Answer:
4metres
Step-by-step explanation:
Given the height of the trail modeled by the function h(x) = -0.1x^2 - 0.3x +2.8 , where x is the horizontal distance in kilometers
The horizontal distance occurs at the x intercept i.e at h(x) = 0
Substitute
0 = -0.1x^2 - 0.3x +2.8 ,
Multiply through by -10
0 = x^2 + 3x - 28
x^2 + 3x - 28 = 0
Factorize
x^2 + 7x - 4x - 28 = 0
x(x+7) - 4 (x+7) = 0
(x-4)(x+7) = 0
x-4 = 0 and x+7 = 0
x = 4 and -7
Since the danced cannot be negative, hence the horizontal distance of the trail is 4m
