me ajudem nessas 9 por favor. abc
Anexos:
![](https://pt-static.z-dn.net/files/d35/a14356417ae0f558b81998ca36276566.jpg)
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Para calcular a distância entre dois pontos, usaremos a fórmula:
![d = \sqrt{(x_{b}-x_{a})^{2}+(y_{b}-y_{a})^{2}} d = \sqrt{(x_{b}-x_{a})^{2}+(y_{b}-y_{a})^{2}}](https://tex.z-dn.net/?f=d+%3D++%5Csqrt%7B%28x_%7Bb%7D-x_%7Ba%7D%29%5E%7B2%7D%2B%28y_%7Bb%7D-y_%7Ba%7D%29%5E%7B2%7D%7D+)
a) A(2,-1) e B(3,-7)
![d = \sqrt{(3-2)^{2}+(-7-(-1))^{2}} = \sqrt{1^{2}+8^{2}} = 3 d = \sqrt{(3-2)^{2}+(-7-(-1))^{2}} = \sqrt{1^{2}+8^{2}} = 3](https://tex.z-dn.net/?f=d+%3D+%5Csqrt%7B%283-2%29%5E%7B2%7D%2B%28-7-%28-1%29%29%5E%7B2%7D%7D++%3D++%5Csqrt%7B1%5E%7B2%7D%2B8%5E%7B2%7D%7D+%3D+3)
b) D(3,9) e C(7,0)
![d = \sqrt{(x_{b}-x_{a})^{2}+(y_{b}-y_{a})^{2}} \\ d = \sqrt{(7-3)^{2}+(0-9)^{2}} \\ d = \sqrt{4^{2}+(-9)^{2}} = \sqrt{16+81} = 9,84 d = \sqrt{(x_{b}-x_{a})^{2}+(y_{b}-y_{a})^{2}} \\ d = \sqrt{(7-3)^{2}+(0-9)^{2}} \\ d = \sqrt{4^{2}+(-9)^{2}} = \sqrt{16+81} = 9,84](https://tex.z-dn.net/?f=d+%3D+%5Csqrt%7B%28x_%7Bb%7D-x_%7Ba%7D%29%5E%7B2%7D%2B%28y_%7Bb%7D-y_%7Ba%7D%29%5E%7B2%7D%7D++%5C%5C+d+%3D++%5Csqrt%7B%287-3%29%5E%7B2%7D%2B%280-9%29%5E%7B2%7D%7D+%5C%5C+d+%3D++%5Csqrt%7B4%5E%7B2%7D%2B%28-9%29%5E%7B2%7D%7D+%3D++%5Csqrt%7B16%2B81%7D+++%3D+9%2C84)
c) J(0,0) e L(8,-6)
![d = \sqrt{(x_{b}-x_{a})^{2}+(y_{b}-y_{a})^{2}} \\ d = \sqrt{8^{2}+(-6)^{2}} = \sqrt{100} \\ d = 10 d = \sqrt{(x_{b}-x_{a})^{2}+(y_{b}-y_{a})^{2}} \\ d = \sqrt{8^{2}+(-6)^{2}} = \sqrt{100} \\ d = 10](https://tex.z-dn.net/?f=d+%3D+%5Csqrt%7B%28x_%7Bb%7D-x_%7Ba%7D%29%5E%7B2%7D%2B%28y_%7Bb%7D-y_%7Ba%7D%29%5E%7B2%7D%7D++%5C%5C+d+%3D++%5Csqrt%7B8%5E%7B2%7D%2B%28-6%29%5E%7B2%7D%7D++%3D++%5Csqrt%7B100%7D+%5C%5C+d+%3D+10+)
a) A(2,-1) e B(3,-7)
b) D(3,9) e C(7,0)
c) J(0,0) e L(8,-6)
decioignacio:
pequena distração no 4^2 = 8 da letra b)...o correto seria 16... convém editar para corrigir... desculpe a intromissão... só observei para ajudar...
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