Distance = SQRT(x^2+y^2)
x = 4 - (-2) = 6
y = 3 - 2 = 1
distance = SQRT(6^2 + 1^2) = SQRT(36+1) = SQRT(37) = 6.1
Rewrite s = 4 + sqrt(s+2) as s-4 = sqrt(s+2)
Square both sides: s^2 - 8s + 16 = s + 2
combine like terms: s^2 - 9s + 14 = 0
Factor this: (s-7)(s-2)=0
Solve for s: s={7, 2}
The answer is 376$ because 47 x 8.00 = 376$
