Answer:
63 divided by 3 is 21 so x=21
Step-by-step explanation:
Perpendicular lines have negative reciprocals. This means that if you multiply the slopes of both lines, the product will be a -1.
In your given point-slope equation, the slope is 1/3. Therefore, the negative reciprocal of 1/3 must be -3.
Out of the given options:
y + 2 = -3(x — 4)
y = -3x - 5
are the linear equations that are perpendicular to y — 1 = 1/3(x + 2).
Therefore, the correct answers are Options 1 and 3.
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Answer:
y=−x+573, x+y=573
Step-by-step explanation:
Answer:
A*B= ![\left[\begin{array}{cc}705&80\\121&14 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D705%2680%5C%5C121%2614%20%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Given A=
= B
Finding A*B means multiplying the first row with the first column and first row with the second column would give the first row elements. The second ro0w elements are obtained by multiplying the second row with the 1st column and second row with the second column.
so A*B= ![\left[\begin{array}{cc}5*41+ 25*20&5*6 + 25*2\\ 1*41+4*20 & 1*6+ 4*2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%2A41%2B%2025%2A20%265%2A6%20%2B%2025%2A2%5C%5C%201%2A41%2B4%2A20%20%26%201%2A6%2B%204%2A2%5Cend%7Barray%7D%5Cright%5D)
Now multiply and add the separate elements of the matrix A*B=
![\left[\begin{array}{cc}205+500&30+50\\41+80&6+8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D205%2B500%2630%2B50%5C%5C41%2B80%266%2B8%5Cend%7Barray%7D%5Cright%5D)
A*B= ![\left[\begin{array}{cc}705&80\\121&14 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D705%2680%5C%5C121%2614%20%5Cend%7Barray%7D%5Cright%5D)
b. The 1st element of the 1st row shows the salaries of the managers and 2nd element of the 1st row the salaries of associates at the restaurant . The second row 1 st element shows the benefits of the managers and 2nd element the benefits of the associates at the food truck.
c. The total cost of salaries for all employees (managers and associates) at the restaurant = 705 + 80 = 785
Total cost of benefits for all employees at the food truck= 121 + 14= 135