Answer:
c) (x + 2)(x + 2i)(x - 2i)
Step-by-step explanation:
x^3 + 2x^2 + 4x + 8
= (x^3 + 2x^2) + (4x + 8)
= x^2( x + 2) + 4(x + 2)
= (x + 2)(x^2 + 4)
= (x + 2)(x^2 - 4i^2) ---------------------------->(i^2 = -1)
= (x + 2)(x + 2i)(x - 2i)
For an inscribed angle like angle AHB, the measure will be half of the intercepted arc which we can see is 90 degrees.. therefore the measure of angle AHB is 45 degrees.
Answer:
A,D,E, and F
Step-by-step explanation:
The nth term of the geometric sequence is:
an=ar^(n-1)
where
a=first term
r=common ratio
n=nth term
from the question:
120=ar(3-1)
120=ar^2
a=120/(r^2)....i
also:
76.8=ar^(5-1)
76.8=ar^4
a=76.8/r^4.....i
thus from i and ii
120/r^2=76.8/r^4
from above we can have:
120=76.8/r²
120r²=76.8
r²=76.8/120
r²=0.64
r=√0.64
r=0.8
hence:
a=120/(0.64)=187.5
therefore the formula for the series will be:
an=187.5r^0.8
