

____________________________________





The two cases are :
or
- a -4 = 0, that leads to a = 4
We can conclude :

Answered by : ❝ AǫᴜᴀWɪᴢ ❞
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:
2. 16
3. 46
4. 59
Step-by-step explanation:
5.The measure of smaller angle is 87 degrees.
Step-by-step explanation:
Consider the provided information.
The provided angles are 3x degree and 2x + 25 degree.
Two angles are said to be Supplementary angles if their sum is 180 degree.
It is given that the provided angle are supplementary angles, thus
3x + 2x + 25 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
x = 31
Now, substitute the value of x in first angle i.e 3x.
3(31) = 93
Substitute the value of x in the second angle i.e 2x + 25
2(31) + 25 = 62 + 25 = 87
Hence, the measure of smaller angle is 87 degrees.
Step-by-step explanation:
I think c is right answer
25•24•23=13,000 ways
message me for any questions!