Answer:
√3
Step-by-step explanation:
The given expression to be simplified is

but


Since √12=2√3,this implies that,

Therefore,



The simplified form of ,
is √3
Answer:
Step-by-step explanation:
N is between points M and O
MN = x
MO = 3x - 6
NO = x + 1
The way it reads MN + NO = MO
x + x + 1 = 3x - 6
2x + 1 = 3x - 6
2x - 2x +1 = 3x -2x - 6
1 = x - 6
1 + 6 = x
x = 7
MO = 3x - 6
MO = 3*7 - 6
MO = 21 - 6
MO = 15
Answer:
C.) 4
Step-by-step explanation:
y2 - y1/x2 - x1
m = 160 - 80/60 - 40
m = 80/20
m = 8/2
m = 4/1
m = 4
If you want to check if your answer is correct, expanding it all out will help!
(x-6)(x+2)=0 <-- Use FOIL tactic
x²+2x-6x-12=0
x²-4x-12=0
As you can see, this is identical to the initial equation given. The x values would be 6 and -2, as seen from the factored equation.
Hope I helped :)
Answer:
See below.
Step-by-step explanation:
So, we have:

Recall that secant is simply the reciprocal of cosine. So we can:

Now, recall the unit circle. Since cosine is negative, it must be in Quadrants II and/or III. The numerator is the square root of 3. The denominator is 2. The whole thing is negative. Therefore, this means that 150 or 5π/6 is a candidate. Therefore, due to reference angles, 180+30=210 or 7π/6 is also a candidate.
Therefore, the possible values for theta is
5π/6 +2nπ
and
7π/6 + 2nπ