Verified answer

[tex]\sf d_{AB}=\sqrt{\big(x_B-x_A\big)^2+\big(y_B-y_A\big)^2}[/tex]

[tex]\sf d_{AB}=\sqrt{\big(-3-1\big)^2+\big(4-\big(-5\big)\big)^2}[/tex]

[tex]\sf d_{AB}=\sqrt{\big(-4\big)^2+\big(9\big)^2}[/tex]

[tex]\sf d_{AB}=\sqrt{16+81}[/tex]

[tex]\boxed{\boxed{\sf d_{AB}=\sqrt{97}}}[/tex]

OLÁ

[tex] \sf {}^{d} AB = \sqrt{ {(xb - xa)}^{2} +{(yb - ya)}^{2} } \\ \sf {}^{d} AB = \sqrt{ {( - 3 - 1)}^{2} +{(4 - ( - 5))}^{2} } \\ \sf {}^{d} AB = \sqrt{ {( - 4)}^{2} +{(9)}^{2} }\\ \sf {}^{d} AB = \sqrt{16 + 81} \\ \large\boxed{{\sf \large\boxed{{\sf \color{yellow}{} \sf {}^{d} AB = \sqrt{97} }}}}[/tex]

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