For this case we propose a system of equations:
x: Let the variable representing the age of the first child of the Smiths
y: Let the variable representing the age of the second child of the Smiths
According to the data of the statement we have to:
From the first equation we have to:
We substitute in the second equation:
We find the solutions by factoring:
We look for two numbers that, when multiplied, result in 132 and when added, result in 23. These numbers are 11 and 12.
Thus, we have that the factorized equation is:
Thus, the solutions are:
So, we can take any of the solutions:
With 
Then
Therefore, the ages of the children are 11 and 12 respectively.
Answer:
The ages of the children are 11 and 12 respectively.
Answer:
-1/5x -4/5 = y
Step-by-step explanation:
f(x) = -5x -4
y = -5x-4
Switch x and y
x = -5y -4
Solve for y
Add 4
x+4 = -5y
Divide by -5
-1/5x - 4/5 = -5y/-5
-1/5x -4/5 = y
Janice is currently 4.
In 12 years, Janice will be 16, and 2 years ago she was 2. That being said, 16 is eight times more than 2, thus meaning she is currently 4 years old.
I hope this helps!
Answer:
Therefore 20 degree is in First Quadrant,
i.e Quadrant I.
Step-by-step explanation:
QUADRANT:
When the terminal arm of an angle starts from the x-axis in the anticlockwise direction then the angles are always positive angles.
Quadrant I - 0° to 90°
Quadrant II - 90° to 180°
Quadrant III - 180° to 270°
Quadrant IV - 270° to 360°
Therefore 20 degree is in First Quadrant, i.e Quadrant I.
When the terminal arm of an angle starts from the x-axis in the clockwise direction than the angles are negative angles.
Quadrant IV - 0° to -90°
Quadrant III - -90° to -180°
Quadrant II - -180° to -270°
Quadrant I - -270° to -360°
Answer:
Option A 
Step-by-step explanation:
we know that
To divide complex numbers, you must multiply by the conjugate.
we have
To find the conjugate, change the sign between the two terms in the denominator
so
