Question

It says that the answer has to be a decimal and I don't understand

Answer 1

To get the distance between two points, we can use the formula given below

`\text{distance betwe}en\text{ points = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

From the question given, we were given the coordinates of points C and D to be

`\begin{gathered} C\text{ = (-2, 13)} \\ D\text{ = (-18, -1)} \end{gathered}`

we can put x1 = -2 and y1 = 13

and x2 = -18, y2 = -1

`\sqrt[]{(-18_{}-(-2)_{})^2+(-1-13_{})^2}`

`\begin{gathered} \sqrt[]{(-16)^2+(-14_{})^2} \\ \\ \Rightarrow\text{ }\sqrt[]{256\text{ + 196}} \\ \\ \Rightarrow\sqrt[]{452} \end{gathered}`

`\sqrt[]{452}\text{ = 21.26}`

The distance between points C and D = 21.26

=> 21.3 (To one decimal number)