Question

What is the approximate distance between point p and q?

Answer 1

The coordinates of the given points, are:

`\begin{gathered} P(-4,6) \\ Q(3,2) \end{gathered}`

Use the distance formula to find the distance between points Q and P:

`\begin{gathered} d=\sqrt[]{(x_P_{}-x_Q)^2+(y_P-y_Q)^2} \\ =\sqrt[]{(-4-3)^2+(6-2)^2} \\ =\sqrt[]{(-7)^2+(4)^2} \\ =\sqrt[]{49+16} \\ =\sqrt[]{65} \end{gathered}`

Find a decimal expression for the square root of 65:

`\sqrt[]{65}=8.062257748\ldots`

To the nearest hund