Solving the system of equations, it is found that a viable time that the trains are side by side is given by:
B. 15 sec
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the equations are:
![y = 14t^2](https://tex.z-dn.net/?f=y%20%3D%2014t%5E2)
![y = 130t + 1200](https://tex.z-dn.net/?f=y%20%3D%20130t%20%2B%201200)
They will be side by side when:
![14t^2 = 130t + 1200](https://tex.z-dn.net/?f=14t%5E2%20%3D%20130t%20%2B%201200)
![14t^2 - 130t - 1200 = 0](https://tex.z-dn.net/?f=14t%5E2%20-%20130t%20-%201200%20%3D%200)
It's solution is a quadratic function with coefficients a = 14, b = -130, c = -1200, hence:
![\Delta = (-130)^2 - 4(14)(-1200) = 84100](https://tex.z-dn.net/?f=%5CDelta%20%3D%20%28-130%29%5E2%20-%204%2814%29%28-1200%29%20%3D%2084100)
![x_1 = \frac{130 + \sqrt{84100}}{28} = 15](https://tex.z-dn.net/?f=x_1%20%3D%20%5Cfrac%7B130%20%2B%20%5Csqrt%7B84100%7D%7D%7B28%7D%20%3D%2015)
![x_2 = \frac{130 - \sqrt{84100}}{28} = -5.71](https://tex.z-dn.net/?f=x_2%20%3D%20%5Cfrac%7B130%20-%20%5Csqrt%7B84100%7D%7D%7B28%7D%20%3D%20-5.71)
Time is a non-negative measure, hence option B is correct.
More can be learned about a system of equations at brainly.com/question/24342899
Answer:
The answer to your question is: y = -54 / 11
Step-by-step explanation:
Data
A (3, 0)
B (12, -9)
r = 6/5
Formula
y = ![\frac{y1 + ry2}{1 +r}](https://tex.z-dn.net/?f=%5Cfrac%7By1%20%2B%20ry2%7D%7B1%20%2Br%7D)
y = ![\frac{0 + (6/5)(-9)}{1 + 6/5}](https://tex.z-dn.net/?f=%5Cfrac%7B0%20%2B%20%286%2F5%29%28-9%29%7D%7B1%20%2B%206%2F5%7D)
y = ![\frac{-54/ 5}{11/5}](https://tex.z-dn.net/?f=%5Cfrac%7B-54%2F%205%7D%7B11%2F5%7D)
y = -54/11
If the name of the function is pay, wtih nickname p, and the variable is the numbers of hours of training, then the expression for 20 hours of payment is pay (20) or p(20).
In this case pay or p is the dependent variable and hours is the independent variable.
Answer:
Eminem.
Rakim.
Nas.
Andre 3000.
Lauryn Hill.
Ghostface Killah.
Kendrick Lamar.
Lil Wayne
Step-by-step explanation:
Answer:
x=63+86
Step-by-step explanation:
due to circle theory