Answer:
one way
Step-by-step explanation:
2 quarters
4 dimes
1 nickel
Answer:
Factor the numerator and denominator and cancel out the common factors.
x
^2
−
3 is your final answer.
Step-by-step explanation:
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Answer:
-2n²
Step-by-step explanation:
Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
To find the value of a we just divide second difference ( -4 ) by 2:
Now we have:
Substitute 
and 
into the equation above:
Since 
= -2 and 
= -8 , after simplification we have:
The solution of this system is:
The general term is :
Answer:
There are two ways to do this problem algebraically or trigonometrically.
Algebraically/geometrically
The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.
The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3
Using Trig.
We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).
Therefore, sin(pi/3) = 6/r =
r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3
