Respuesta :
option (b) 15 seconds is the right answer.
Viable time that the trains are side by side is 15 seconds.
What exactly is an equation system?
When two or more variables are related to one another and equations are constructed to determine each variable's value, the result is a system of equations.
In this problem, the equations are:
y = 14[tex]t^{2}[/tex]
y = 130t + 1200
They will be side by side when:
14[tex]t^{2}[/tex] = 130t + 1200
14[tex]t^{2}[/tex] - 130t - 1200 = 0
It's solution is a quadratic function with coefficients
a = 14, b = -130, c = -1200, hence:
Δ = [tex](-130)^{2}[/tex] - 4(14)(1200) = 84100
[tex]x_{1}[/tex] = [tex]\frac{130+\sqrt{84100} }{28}[/tex] = 15
[tex]x_{2}[/tex] = [tex]\frac{130 -\sqrt{84100} }{28}[/tex] = -5.71
Time is a non-negative measure, hence option B is correct.
To learn more about system of equation visit:
https://brainly.com/question/12895249
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