Answer:
(x - 4)×(x + 4)
Step-by-step explanation:
(x - 4)×(x + 4) = x^2 - 16
First we need to multiply inside the parenthesis one by one
Multiply x with (x + 4) and the result will be x^2 + 4x
Then multiply -4 with (x + 4) and result will be -4x - 16 we then add both of the result together by adding like terms
x^2 + 4x - 4x - 16 = x^2 - 16 (-4x eliminated 4x) therefore the answer to factorised form of x^2 - 16 is (x - 4)×(x + 4)
Step-by-step explanation:
The red line in the graph above measures the median home price, and this is often a better "average" for us to be used with home prices and home values. Unfortunately, it is not as easy to calculate and it does not work well with tiny data sets, so we often only see it used with very large data sets (like whole Cities, States, etc.) produced by the large real estate aggregators. Additionally, not many real estate agents know how to generate them for neighborhoods or zip codes (but we can at the Tallahassee Real Estate Blog :)).
Answer:
Step-by-step explanation:
We are asked to find the integral:
So, let's apply the vertices given in the question.
![\int\limits^1_0\int\limits_{2x}^{3-x}4xy\:dydx=\int\limits^1_0 2xy^2|_{2x}^{3-x}\:dx=\int\limits^1_0 2x[(3-x)^2-(2x)^2]\:dx=\\\\=\int\limits^1_0 2x(9-6x-3x^2)\:dx=6\int\limits^1_0 (3x-2x^2-x^3)\:dx=\\\\=6(\frac{3}{2}x^2-\frac{2}{3}x^3-\frac{1}{4}x^4)|^1_0=6(\frac{3}{2}-\frac{2}{3}-\frac{1}{4})=\frac{7}{2}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E1_0%5Cint%5Climits_%7B2x%7D%5E%7B3-x%7D4xy%5C%3Adydx%3D%5Cint%5Climits%5E1_0%202xy%5E2%7C_%7B2x%7D%5E%7B3-x%7D%5C%3Adx%3D%5Cint%5Climits%5E1_0%202x%5B%283-x%29%5E2-%282x%29%5E2%5D%5C%3Adx%3D%5C%5C%5C%5C%3D%5Cint%5Climits%5E1_0%202x%289-6x-3x%5E2%29%5C%3Adx%3D6%5Cint%5Climits%5E1_0%20%283x-2x%5E2-x%5E3%29%5C%3Adx%3D%5C%5C%5C%5C%3D6%28%5Cfrac%7B3%7D%7B2%7Dx%5E2-%5Cfrac%7B2%7D%7B3%7Dx%5E3-%5Cfrac%7B1%7D%7B4%7Dx%5E4%29%7C%5E1_0%3D6%28%5Cfrac%7B3%7D%7B2%7D-%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B4%7D%29%3D%5Cfrac%7B7%7D%7B2%7D)
Answer:
The area of parallelogram ABCD is
Explanation:
Given:
AD = 12 in
To Find:
The area of parallelogram ABCD=?
Solution:
When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.
The area of the parallelogram can be calculated by 
Substituting the value of a=12 we have
<u>To find the value of b,
</u>
We know that area of a triangle can be expressed as,
So,
Cancelling BD and 2 on both sides we get,
Therefore,
Substituting the value of b,
=78.42
So the area of the parallelogram is
