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Boa noite Valeria!
Solução!
![d(A,B)= \sqrt{( x_{B}- x_{A})^{2}+(y_{B}-y_{A})^{2} } \\\\\\\
A(6,9)\\\\\\
B(-5,0)\\\\\\\\\
d(A,B)= \sqrt{( -5- 6)^{2}+(0-9)^{2} } \\\\\\\
d(A,B)= \sqrt{( -11)^{2}+(-9)^{2} } \\\\\\\
d(A,B)= \sqrt{121+81 } \\\\\\\
\boxed{d(A,B)= \sqrt{202 }} \\\\\\\](https://tex.z-dn.net/?f=d%28A%2CB%29%3D+%5Csqrt%7B%28+x_%7BB%7D-+x_%7BA%7D%29%5E%7B2%7D%2B%28y_%7BB%7D-y_%7BA%7D%29%5E%7B2%7D+%7D+%5C%5C%5C%5C%5C%5C%5C%0AA%286%2C9%29%5C%5C%5C%5C%5C%5C%0AB%28-5%2C0%29%5C%5C%5C%5C%5C%5C%5C%5C%5C%0Ad%28A%2CB%29%3D+%5Csqrt%7B%28+-5-+6%29%5E%7B2%7D%2B%280-9%29%5E%7B2%7D+%7D+%5C%5C%5C%5C%5C%5C%5C%0Ad%28A%2CB%29%3D+%5Csqrt%7B%28+-11%29%5E%7B2%7D%2B%28-9%29%5E%7B2%7D+%7D+%5C%5C%5C%5C%5C%5C%5C%0Ad%28A%2CB%29%3D+%5Csqrt%7B121%2B81+%7D+%5C%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7Bd%28A%2CB%29%3D+%5Csqrt%7B202+%7D%7D+%5C%5C%5C%5C%5C%5C%5C%0A%0A "d(A,B)= \sqrt{( x_{B}- x_{A})^{2}+(y_{B}-y_{A})^{2} } \\\\\\\
A(6,9)\\\\\\
B(-5,0)\\\\\\\\\
d(A,B)= \sqrt{( -5- 6)^{2}+(0-9)^{2} } \\\\\\\
d(A,B)= \sqrt{( -11)^{2}+(-9)^{2} } \\\\\\\
d(A,B)= \sqrt{121+81 } \\\\\\\
\boxed{d(A,B)= \sqrt{202 }} \\\\\\\")
Boa noite!
Bons estudos!
Solução!
Boa noite!
Bons estudos!
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