For this case we find the slopes of each of the lines:
The g line passes through the following points:
So, the slope is:
Line h passes through the following points:
So, the slope is:
By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.
It is observed that lines g and h are not parallel. We verify if they are perpendicular:
Thus, the lines are perpendicular.
Answer:
The lines are perpendicular.
Answer:
$1,229.75
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 3.25% into a decimal:
3.25% -> 
-> 0.0325
Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:
Lastly, subtract A from P to get the interest earned:
Alright, as we can see the large rectangle's area is 4x² + 9x + 2.
You can also see that gray rectangle's area inside the larger rectangle is
x² + 4x + 3.
So if we want to find the white area in-between the two rectangles we will need to SUBTRACT the two formulas! (Subtract the large rectangle from the smaller one)
To do so we will need to subtract the like terms.
The like terms are 4x² and x², 9x and 4x, 2 and 3!
So first we do 4x² - x² and you get 3x²
Next, we do 9x - 4x and you get 5x
Lastly, we do 2 - 3 and you get -1
Now we put our solutions together and you get...
3x² + 5x - 1
This is the are for the white region of your problem. :D glad to help
Answer:125
Step-by-step explanation:
