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Work Shown:
point C = (x1,y1) = (-1,4)
point D = (x2,y2) = (2,0)
Distance Formula
[tex]d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
[tex]d = \sqrt{(2-(-1))^2+(0-4)^2}[/tex]
[tex]d = \sqrt{(2+1)^2+(0-4)^2}[/tex]
[tex]d = \sqrt{(3)^2+(-4)^2}[/tex]
[tex]d = \sqrt{9+16}[/tex]
[tex]d = \sqrt{25}[/tex]
[tex]d = 5[/tex]
The distance between point C and point D is 5 units
This is equivalent to saying that segment CD is 5 units long.
Answer:
The distance between C and D is 5 units
Step-by-step explanation: