Answer:
neither perpendicular or parallel
Step-by-step explanation:
Since -5 and -5 are the same number, they are on the same y axis so the only distance we need to calculate is between the X coordinates.
When looking for distance, you can not have a negative. what |-3|+|9| is looking for is the distance from 0 on the X axis. since distance can't be negative, (you go 3 miles away from your house in one direction, vs 3 miles in the opposite. both ways is positive, even with opposite directions. same with axis, it doesnt matter which way, only the number.) you need the absolute value of -3 to get the distance from the 0 on the x axis.
short version: distance is positive, and its adding the distances from the x axis to get distance from each other
Step-by-step explanation:
All you need to do is divide cost by mile since they already factored in the additional $3 for you.
1. 8/5 = $1.60
2. 11/8 = $1.375 = $1.38
3. 23/20 = $1.15
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: The 4 answers are x=18, x=3, x=48, x=81 1/2.
Step-by-step explanation: Isolate the variable by dividing by each side by factors that don't contain the variable.
