Answer:
30 m/s
Step-by-step explanation:
Let's say the distance from the first car to the intersection is x, and the distance from the second car to the intersection is y.
The distance between the cars can be found with Pythagorean theorem:
d² = x² + y²
Taking derivative with respect to time:
2d dd/dt = 2x dx/dt + 2y dy/dt
d dd/dt = x dx/dt + y dy/dt
We know that x = 200, dx/dt = -25, y = 150, and dy/dt = -50/3.
To find dd/dt, we still need to find d.
d² = x² + y²
d² = (200)² + (150)²
d = 250
Plugging everything in:
250 dd/dt = (200) (-25) + (150) (-50/3)
dd/dt = -30
The cars are approaching each other at a rate of 30 m/s at that instant.
Answer:
-4, 2, -1
Step-by-step explanation:
everything is being multiplied by -1/2
32 × -1/2 = -16
-16 × -1/2 = 8
So 8 × -1/2 = -4
Answer:
x - 2
Step-by-step explanation:
2x - 1 + 4x - 11
First, you want to combine like terms.
We can see that the one and eleven can go together, so add them together.
2x + 4x - 12
The reason that we made one, and eleven, negative twelve, is because they are both being subtracted from the numbers before that.
6x - 12
We added the 2x, and the 4x together to make 6x.
Another way to write this would be x - 2, because you can simplify it by dividing it by 6.
Commutative property is "a + b = b + a"
Therefore your answer is 1. 5 + 6 = 6 + 5
