Answer:
40
Step-by-step explanation:
(2x+1/(2x))^5 *(2x -1/(2x))^5
= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2
= (4x^2-1/4(x)^2)^5
now
x =4x^2. ,a = 1/4(x)^2 ,n =5
we have
general term = Cr *x^r *a^(n-r)
= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)
= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)
= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)
= Cr * 4(2r-n) *x(4r-2n)
now for x^2
4r-2n = 2
4r -10=2
4r =12
r = 3
now for coeff
C(5,3) * 4^(2*3-5)
5!/(3!*(5-3)!) * 4
5*4/(2*1)*4
40
To factor this you need values that add up to 2 and multiply to -15
So you get 5,-3 then you put it into your equation for you b value
X^2+5x-3x-15
Then you can factor by grouping
X(x+5)-3(x+5)
So your factors are
(X+5)(x-3)
−3(1+x)=−3x+1
Step 1: Simplify both sides of the equation.
−3(1+x)=−3x+1
(−3)(1)+(-3)(X)=-3x+1
(Distribute)
−3+ −3x=−3x+1
−3x−3=−3x+1
Step 2: Add 3x to both sides.
−3x−3+3x=-3x+1+3x
−3=1
Step 3: Add 3 to both sides.
−3+3=1+3
0=4
Answer:
There are no solutions.
Answer:
483.87yd^2
Step-by-step explanation:
Given data
Height= 4yd
Radius= 7yd
The expression for the surface area of a cylinder is given as
Surface area= 2πr (4+ 7)
Surface area= 2*π*7 (4 + 7)
Surface area = 14π (11)
Surface area= 154*3.142
Surface area= 483.87yd^2
Hence the surface area is 483.87yd^2