Question

Find the distance between the pair of points (-22,20) and (-23,-1)

Answer 1

`\huge\begin{array}{ccc}d=√(442)=11\sqrt2\end{array}`

A distance between two points.

The formula:

`A(x_A,\ y_A),\ B(x_B,\ y_B)\\\\|AB|=√((x_B-x_A)^2+(y_B-y_A)^2)`

SOLUTION:

We have:

`A(-22,\ 20),\ B(-23,-1)`

Substitute:

`|AB|=√((-23-(-22))^2+(-1-20)^2)=√((-1)^2+(-21)^2)\\\\=√(1+441)=√(442)=√(121\cdot2)=√(121)\cdot\sqrt2=\boxed{11\sqrt2}`