Question

Fine the distance d(A,B)between points A and B A(4,-3); B(4,5)

Answer 1

The distance between points A and B can be calculated with this formula:

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`
`\begin{gathered} A=(4,-3) \\ x_1=4 \\ y_1=-3 \\ B=(4,5) \\ x_2=4 \\ y_2=5 \end{gathered}`

Now inputting the values above into the formula, we will proceed thus:

`\begin{gathered} d(A,B)=\sqrt[]{(4-4)^2+(5-(-3))^2} \\ d(A,B)=\sqrt[]{0^2+8^2} \\ d(A,B)=\sqrt[]{64} \\ d(A,B)=8 \\ \text{The distance betw}een\text{ points A and B is 8 units.} \end{gathered}`