Question

Ajudem por favor !!!


1) Determine a distância entre os pontos:

A) C (-3, -1) D (1, 4)

B) A (-3, -1) B (3, 7)

C) F (0.5 , 0.5) G (3.5 , -3.5)​

Answer 1

Resposta:

a)

$\sf d _{CD} = \sqrt{(x_D - x_C)^2+(y_D - y_C)^2}$

$\sf d _{CD} = \sqrt{(1 + 3 )^2+(4 + 1)^2}$

$\sf d _{CD} = \sqrt{(4 )^2 + (5)^2}$

$\sf d _{CD} = \sqrt{16 + 25}$

$\boxed{ \boxed { \boldsymbol{ \sf \displaystyle d _{CD} = \sqrt{41}}}} \quad \gets \mathbf{ Resposta }$

b)

$\sf d _{AB} = \sqrt{(x_B - x_C)^2+(y_B - y_A)^2}$

$\sf d _{AB} = \sqrt{(3 +3)^2+(7 +1)^2}$

$\sf d _{AB} = \sqrt{(9)^2 + (8)^2}$

$\sf d _{AB} = \sqrt{81 + 64}$

$\boxed{ \boxed { \boldsymbol{ \sf \displaystyle d _{AB} = \sqrt{145}}}} \quad \gets \mathbf{ Resposta }$

c)

$\sf d _{FG} = \sqrt{(x_G - x_F)^2+(y_G - y_F)^2}$

$\sf d _{FG} = \sqrt{(3,5 - 0,5)^2+( - 3,5 - 0,5)^2}$

$\sf d _{FG} = \sqrt{(3)^2+( - 4)^2}$

$\sf d _{FG} = \sqrt{9 +16}$

$\sf d _{FG} = \sqrt{25}$

$\boxed{ \boxed { \boldsymbol{ \sf \displaystyle d_{FG} = 5 }}} \quad \gets \mathbf{ Resposta }$

Explicação passo-a-passo: