Question

Gente me ajudem por favor !!!
Calcule as distância entre dois pontos A (-1, 3) B ( 2, -1)
C ( 4 , -4 ) D ( 0,-4)

Answer 1

A(-1,3) e B(2,-1)

xA = -1
xB = 2

yA = 3
yB = -1

$d_{AB} = \sqrt{(xB-xA)^2+(yB-yA)^2}$

$d_{AB} = \sqrt{[2-(-1)]^2+(-1-3)^2}$

$d_{AB} = \sqrt{(2+1)^2+(-4)^2}$

$d_{AB} = \sqrt{(3)^2+16}$

$d_{AB} = \sqrt{9+16}$

$d_{AB} = \sqrt{25}$

$d_{AB} = 5$ unidades de comprimento

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C(4,-4) e D(0,-4)

xC = 4 e xD = 0
yC = -4 e yD = -4

$d_{CD} = \sqrt{(xD-xC)^2+(yD-yC)^2}$

$d_{CD} = \sqrt{(0-4)^2+[-4-(-4)]^2}$

$d_{CD} = \sqrt{(16+(-4 + 4)^2}$

$d_{CD} = \sqrt{16}$

$d_{CD} = 4$ unidades de comprimento