Question

as distâncias entre os pontos A(3, 7) e B(3, 4), E(-2, 2) e F(5, 2), H(-4, -3) e O(0, 0) são respectivamente

Answer 1

$A(3,7)~~eB(3,4) \\ \\ D_{AB}= \sqrt{(x_B-x_A)^2+(y_B-y_A)^2} \\ \\ D_{AB}= \sqrt{(3-3)^2+(4-7)^2} \\ \\ D_{AB}= \sqrt{0^2+(-3)^2} \\ \\ D_{AB}= \sqrt{9} \\ \\ D_{AB}=3$
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$E(-2,2)~~e~~F(5,2) \\ \\ D_{EF}= \sqrt{(x_F-x_E)^2+(y_F-y_E)^2} \\ \\ D_{EF}= \sqrt{(5+2)^2+(2-2)^2} \\ \\ D_{EF}= \sqrt{7^2+0^2} \\ \\ D_{EF}= \sqrt{49} \\ \\ D_{EF}=7$ 

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$H(-4-3)~~e~~O(0,0) \\ \\ D_{HO}= \sqrt{(x_O-x_H)^2+(y_O-y_H)^2} \\ \\ D_{HO}= \sqrt{(0+4)^2+(0+3)^2} \\ \\ D_{HO}= \sqrt{4^2+3^2} \\ \\ D_{HO}= \sqrt{16+9} \\ \\ D_{HO}= \sqrt{25} \\ \\ D_{HO}=5$ 
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Letra  C