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Answer:
AB = [tex]\sqrt{20}[/tex]
Step-by-step explanation:
calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = B (3, 2 ) and (x₂, y₂ ) = A (7, 4 )
AB = [tex]\sqrt{(7-3)^2+(4-2)^2}[/tex]
= [tex]\sqrt{4^2+2^2}[/tex]
= [tex]\sqrt{16+4}[/tex]
= [tex]\sqrt{20}[/tex]
≈ 4.47 ( to 2 dec. places )
Answer:
[tex]distance = \sqrt{(3 - 7) ^{2} } + (2 - 4) ^{2} \\ = \: \: \sqrt{16} + 4 \\ \\ = \: \: \: \: 2 \sqrt{5} [/tex]