Answer:
B = j + H
Step-by-step explanation:
Given:
j = - H + B
Solve the equation for B
j = - H + B
Add H to both sides of the equation
j + H = - H + B + H
j + H = B
B = j + H
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:
1/12 of a mile.
Step-by-step explanation:
1. Find a common denominator. In this instance, we can use the denominator of 12 because both 3 and 4 are multiples of 12.
2. Multiply each fraction (numerator and denominator) to convert them.
1/3(4/4) = 4/12
1/4(3/3) = 3/12
3. Subtract.
4/12－3/12 = 1/12
Answer: 5
One half of 10 is 10/2 or 1/2(10)
10/2 = 5
1/2(10) = 5
