Question

Calculate the distance between two points (-8,9) and (4,4)

Answer 1

If A=(-8,9) and B=(4,4), using the formula for distance between two points, we get:

`\begin{gathered} d(A,B)=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \Rightarrow d(A,B)=\sqrt[]{(4-(-8))^2+(4-9)^2}=\sqrt[]{(12)^2+(-5)^2} \\ \Rightarrow d(A,B)=\sqrt[]{144+25}=\sqrt[]{169}=13 \\ d(A,B)=13 \end{gathered}`

Therefore, the distance between A and B is 13 units

Formula for distance between two points:

`d(A,B)=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`