The record for the fastest speed on a bicycle is 133 kilometers per hour. How long would it take a person traveling at this speed to travel 365.75 kilometer

2 hours 45 minutes

Step-by-step explanation:

In this question, we are asked to calculate the time that it would take for a person traveling at a certain speed to cover a certain distance.

Mathematically, we should know that distance and time are related by the equation:

Time = distance/speed

In this question, the distance is a total of 365.75km while the speed is 133km/h

The time taken is thus equals = 365.75/133 = 2.75 hours or 2 hours 45 minutes

step-by-step explanation:

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let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0