Answer:
n = (1/2)(-1 ± i√2)
Step-by-step explanation:
Among the several ways in which quadratic equations can be solved is the quadratic formula. Putting to use the coefficients {12, 12, 9}, we obtain the discriminant, b^2 - 4ac: 12^2 - 4(12)(9) = 144 - 432 = -288. The negative sign of this discriminant tells us that the quadratic has two unequal, complex roots. These roots are:
-b ± √(discriminant)
n = ---------------------------------
2a
Here we have:
-12 ± √(-288) -12 ± i√2√144 -12 ± i12√2
n = ---------------------- = ------------------------ = --------------------
2(12) 24 24
or:
n = (1/2)(-1 ± i√2)
Option a is correct answer.
x= 9
Answer: The line y = - 68.7x - 5.1
Step-by-step explanation:
Answer:
3053.6 mm³
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³ . . . . . where r is the radius, half the diameter
__
For the given sphere, the volume is ...
V = 4/3π(9 mm)³ = 972π mm³ ≈ 3053.6 mm³
