Given that the area of this square is 361 ft^2, the side length is √(361 ft^2), or 19 ft.
Answer:

Step-by-step explanation:
You have the following differential equation:
(1)
In order to find the solution to the equation, you can use the method of the characteristic polynomial.
The characteristic polynomial of the given differential equation is:

The solution of the differential equation is:
(2)
where m1 and m2 are the roots of the characteristic polynomial.
You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:

Option D is the correct answer.
Step-by-step explanation:
Step 1 :
Let A represent the cost of one bucket of apple and P represent the cost of one bucket of peaches.
So we have ,
4 buckets of apples and 5 buckets of peaches for $64
8 buckets of apples and 3 buckets of peaches for $72
Writing this in the equation form we have,
4A + 5P = 64
8A + 3P = 72
Step 2:
Solving for the above 2 equations we can get the required costs
Equation 1 is
4A + 5P = 64 , Multiplying this by 2 we have 8A + 10P = 128
Equation 2 = 8A + 3P = 72
Subtracting both we have , 7p = 56 = > P = 8
Substituting this in equation 1 we have
8A + 80 = 128 => A = 6
Hence the cost of one bucket of apple is $6 and the cost of one bucket of apple is $8.
Option D is the correct answer.
Answer:

Step-by-step explanation:
The given equality is

Take the term
to the left hand side. This means the term
will be divided by 

Now since both the numerator and denominator have negative sign the value of fraction will be positive.

Now
and 

So, the missing factor 
Answer:
<h2>Check out the image.</h2>
Step-by-step explanation:
Let, the equation of the straight line is y = mx + c; where m is the slope of the equation and c is the constant.
The line has the slope 1.
Hence, the equation becomes y = x + c.
Since, the line passes through (-6, -2), -2 = -6 + c or, c = 4.
Hence, the equation of the straight line becomes y = x + 4.
Putting x = 0, we get, y = 4.
The line passes through (0, 4).