Answer:
a = 5, b = -12
Step-by-step explanation:
By basic factoring, you get 9 - 12i +
. Since
is simply -1, the expression evaluates to 9 - 12i - 4, which is 5 - 12i.
Answer:

Step-by-step explanation:
Given voltage of primary coil is 
And voltage of secondary coil is 
A transformer is a device that contains primary and secondary coil. These coils are mounted on soft iron. The change in voltage depends upon the number of turns of primary coil
and secondary coil
.
Following equation represents the relation between them.

Then, ratio of the number of wire turns on the primary coil to the number of turns on the secondary coil is

Answer:
x = 1 and y = 2
Step-by-step explanation:
Let apples are represented by x
and let oranges are represented by y
You purchase 5 pounds of apples and 2 pounds of oranges for $9. This line in equation format can be written as:
5x + 2y = 9
Your friend purchases 5 pounds of apples and 6 pounds of oranges for $17.
This line in equation format can be written as:
5x + 6y = 17
Now we have two equations:
5x + 2y = 9 -> eq (i)
5x + 6y = 17 -> eq(ii)
We can solve these equations to find the value of x and y.
Subtracting eq(i) from eq(ii)
5x + 6y = 17
5x + 2y = 9
- - -
_________
0+4y= 8
=> 4y = 8
y= 8/4
y = 2
Now, putting value of y in eq (i)
5x + 2y = 9
5x +2(2) = 9
5x +4 = 9
5x = 9-4
5x = 5
x = 1
so, x = 1 and y = 2
The solution for the system of equations are:

Attached is the graph of lines y=3x-2 and y=-2x+5.