Given:
The two points C(2,-1) and D(5,3) on a coordinate plane.
To find:
The distance from C to D.
Solution:
The distance between two points is defined by the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The two points are C(2,-1) and D(5,3). Using the distance formula, we get
[tex]CD=\sqrt{(5-2)^2+(3-(-1))^2}[/tex]
[tex]CD=\sqrt{(3)^2+(3+1)^2}[/tex]
[tex]CD=\sqrt{(3)^2+4^2}[/tex]
On further simplification, we get
[tex]CD=\sqrt{9+16}[/tex]
[tex]CD=\sqrt{25}[/tex]
[tex]CD=5[/tex]
The distance from point C to D is 5 units. Therefore, the correct option is A.