When a point is reflected across the Y axis, the Y coordinate remains the same and the X coordinate becomes the opposite of the original value.
Points are written as ( X,Y)
The original point is (-5,2)
The opposite x value would be 5 and the Y value stays the same.
The reflected point would be (5,2)
The answer is B.
I am somehow confused with the given matrix. Because usually, when the system of equations is given as:
ax + by = c
dx + ey = f
the matrix would be written in this manner:
![\left[\begin{array}{ccc}a&b&c\\d&e&f\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%26c%5C%5Cd%26e%26f%5Cend%7Barray%7D%5Cright%5D%20)
Let me just assume that the arrangement of the given corresponds to this system of equations:
4x + 8y = 0
2x + 5y = 6
So you write it as
![\left[\begin{array}{ccc}4&8&0\\2&5&6\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%268%260%5C%5C2%265%266%5Cend%7Barray%7D%5Cright%5D%20)
In order to solve this, the matrix should look like this where x and y are the answers
![\left[\begin{array}{ccc}1&0&x\\0&1&y\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%26x%5C%5C0%261%26y%5Cend%7Barray%7D%5Cright%5D%20)
So, the first thing to do is apply this pattern: Row 2 = Row 1 - 2*Row 2. The result will be
![\left[\begin{array}{ccc}4&8&0\\0&-2&-12\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%268%260%5C%5C0%26-2%26-12%5Cend%7Barray%7D%5Cright%5D%20)
Next, Row 1 = (Row 1/4) + R2:
![\left[\begin{array}{ccc}1&0&-12\\0&-2&-12\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%26-12%5C%5C0%26-2%26-12%5Cend%7Barray%7D%5Cright%5D%20)
Lastly, Row 2 = Row 2 / -2:
Thus, the answer is x=-12 and y=6.
7/6
because 1 whole is the value of 6+1
hope this helped!
Answer:
B. Distributive property.
Step-by-step explanation:
The expression is simplified by expanding it using the distributive property which says for any real numbers
and 

and upon simplification the expression becomes:

Answer:
The correct interpretation of this margin of error is for that the entire population, the percentage of people who would support spending the money to construct the stadium should differ 4%(plus/minus) from 57%, that is, it should be between 57 - 4 = 53% and 57 + 4 = 61%.
Step-by-step explanation:
Margin of error:
The interpretation of a margin of error is that it tells how many percentage points the result found in a sample will differ from the population result.
Of the 655 people who were surveyed, 57% said they would support spending the money to construct the stadium. The poll had a margin of error of 4%. Which is the correct interpretation for this margin of error?
The correct interpretation of this margin of error is for that the entire population, the percentage of people who would support spending the money to construct the stadium should differ 4%(plus/minus) from 57%, that is, it should be between 57 - 4 = 53% and 57 + 4 = 61%.