Question

calcule a distância entre os pontos de cada item:
a) D(-4,-2) e E (0,3)
b) C (4V3,5) e B ( 6V3, 3)
obs: o V significa que é raiz quadrada.

Answer 1

a)

$D~(-4,-2)\\E~(0,3)\\\\d_{DE}=\sqrt{(x_{D}-x_{E})^{2}+(y_{D}-y_{E})^{2}}\\d_{DE}=\sqrt{(-4-0)^{2}+(-2-3)^{2}}\\d_{DE}=\sqrt{(-4)^{2}+(-5)^{2}}\\d_{DE}=\sqrt{16+25}\\d_{DE}=\sqrt{41}$

b)

$C~(4\sqrt{3},5)\\B~(6\sqrt{3},3)\\\\d_{CB}=\sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}\\d_{CB}=\sqrt{(4\sqrt{3}-6\sqrt{3})^{2}+(5-3)^{2}}\\d_{CB}=\sqrt{(-2\sqrt{3})^{2}+2^{2}}\\d_{CB}=\sqrt{(-2)^{2}\sqrt{3}^{2}+4}\\d_{CB}=\sqrt{4*3+4}\\d_{CB}=\sqrt{12+4}\\d_{CB}=\sqrt{16}\\d_{CB}=4$