You can solve this easily by using Pascal's Triangle (look that up if need be).
Here are the first four rows of P. Triangle:
1
1 1
1 2 1
1 3 3 1
example: expand (a+b)^3.
Look at the 4th row. Borrow and use those coefficients:
1a^3 + 3 a^2b + 3ab^2 + b^3
Now expand (4x+3y)^3:
1(4x)^3 + 3(4x)^2(3y) + 3(4x)*(3y)^2 + (3y)^3
Look at the 2nd term (above):
3(4x)^2(3y) can be re-written as 144x^2y.
The coeff of the 2nd term is 144. Note that (4)^2 = 16
All you need to do with this problem is convert
into a square root. Then you'll get the answer
.
Answer:
it will take her
minutes more to walk down to Raj's House
Step-by-step explanation:
It took Sheldon
minutes to walk to Raj's house
It also took Sheldon
minutes to use the bus.
To get the time difference between the two transport mechanisms, we subtract their different time durations.
This will be

We can convert this to Mixed fractions as shown
minutes.
Therefore, it will take her
minutes more to walk down to Raj's House
<span> -14x + 11y = 23
+2(7x - 3y = 37)
----------------------
0 + 5y = 97
y = 97/5
y = 19.4
7x - 3(19.4) = 37
7x - 58.2 = 37
7x = 37 + 58.2
7x = 95.2
x = 95.2/7
x = 13.6
Check
-14(13.6) + 11(19.4) = 23
-190.4 + 213.4 = 23
</span>
Answer:
Option B
Step-by-step explanation:
A unit circle means radius of the circle = 1 unit
Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.
Center of the circle is origin (0, 0).
Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = 
OP.Cosθ = 1×Cosθ = 
Cosθ =
θ =
,
where n = integers
Similarly, OP×Sinθ = 1×Sinθ = -
Sinθ = -
θ =
,
where n = integer
Common value of θ will be, θ = 
Option B will be the answer.