Answer:
13.3 units (nearest tenth)
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{ {[2 - ( - 1)]}^{2} + ( - 9 - 4)^{2} } [/tex]
[tex] = \sqrt{ {(2 + 1)}^{2} + ( - 13) {}^{2} } [/tex]
[tex] = \sqrt{ {3}^{2} + ( - 13) {}^{2} } [/tex]
[tex] = \sqrt{9 + 169} [/tex]
[tex] = \sqrt{178} [/tex]
= 13.3 units (nearest tenth)
