Answer:
3 miles per hour
Step-by-step explanation:
If you walk 1.5 miles in .5 of an hour you take 1.5 and divide it by .5 of an hour and you get the speed you were walking
Answer:
![3B-4C=\begin{pmatrix}-8&-23\\ 1&-15\end{pmatrix}](https://tex.z-dn.net/?f=3B-4C%3D%5Cbegin%7Bpmatrix%7D-8%26-23%5C%5C%201%26-15%5Cend%7Bpmatrix%7D)
Step-by-step explanation:
Let
![B=\begin{pmatrix}8&-5\\ -1&3\end{pmatrix}](https://tex.z-dn.net/?f=B%3D%5Cbegin%7Bpmatrix%7D8%26-5%5C%5C%20-1%263%5Cend%7Bpmatrix%7D)
and
![C=\begin{pmatrix}8&2\\ \:-1&6\end{pmatrix}\:](https://tex.z-dn.net/?f=C%3D%5Cbegin%7Bpmatrix%7D8%262%5C%5C%20%5C%3A-1%266%5Cend%7Bpmatrix%7D%5C%3A)
Finding 3B-4C
![\:3B-4C\:=\:3\begin{pmatrix}8&-5\\ -1&3\end{pmatrix}\:-4\begin{pmatrix}8&2\\ \:-1&6\end{pmatrix}](https://tex.z-dn.net/?f=%5C%3A3B-4C%5C%3A%3D%5C%3A3%5Cbegin%7Bpmatrix%7D8%26-5%5C%5C%20-1%263%5Cend%7Bpmatrix%7D%5C%3A-4%5Cbegin%7Bpmatrix%7D8%262%5C%5C%20%5C%3A-1%266%5Cend%7Bpmatrix%7D)
first solving
![3\begin{pmatrix}8&-5\\ -1&3\end{pmatrix}](https://tex.z-dn.net/?f=3%5Cbegin%7Bpmatrix%7D8%26-5%5C%5C%20-1%263%5Cend%7Bpmatrix%7D)
Scalar multiplication: Multiply each of the matrix elements by a scalar
![3\begin{pmatrix}8&-5\\ \:\:-1&3\end{pmatrix}=\begin{pmatrix}3\cdot \:\:8&3\left(-5\right)\\ \:3\left(-1\right)&3\cdot \:\:3\end{pmatrix}](https://tex.z-dn.net/?f=3%5Cbegin%7Bpmatrix%7D8%26-5%5C%5C%20%5C%3A%5C%3A-1%263%5Cend%7Bpmatrix%7D%3D%5Cbegin%7Bpmatrix%7D3%5Ccdot%20%5C%3A%5C%3A8%263%5Cleft%28-5%5Cright%29%5C%5C%20%5C%3A3%5Cleft%28-1%5Cright%29%263%5Ccdot%20%5C%3A%5C%3A3%5Cend%7Bpmatrix%7D)
simplify each element
![=\begin{pmatrix}24&-15\\ -3&9\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D24%26-15%5C%5C%20-3%269%5Cend%7Bpmatrix%7D)
now solving
![4\begin{pmatrix}8&2\\ \:\:-1&6\end{pmatrix}](https://tex.z-dn.net/?f=4%5Cbegin%7Bpmatrix%7D8%262%5C%5C%20%5C%3A%5C%3A-1%266%5Cend%7Bpmatrix%7D)
Scalar multiplication: Multiply each of the matrix elements by a scalar
![4\begin{pmatrix}8&2\\ \:\:-1&6\end{pmatrix}=\begin{pmatrix}4\cdot \:\:8&4\cdot \:\:2\\ \:4\left(-1\right)&4\cdot \:\:6\end{pmatrix}](https://tex.z-dn.net/?f=4%5Cbegin%7Bpmatrix%7D8%262%5C%5C%20%5C%3A%5C%3A-1%266%5Cend%7Bpmatrix%7D%3D%5Cbegin%7Bpmatrix%7D4%5Ccdot%20%5C%3A%5C%3A8%264%5Ccdot%20%5C%3A%5C%3A2%5C%5C%20%5C%3A4%5Cleft%28-1%5Cright%29%264%5Ccdot%20%5C%3A%5C%3A6%5Cend%7Bpmatrix%7D)
simplify each element
![=\begin{pmatrix}32&8\\ -4&24\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D32%268%5C%5C%20-4%2624%5Cend%7Bpmatrix%7D)
now combining the results
![\:3B-4C\:=\:3\begin{pmatrix}8&-5\\ -1&3\end{pmatrix}\:-4\begin{pmatrix}8&2\\ \:-1&6\end{pmatrix}](https://tex.z-dn.net/?f=%5C%3A3B-4C%5C%3A%3D%5C%3A3%5Cbegin%7Bpmatrix%7D8%26-5%5C%5C%20-1%263%5Cend%7Bpmatrix%7D%5C%3A-4%5Cbegin%7Bpmatrix%7D8%262%5C%5C%20%5C%3A-1%266%5Cend%7Bpmatrix%7D)
![=\begin{pmatrix}24&-15\\ -3&9\end{pmatrix}-\begin{pmatrix}32&8\\ -4&24\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D24%26-15%5C%5C%20-3%269%5Cend%7Bpmatrix%7D-%5Cbegin%7Bpmatrix%7D32%268%5C%5C%20-4%2624%5Cend%7Bpmatrix%7D)
subtract the elements in the matching positions
![=\begin{pmatrix}24-32&\left(-15\right)-8\\ \left(-3\right)-\left(-4\right)&9-24\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D24-32%26%5Cleft%28-15%5Cright%29-8%5C%5C%20%5Cleft%28-3%5Cright%29-%5Cleft%28-4%5Cright%29%269-24%5Cend%7Bpmatrix%7D)
simplifying the elements
![=\begin{pmatrix}-8&-23\\ 1&-15\end{pmatrix}](https://tex.z-dn.net/?f=%3D%5Cbegin%7Bpmatrix%7D-8%26-23%5C%5C%201%26-15%5Cend%7Bpmatrix%7D)
Therefore,
![3B-4C=\begin{pmatrix}-8&-23\\ 1&-15\end{pmatrix}](https://tex.z-dn.net/?f=3B-4C%3D%5Cbegin%7Bpmatrix%7D-8%26-23%5C%5C%201%26-15%5Cend%7Bpmatrix%7D)
Answer:
52 units
Step-by-step explanation:
Perimeter of the resulting shape is the length of the boundary all through the resulting shape that is left after cutting out a rectangle out of the larger rectangle.
Perimeter = 15 + 8 + 4 + 3 + 5 +3 + 6 + 8
Perimeter = 52
Perimeter of the resulting shape is 52 units
Math - 5, english - 3
I simply tried the possibilities starting at the bottom and comparing the totals.
I tried: 1, 7 no result; 2, 6; no result; 3, 5; no result; 4, 4; no result; 5, 3 correct