What is the distance between points A and E?
A. 2.8
B. 3.2
C. 4.9
D. 5.7

Answer:
D
Step-by-step explanation:
A(3, 4) ; B(-1 , 0)
Distance= [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
= [tex]\sqrt{(-1-3)^{2}+(4-0)^{2}}\\\\=\sqrt{(-4)^{2}+(4)^{2}}\\\\=\sqrt{16+16}\\\\=\sqrt{32}\\\\=\sqrt{2*2*2*2*2}\\\\=2*2\sqrt{2}=4\sqrt{2}[/tex]
= 4 * 1.4142
= 5.6568
= 5.7