Question

2. Represente no plano cartesiano os pontos indicados e calcule a distância entre eles.
a) A (0-4) eB (-3,0)
b) C(0,0) e D(3,3)
c) E (1,2) e F(-3,5)
d) G(0,-5) e H (5,-4)
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Answer 1

Explicação passo-a-passo:

A distância entre dois pontos é calculada da seguinte forma:

$d=\sqrt{(x_{b}-x_{a})^{2}+(y_{b}-y_{a})^{2}}$

a) Temos que A (0-4) e B (-3,0).

$d=\sqrt{(-3-0)^{2}+(0-(-4))^{2}}\\\\d=\sqrt{(-3)^{2}+4^{2}}\\\\d=\sqrt{9+16}\\\\d=\sqrt{25} \\\\d=5$

b)Temos que C(0,0) e D(3,3).

$d=\sqrt{(3-0)^{2}+(3-0)^{2}}\\\\d=\sqrt{3^{2}+3^{2}}\\\\d=\sqrt{9+9} \\\\d=\sqrt{18} \\\\d=3.\sqrt{2}$

c)Temos que E(1,2) e F(-3,5).

$d=\sqrt{(-3-1)^{2}+(5-2)^{2}}\\\\d=\sqrt{(-4)^{2}+3^{2}}\\\\d=\sqrt{16+9}\\\\d=\sqrt{25}\\\\d=5$

d)Temos que G(0,-5) e H (5,-4).

$d=\sqrt{(5-0)^{2}+(-4-(-5))^{2}}\\\\d=\sqrt{5^{2}+1^{2}}\\\\d=\sqrt{25+1} \\\\d=\sqrt{26}$

Answer 2

Resposta:

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Answer 3

Resposta:

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