Question

((-2,3) and (4,7) what is the distance of this

Answer 1

Answer:

Step-by-step explanation:

(-2, 3 )     ; (4 , 7)

Distance = $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

               $=\sqrt{(4-[-2])^{2}+(7-3)^{2}}\\\\=\sqrt{(4+2)^{2}+(7-3)^{2}}\\\\=\sqrt{6^{2}+4^{2}}\\\\=\sqrt{36+16}\\\\=\sqrt{52}\\\\=\sqrt{2*2*13}\\\\=2\sqrt{13}$