Question

Distance between (-4, 6) and (3, 7)

Answer 1

Answer: $5\sqrt{2}$

Step-by-step explanation:

$Distance\ formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }$

plugging in the values we know:

$x_2 = 3,\ x_1=-4,\ y_2=7,\ y_1=6$

Therefore,

$Distance=\sqrt{(3-(-4))^2+(7-6)^2}$

$\rightarrow\ \sqrt{(3+4)^2+(1)^2}$

$\rightarrow\ \sqrt{7^2+1}$

$\rightarrow\ \sqrt{50}$

$\rightarrow\ \sqrt{5\times5\times2}$

$\rightarrow\ \large\boxed{5\sqrt{2}}$