Answer:
Equation: 3y - 6 = y + 7
y = 6.5
Step-by-step explanation:
Step 1: Write out equation
3y - 6 = y + 7
Step 2: Solve for <em>y</em>
2y - 6 = 7
2y = 13
y = 13/2 or 6.5
Answers:
(0, 8)
(3, 6)
(6, 4)
(12, 0)
There are infinitely many answers to pick from. All that matters is that they are on the line 4x+6y = 48
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Explanation:
Plug in x = 0 and solve for y to get y = 8. That means we can have 0 cars and 8 vans.
Plug in y = 0 and solve for x to get x = 12. So we could have 12 cars and 0 vans.
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That takes care of two possible solutions, but we need 2 more.
Here's how to get more solutions. Start at the point (0,8). Then we'll use the slope to help get to another point. The slope here is -4/6 = -2/3, so we go down 2 and over to the right 3.
Starting at (0,8) and going down 2 and to the right 3 has us land on (3,6) which is another solution. I'll let you confirm if (x,y) = (3,6) works in the equation or not. This solution tells us we could have 3 cars and 6 vans.
Then from (3,6) we do another "down 2, right 3" motion to land on (6,4) which is yet another solution. In this case, we have 6 cars and 4 vans.
We can stop here since we have four solutions now.
Answer:
10
Step-by-step explanation:
Use the distance formula
Simplify and you get 10
Answer:
![X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]](https://tex.z-dn.net/?f=X%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D12%26-24%268%2616%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
A matrix is given by
![A = \left[\begin{array}{cccc}6&-12&4&8\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D6%26-12%264%268%5Cend%7Barray%7D%5Cright%5D)
Now, we have to find the matrix X if 
⇒ X = 2A
Now, multiplication of a constant with a matrix means multiplication with that constant with all the terms of the matrix.
So, ![X = \left[\begin{array}{cccc}6 \times 2&-12 \times 2&4 \times 2&8 \times 2\end{array}\right]](https://tex.z-dn.net/?f=X%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D6%20%5Ctimes%202%26-12%20%5Ctimes%202%264%20%5Ctimes%202%268%20%5Ctimes%202%5Cend%7Barray%7D%5Cright%5D)
⇒ (Answer)
