Answer:
<h2>(x - 3)² + (y - 5)² = 64</h2>
Step-by-step explanation:
The standard form of an equation of a circle:
(h, k) - center
r - radius
Look at the picture.
We have
center at (3, 5) → h = 3 anf k = 5
radius r = 8
Substitute:
#Rate of change
Rate of change is slope
If two points be (x1,y-1) and (X2,Y2) then
If a line be ax+by+c=0
#X and y inetercept
If a equation given y=mx+b
- To find x intercept put y=0
- To find y inetercept put x=0
#Zeros
To find the zeros spot out the x inetercepts
The x values of the x intercepts are the zeros
Answer:
20%
Step-by-step explanation:
Well, it's actually relatively simple.
The first thing to do would be to write this in a fraction form. You payed 72,000 out of 360,000.
72,000/360,000.
now you take that fraction, and convert it's to its decimal form which will give you a 0.2.
0.2 in decimal form is converted to 20.0% (when you convert a decimal to a fraction, you multiply by 100, or move the decimal two places to the right).
Another way to do this is simplifying the fraction.
take 72,000/360,000 and find what X is when
72,000/360,000 = x/100
you will find that 72,000/360,000 Is equal to 20/100. since percents are calculated as out of a hundred. your answer would still come out as 20%
They flowed 15 miles UP.
This is equivalent to a positive 15.
Then 9 miles DOWN.
This is equivalent to a negative 9.
Now put these two numbers together.
15-9
So, c. 15-9=6
Answer:
![\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}3&1\\4&-2\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%26y%5Cend%7Barray%7D%5Cright%5D%20%2A%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3%261%5C%5C4%26-2%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3x%2B4y%26x-2y%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The general matrix representation for this transformation would be:
![\left[\begin{array}{cc}x&y\end{array}\right] * A = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%26y%5Cend%7Barray%7D%5Cright%5D%20%2A%20A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3x%2B4y%26x-2y%5Cend%7Barray%7D%5Cright%5D)
As the matrix A should have the same amount of rows as columns in the firs matrix and the same amount of columns as the result matrix it should be a 2x2 matrix.
![\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%26y%5Cend%7Barray%7D%5Cright%5D%20%2A%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3x%2B4y%26x-2y%5Cend%7Barray%7D%5Cright%5D)
Solving the matrix product you have that the members of the result matrix are:
3x+4y = a*x + c*y
x - 2y = b*x + d*y
So the matrix A should be:
![\left[\begin{array}{cc}3&1\\4&-2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3%261%5C%5C4%26-2%5Cend%7Barray%7D%5Cright%5D)
