Three million twenty nine and two hundred fifty one
Answer:
(4x - 3)(3x² + 1)
Step-by-step explanation:
Given
12x³ - 9x² + 4x - 3 ( factor the first/second and third/fourth terms )
= 3x²(4x - 3) + 1(4x - 3) ← factor out (4x - 3) from each term
= (4x - 3)(3x² + 1) ← in factored form
Answer:
Yes, that's right, a change in the direction of motion results in an acceleration even if the moving object neither sped up nor slowed down. That's because acceleration depends on the change in velocity and velocity is a vector quantity — one with both magnitude and direction.
Step-by-step explanation:
Rounded up, the answer is 395 centimeters sq.
Answer: First option: 800 feet
Solution:
Height: h=400 sqrt(3)
Distance between the zoo and the point in the ground below the helicopter: d1=?
Distance between the library and the point in the ground below the helicopter: d2=?
Distance between the zoo and the library: d=?
d=d2-d1
tan 60°= h/d1
sqrt(3)=400 sqrt(3) / d1
Solving for d1:
sqrt(3) d1 = 400 sqrt(3)
d1= 400 sqrt(3) / sqrt(3)
d1=400
tan 30°= h/d2
sqrt(3) / 3=400 sqrt(3) / d2
Solving for d2: Cross multiplication:
sqrt(3) d2 = 3 [ 400 sqrt(3) ]
sqrt(3) d2 = 1,200 sqrt(3)
d2= 1,200 sqrt(3) / sqrt(3)
d2=1,200
d=d2-d1
d=1,200 feet - 400 feet
d=800 feet