For all exponents, (a^n a^m) = a^(n+m)
apply same rules (X^3X^2)/(4*3)
Combine powers. (X^3X^2)/4*3 = X^(3+2)/4*3
X^5/12
3 parts water
clean:water=1:3
1:3=xcleaner:1gallon
1/3=xcleaner/1gallon
times 3gallon both sides
1gallon=3xcleaner
divide both sides by 3
1/3 gallon=xcleaner
therfor you need 1/3 gallon of cleaner
Geometric sequence is a sequence of numbers that have a common ratio between them.
Answer:
x = 1
Step-by-step explanation:
Given the matrix;
![-2\left[\begin{array}{ccc}x&-1\\3&5\end{array}\right] + \left[\begin{array}{ccc}3&8\\-1&6\end{array}\right] = \left[\begin{array}{ccc}x&10\\-7&-4\end{array}\right]](https://tex.z-dn.net/?f=-2%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26-1%5C%5C3%265%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%268%5C%5C-1%266%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%2610%5C%5C-7%26-4%5Cend%7Barray%7D%5Cright%5D)
Converting to equations
From the first row of each matrices
-2x + 3 = x
Collect the like terms
-2x - x = -3
-3x = -3
x = -3/-3
x = 1
Hence the value of x is 1
Perimeter = 16.1 + 6.32 + 8.0 + 13 = 43.42 inches
