determinar a distância entre dois pontos A (8,3) e B (-4,8)
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Solução!
Formula da distância!
![d(A,B)= \sqrt{(x_{A}- x_{B})^{2}+(y_{A}-y_{B})^{2}}\\\\\\
d(A,B)= \sqrt{(8+4)^{2}+(3-8)^{2}} \\\\\\
d(A,B)= \sqrt{(12)^{2}+(-5)^{2}} \\\\\\
d(A,B)= \sqrt{144+25}\\\\\
d(A,B)= \sqrt{169}\\\\\
d(A,B)=13](https://tex.z-dn.net/?f=d%28A%2CB%29%3D+%5Csqrt%7B%28x_%7BA%7D-++x_%7BB%7D%29%5E%7B2%7D%2B%28y_%7BA%7D-y_%7BB%7D%29%5E%7B2%7D%7D%5C%5C%5C%5C%5C%5C%0Ad%28A%2CB%29%3D+%5Csqrt%7B%288%2B4%29%5E%7B2%7D%2B%283-8%29%5E%7B2%7D%7D+%5C%5C%5C%5C%5C%5C%0Ad%28A%2CB%29%3D+%5Csqrt%7B%2812%29%5E%7B2%7D%2B%28-5%29%5E%7B2%7D%7D+%5C%5C%5C%5C%5C%5C%0Ad%28A%2CB%29%3D+%5Csqrt%7B144%2B25%7D%5C%5C%5C%5C%5C%0Ad%28A%2CB%29%3D+%5Csqrt%7B169%7D%5C%5C%5C%5C%5C%0Ad%28A%2CB%29%3D13%0A+ "d(A,B)= \sqrt{(x_{A}- x_{B})^{2}+(y_{A}-y_{B})^{2}}\\\\\\
d(A,B)= \sqrt{(8+4)^{2}+(3-8)^{2}} \\\\\\
d(A,B)= \sqrt{(12)^{2}+(-5)^{2}} \\\\\\
d(A,B)= \sqrt{144+25}\\\\\
d(A,B)= \sqrt{169}\\\\\
d(A,B)=13")
Boa noite!
Bons estudos!
Solução!
Formula da distância!
Boa noite!
Bons estudos!
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