[/tex]
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
[tex]L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }[/tex]
[tex]CD = \sqrt{(-6 -10)^{2}+(3 -(-1))^{2} }[/tex] Simplify inside each bracket
[tex]CD = \sqrt{(-16)^{2}+(4)^{2} }[/tex] Square the numbers
[tex]CD = \sqrt{256+16 }[/tex] Add inside the root
[tex]CD = \sqrt{272}[/tex] Enter into calculator
[tex]CD = 16.5[/tex] Rounded to the nearest tenth, the first decimal
The distance CD is 16.5.
