Given:
The coordinates of the point C is (-1,4) and the coordinates of the point D is (2,0).
We need to determine the distance between the points C and D
Distance between C and D:
The distance between the two points can be determined using the formula,
[tex]d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}[/tex]
Let us substitute the coordinate (-1,4) and (2,0) for the coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Thus, we have;
[tex]d=\sqrt{\left(2+1\right)^{2}+\left(0-4\right)^{2}}[/tex]
Simplifying, we get;
[tex]d=\sqrt{\left(3\right)^{2}+\left(-4\right)^{2}}[/tex]
Squaring the terms, we have;
[tex]d=\sqrt{9+16}[/tex]
[tex]d=\sqrt{25}[/tex]
[tex]d=5[/tex]
Thus, the distance between the points C and D is 5 units.
