Answer:
x^2 /(x^2 -36)
Step-by-step explanation:
x/(x-6) ÷ (x+6) /x
Copy dot flip
x/(x-6) * x/(x+6)
x^2/ ( x-6)(x+6)
This is the difference of squares( a-b)(a+b) = a^2 -b^2
x^2 /(x^2 -36)
Expand
13x - 16 - 10x = 12 - 11x
Simplify 13x - 16 - 10x to 3x - 16
3x - 16 = 12 - 11x
Add 16 to both sides
3x = 12 - 11x + 16
Simplify 12 - 11x + 16 to -11x + 28
3x = -11x + 28
Add 11x to both sides
3x + 11x = 28
Simplify 3x + 11x to 14x
14x = 28
Divide both sides by 14
x = 28/14
Simplify 28/14 to 2
x = 2
Answer:
Step-by-step explanation:
Answer:
Sam will finish 42 pages in 126 minutes.
Step-by-step explanation:
Number of pages read by Sam = 6
Time taken to read these pages = 18 minutes
Rate at which Sam is reading the pages of the book = 
= 
=
pages per minute
Number of pages read in 126 minutes = Rate of reading × Time
= 
= 42 pages
Therefore, Sam will finish 42 pages in 126 minutes.
Answer:
a) 
b) 10
Step-by-step explanation:
a) Here 
Since the case
= ∇
holds, then
∇
= 
So, 
If we integrate
with respect to x, we will get an integration constant C which is also a function that depends to y and z.
Hence,

Now we need to find g(y,z).
So first let's take the derivative of g(y,z) with respect to y.

Hence, 
So now, if we integrate
with respect to y to find g(y,z)

Thus,

And since
, then 
Thus,

b) By the Fundamental Theorem of Line Integrals, we know that
![\int\limits^a_b F. dr = F[r(b)]-F[r(a)]](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20F.%20dr%20%3D%20F%5Br%28b%29%5D-F%5Br%28a%29%5D)
Hence,
![\int\limits^a_b F. dr = F(1,1,1)-F(0,0,0) =[(5+1+4)-(0+0+0)]=10](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20F.%20dr%20%3D%20F%281%2C1%2C1%29-F%280%2C0%2C0%29%20%3D%5B%285%2B1%2B4%29-%280%2B0%2B0%29%5D%3D10)