Answer:
28.3 units (3 s.f.)
Step-by-step explanation:
[tex]\boxed{distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }[/tex]
Using the formula above,
distance
[tex] = \sqrt{[6 - ( - 22)]^{2} + (16 - 12) {}^{2} } [/tex]
[tex] = \sqrt{(6 + 22) {}^{2} + {4}^{2} } [/tex]
[tex] = \sqrt{ {28}^{2} + 16 } [/tex]
[tex] = \sqrt{784 + 16} [/tex]
[tex] = \sqrt{800} [/tex]
= 28.3 units (3s.f.)
