Step-by-step explanation:
Given expression;
2x + y = -5;
The given equation must be written in a form where the slope is the negative inverse of the given one.
A line perpendicular to another will have a negative inverse slope.
2x + y = -5
Equation of a straight line is generally written as;
y = mx + c
y and x are the coordinates
m is the slope
c is y - intercept
2x + y = -5
y = -2x -5
The slope of the perpendicular = 
So,
the new line;
y = x -5
Any line with slope of will be perpendicular
Answer:
- The water cooler can hold 214 of the 6-oz glasses because 1284 / 6 = 214
- The water cooler can hold 107 of the 12-oz glasses because 1284 / 12 = 107
- Because it is asking how many more glasses, you would do 214 - 107 = 107.
- You could also say that the water cooler can hold twice as many 6-oz glasses than 12-oz glasses.
Hope that helps! :)
Her net pay is 2000 and so as her gross pay
X -> times 2 -> plus 4 -> r(x)
Step-by-step explanation:
-4=x -4=r(x) -4 x 2=-8 -8+4=-4
Answer:
- The dimensions of a matrix are the number of rows × the number of columns of the matrix.
- For the example below, the the matrix is 3 × 4.
Explanation:
<em>The dimensions of a matrix</em> is the number of rows × the number of columns of the matrix.
Your matrix is garbled. Thus, to help you I will work with an hypothetical matrix.
Assume the matrix:
![\left[\begin{array}{cccc}1&0&0&0\\2&4&0&3\\0&0&0&9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%260%260%5C%5C2%264%260%263%5C%5C0%260%260%269%5Cend%7Barray%7D%5Cright%5D)
That matrix has four colums and 3 rows.
For instance, the first colum is:
![\left[\begin{array}{c}1\\2\\0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D1%5C%5C2%5C%5C0%5Cend%7Barray%7D%5Cright%5D)
Thus, it has 4 columns.
And the second row is:
![\left[\begin{array}{cccc}2&4&0&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D2%264%260%263%5Cend%7Barray%7D%5Cright%5D)
Thus, it has 3 rows.
Hence, the matrix is 3 × 4.
The first number is the number of rows and the second number is the number of columnns.
