"He starts both trains at the same time. Train A returns to its starting point every 12 seconds and Train B returns to its starting point every 9 seconds". Basically, what you need to do is find the least common multiple. The least common multiple of 12 and 9 is 36, so the least amount of time, in seconds, that both trains will arrive at the starting points at the same time is 36 seconds.
Answer:
y-2 = -2(x+1)
Step-by-step explanation:
Find the slope(m) first using the two points (3, -6) and (-1, 2).
Slope: -2
Next, plug in x₁ and y₁. I plugged in (-1, 2)
Answer: 2/5
Step-by-step explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
The, multiply the numerators and denominators and get 12/30, then simply by 6 and get 2/5
2(6y - 5) - 3y = 2
12y - 10 - 3y = 2
9y - 10 = 2
9y = 12
y = 4/3, or 1 1/3
2x - 3(4/3) = 2
2x - 12/3 = 2
2x - 4 = 2
2x = 6
x = 3
Graph B represents a proportional relationship.
