Answer:
[tex]2\sqrt{5}=4.47\:\: \sf units \:\:(2\:d.p.)[/tex]
Step-by-step explanation:
Distance between two points
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points.}[/tex]
Given:
Substitute the given points into the formula and solve for d:
[tex]\implies d=\sqrt{(3-5)^2+(-7-(-3))^2}[/tex]
[tex]\implies d=\sqrt{(-2)^2+(-4)^2}[/tex]
[tex]\implies d=\sqrt{4+16}[/tex]
[tex]\implies d=\sqrt{20}[/tex]
[tex]\implies d=\sqrt{4 \cdot 5}[/tex]
[tex]\implies d=\sqrt{4}\sqrt{5}[/tex]
[tex]\implies d=2\sqrt{5}[/tex]
[tex]\implies d=4.47\:\: \sf units \:\:(2\:d.p.)[/tex]
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