Question

U(11,9) and S(-12,-6). Find US

Answer 1

For this problem we can use the definition of euclidean distance given by:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

We have these coordinates:

$U=(11,9),S=(-12,-6)$

And replacing we got:

$d=\sqrt{(11+12)^2+(9+6)^2}$

And when we simplify we got:

$d=\sqrt{529+225}=\sqrt{754}$

And if we simplify we got:

$d=27.459$

The midpoint can be calculated with this formula:

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

And replacing we got:

$M=(\frac{11-12}{2},\frac{9-6}{2})$$M=(-\frac{1}{2},-\frac{3}{2})$