Answer:
(-3 , 1)(-2,4) (4,5) (2,0)
Step-by-step explanation:
Rotation around center (x₀ , y₀), counterclockwise rotation θ degree
x₂ = (x₁-x₀)cosθ - (y₁-y₀)sinθ + x₀
y₂ = (x₁-x₀)sinθ + (y₁-y₀)cosθ + y₀
A(-2.4) -> counterclockwise rotation 90°
F(x,y): x = (-2+1)cos90° - (4-2)sin90° + (-1) = -3
y = (-2+1)sin90° + (4-2)cos90° + 2 = 1
F (-3 , 1)
Use the above formula to calculate other 3 points: (-2,4) (4,5) (2,0)
Let be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are
where are the positions of trains A and B respectively, and t is the time in hours.
The two trains meet if and only if , and we know that this happens after two hours, i.e. at
Solving this equation for v we have
So, train A is travelling at 105 km/h. This implies that train B travels at
Answer:
The answer to your question is below
Step-by-step explanation:
C (-4, 3)
V (-4, 7)
asymptotes = 2 =
- This is a vertical hyperbola, the equation is
slope = 2
a is the distance from the center to the vertex = 4
b = 2(4) = 8