Two bikers simultaneously started towards each other from two cities that are 232 km apart. They met 8 hours later. What was the
1 answer:
First we need to determine how far the first biker was able to go.
This means that the first biker was able to travel 104km, so now we need to find out how far the second biker was able to go. Becasue they both had to meet, we need to subtract the first bikers distance from the total distance between the cities.
Meaning that the distance that the second biker traveled 128km.
Because
we just need to plug the second bikers stats into the equation to find out their speed.
This means that the first biker was able to travel 104km, so now we need to find out how far the second biker was able to go. Becasue they both had to meet, we need to subtract the first bikers distance from the total distance between the cities.
Meaning that the distance that the second biker traveled 128km.
Because
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Step-by-step explanation:
In this problem, we have the following linear equations:
y=3x+5
y=ax+b
We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.
1. What values for a and b make the system inconsistent?
A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:
a=3
for any value of b
2. What values for a and b make the system consistent and dependent?
A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:
a=3 and b=5
