Question

para cada item abaixo a datermine a distância entre os pontos A e B​

Answer 1

Explicação passo-a-passo:

a)

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

$\sf d=\sqrt{(0-6)^2+(0-8)^2}$

$\sf d=\sqrt{(-6)^2+(-8)^2}$

$\sf d=\sqrt{36+64}$

$\sf d=\sqrt{100}$

$\sf \red{d=10}$

b)

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

$\sf d=\sqrt{(2-7)^2+(7-10)^2}$

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

$\sf d=\sqrt{25+9}$

$\sf \red{d=\sqrt{34}}$

c)

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

$\sf d=\sqrt{(1-6)^2+(0-14)^2}$

$\sf d=\sqrt{(-5)^2+(-14)^2}$

$\sf d=\sqrt{25+196}$

$\sf \red{d=\sqrt{221}}$

d)

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

$\sf d=\sqrt{(5-9)^2+(2-8)^2}$

$\sf d=\sqrt{(-4)^2+(-6)^2}$

$\sf d=\sqrt{16+36}$

$\sf d=\sqrt{52}$

$\sf \red{d=2\sqrt{13}}$

e)

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

$\sf d=\sqrt{(3-9)^2+(1-11)^2}$

$\sf d=\sqrt{(-6)^2+(-10)^2}$

$\sf d=\sqrt{36+100}$

$\sf d=\sqrt{136}$

$\sf \red{d=2\sqrt{34}}$