Answer:
[tex]d_R_U=12.2\ units[/tex]
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have the ordered pairs
R(3, −6) to U(−7, 1)
substitute in the formula
[tex]d_R_U=\sqrt{(1+6)^{2}+(-7-3)^{2}}[/tex]
[tex]d_R_U=\sqrt{(7)^{2}+(-10)^{2}}[/tex]
[tex]d_R_U=\sqrt{49+100}[/tex]
[tex]d_R_U=\sqrt{149}\ units[/tex]
[tex]d_R_U=12.2\ units[/tex]
