Answer:

Step-by-step explanation:

reduced
transformed the expression to make it easier
add
reduce
Answer:
B-is correct
Step-by-step explanation:
y=a(x-h)^2+k
-k -k
y-k=a(x-h)^2
:(x-h)^2 :(x-h)^2
(y-k)/(x-h)^2 =a
Answer:
A is correct
Step-by-step explanation:
Answer:
The rate at which the distance between the two cars is increasing is 30 mi/h
Step-by-step explanation:
Given;
speed of the first car, v₁ = 24 mi/h
speed of the second car, v₂ = 18 mi/h
Two hours later, the position of the cars is calculated as;
position of the first car, d₁ = 24 mi/h x 2 h = 48 mi
position of the second car, d₂ = 18 mi/h x 2 h = 36 mi
The displacement of the two car is calculated as;
displacement, d² = 48² + 36²
d² = 3600
d = √3600
d = 60 mi
The rate at which this displacement is changing = (60 mi) / (2h)
= 30 mi/h
Answer:
Area of triangle 12 ft^2 Area of shaded region 84 ft^2
Step-by-step explanation:
area of triangle 6 x 4 / 2 =12
Shaded region 96-12= 84 ft^2