Calcule a distância entre os pontos A(-2,3) e B(1,5) Esboce a situação no plano cartesiano indicando essa distância
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Solução!
![d(A,B)= \sqrt{( x_{A}- x_{B})^{2} +( y_{A}-y_{B})^{2}}\\\\\\\
A(-2,3)\\\\\\
B(1,5)\\\\\\\
d(A,B)= \sqrt{( -2- 1)^{2} +( 3-5)^{2}}\\\\\\\
d(A,B)= \sqrt{( -3)^{2} +( -2)^{2}}\\\\\\\
d(A,B)= \sqrt{9+4}\\\\\\\
d(A,B)= \sqrt{13}\\\\\\\](https://tex.z-dn.net/?f=d%28A%2CB%29%3D+%5Csqrt%7B%28+x_%7BA%7D-+x_%7BB%7D%29%5E%7B2%7D+%2B%28+y_%7BA%7D-y_%7BB%7D%29%5E%7B2%7D%7D%5C%5C%5C%5C%5C%5C%5C%0AA%28-2%2C3%29%5C%5C%5C%5C%5C%5C%0AB%281%2C5%29%5C%5C%5C%5C%5C%5C%5C%0Ad%28A%2CB%29%3D+%5Csqrt%7B%28+-2-+1%29%5E%7B2%7D+%2B%28+3-5%29%5E%7B2%7D%7D%5C%5C%5C%5C%5C%5C%5C%0Ad%28A%2CB%29%3D+%5Csqrt%7B%28+-3%29%5E%7B2%7D+%2B%28+-2%29%5E%7B2%7D%7D%5C%5C%5C%5C%5C%5C%5C%0Ad%28A%2CB%29%3D+%5Csqrt%7B9%2B4%7D%5C%5C%5C%5C%5C%5C%5C%0Ad%28A%2CB%29%3D+%5Csqrt%7B13%7D%5C%5C%5C%5C%5C%5C%5C "d(A,B)= \sqrt{( x_{A}- x_{B})^{2} +( y_{A}-y_{B})^{2}}\\\\\\\
A(-2,3)\\\\\\
B(1,5)\\\\\\\
d(A,B)= \sqrt{( -2- 1)^{2} +( 3-5)^{2}}\\\\\\\
d(A,B)= \sqrt{( -3)^{2} +( -2)^{2}}\\\\\\\
d(A,B)= \sqrt{9+4}\\\\\\\
d(A,B)= \sqrt{13}\\\\\\\")
Gráfico anexado!
Boa tarde!
Bons estudos!
Solução!
Gráfico anexado!
Boa tarde!
Bons estudos!
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