Answer:
C. 10z(x - 2y)
Step-by-step explanation:
10xz − 20y
Factor the terms
Factors of 10xz = 2 × 5 × x × z
Factors of -20yz = (-1) × 2 × 2 × 5 × y × z
Identify their greatest common factor
The common factors are 2, 5, and z. The greatest common factor is 10z.
Rewrite them with the GCF as a factor
10xz = 10z × x
-20yz = 10z × (-2y)
Replace the terms in the original expression with the factored terms
10xz − 20yz = 10z(x) + 10z(-2y)
Use the distributive property to isolate the greatest common factor
10z(x) + 10z(-2y) = 10z(x - 2y)
Solution in the attachment.
![\det\left[\begin{array}{ccc}4&2&-3\\5&-6&1\\0&2&-1\end{array}\right]=4\cdot\left|\begin{array}{ccc}-6&1\\2&-1\end{array}\right|-2\cdot\left|\begin{array}{ccc}5&1\\0&-1\end{array}\right|-3\cdot\left|\begin{array}{ccc}5&-6\\0&2\end{array}\right|](https://tex.z-dn.net/?f=%20%5Cdet%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%262%26-3%5C%5C5%26-6%261%5C%5C0%262%26-1%5Cend%7Barray%7D%5Cright%5D%3D4%5Ccdot%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D-6%261%5C%5C2%26-1%5Cend%7Barray%7D%5Cright%7C-2%5Ccdot%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D5%261%5C%5C0%26-1%5Cend%7Barray%7D%5Cright%7C-3%5Ccdot%5Cleft%7C%5Cbegin%7Barray%7D%7Bccc%7D5%26-6%5C%5C0%262%5Cend%7Barray%7D%5Cright%7C%20)
You have the following equation for the cost of renting a car for x number of miles driven:
y = 0.15x + 65
If you travel 70 miles, then, x = 70 and you obtain for the cost y:
y = 0.15(70) + 65
y = 10.5 + 65
y = 75.5
Hence, the cost of renting a car to drive 70 miles is $75.5
Applying parallel line postulate twice
36degree=3x degree +2y degree
126 degrees=12 x degree + 2y degree
So, the two equations are:
3x + 2y = 36
and
12x + 2y = 126
Eliminate x to solve for y
-(3x + 2y)= -(36)
-3x - 2y = -36
Combine the equations
(-3x - 2y)+ (12x + 2y) = (-36) + (126)
-3x -2y + 12x + 2y = -36 + 126
9x = 90
x = 10
Plug value of x back into to the equations to solve for y
3(10) + 2y = 36
30 + 2y = 36
2y =6
y = 3
Optional
Plug x into the other equation to check for error
12(10) +2y = 126
120 + 2y =126
2y = 6
y = 3
Your answer will be
42.054x+50.367
Your final answer will be
x=-1.197674419
