Answer:
6) 2/3
7) 1/2
8) 5/8
9) 3/4
10) 1
11) 1
12) 7/12
Hope this helps :^)
Step-by-step explanation:
X+x²=30
x²+x-30=0
(x+6)(x-5)=0
x=-6 or x=5
Answer:
4cotα=tanα
4(1/tanα)=tanα
(4/tanα)=tanα
cross multiply
=> 4=tan²α
√4=√tan²α
±2=tanα
α=arc( tan) |2|
α=63.4° ( in first quadrant)
and
α=180+63.4=243.4 in the third quadrant
since we also found a negative answer( i.e –2) then α also lies in quadrants where it gives a negative value(i.e second and fourth quadrants)
α=180–63.4=116.6° in the second quadrant
α=360–63.4=296.6 in the fourth quadrant
therefore theta( in my case, alpha) lies in all four quadrants and is equal to:
α=63.4°,243.4°,116.6°and 296.6°
Answer:
The value of k is 1.
Step-by-step explanation:
x – 1 is a factor of f(x)
This means that:
x - 1 = 0
x = 1
That means that when 
. We use this to find the value of k.
f(x) = 3x^3 - 4x + k
The value of k is 1.
Answer:
C
Step-by-step explanation:
