Answer:

Step-by-step explanation:
More than five lol sorry I am only trying to help
Answer:
Horizontal distance = 0 m and 6 m
Step-by-step explanation:
Height of a rider in a roller coaster has been defined by the equation,
y = 
Here x = rider's horizontal distance from the start of the ride
i). 

![=\frac{1}{3}[x^{2}-2(3x)+9-9+24]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5Bx%5E%7B2%7D-2%283x%29%2B9-9%2B24%5D)
![=\frac{1}{3}[(x^{2}-2(3x)+9)+15]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5B%28x%5E%7B2%7D-2%283x%29%2B9%29%2B15%5D)
![=\frac{1}{3}[(x-3)^2+15]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5B%28x-3%29%5E2%2B15%5D)

ii). Since, the parabolic graph for the given equation opens upwards,
Vertex of the parabola will be the lowest point of the rider on the roller coaster.
From the equation,
Vertex → (3, 5)
Therefore, minimum height of the rider will be the y-coordinate of the vertex.
Minimum height of the rider = 5 m
iii). If h = 8 m,


(x - 3)² = 9
x = 3 ± 3
x = 0, 6 m
Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m
Answer:
Step-by-step explanation:
(8,2),(11,-13)
slope(m) = (-13 - 2) / (11 - 8) = -15/3 = -5
y = mx + b
slope(m) = -5
(8,2)...x = 8 and y = 2
now we sub and find b, the y int
2 = -5(8) + b
2 = -40 + b
2 + 40 = b
42 = b
so ur equation is : y = -5x + 42...now we need it in standard form
Ax + By = C
y = -5x 42
5x + y = 42 <====
I'd like to assume that the triangle is a right triangle and you solve for x so...
133 + c = 180 (supplementary property to find one angle of triangle)
c = 47
x = 180 - 90 - 47 (int. angles of triangle = 180)
= 90 - 47
= 43
Therefore, x is 43 degrees