Answer:
4 mile= 40
12 mile= 120
it will take him 80
Step-by-step explanation:
Answer:
The product is:
![\left[\begin{array}{cc}15 & 14\\-1 & 9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D15%20%26%2014%5C%5C-1%20%26%209%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
For this problem you need to multiply the first row only for the two first column of the others matrix and get the desired result:
![\left[\begin{array}{ccc}1&3&1\\-2&1&0\end{array}\right] \times \left[\begin{array}{cc}2&-2\\3&5\\4&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%263%261%5C%5C-2%261%260%5Cend%7Barray%7D%5Cright%5D%20%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%26-2%5C%5C3%265%5C%5C4%261%5Cend%7Barray%7D%5Cright%5D)
![1 \times 2 + 3 \times 3 + 1 \times -2 = 15](https://tex.z-dn.net/?f=1%20%5Ctimes%202%20%2B%203%20%5Ctimes%203%20%2B%201%20%5Ctimes%20-2%20%3D%2015)
So the value of the element in the position
is 15
![1 \times -2 + 3 \times 5 + 1 \times 1 = 14](https://tex.z-dn.net/?f=1%20%5Ctimes%20-2%20%2B%203%20%5Ctimes%205%20%2B%201%20%5Ctimes%201%20%3D%2014)
So the value of the element in the position
is 14
Then with these two values you can determinate the result matrix.
![\left[\begin{array}{cc}15 & 14\\-1 & 9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D15%20%26%2014%5C%5C-1%20%26%209%5Cend%7Barray%7D%5Cright%5D)
The product of two radicals is equal to the radicand. The square root deletes itself.
So the result is y^3
Answer:
![y = 6](https://tex.z-dn.net/?f=y%20%3D%206)
Step-by-step explanation:
To find
, we need to eliminate
in this system of equations:
(1)
(2)
From (1) and (2):
![x = \frac{27-2\cdot y}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B27-2%5Ccdot%20y%7D%7B3%7D)
![x = \frac{9+y}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B9%2By%7D%7B3%7D)
Then, we equalize both expressions and solve for
:
![\frac{27-2\cdot y}{3} = \frac{9+y}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B27-2%5Ccdot%20y%7D%7B3%7D%20%3D%20%5Cfrac%7B9%2By%7D%7B3%7D)
![27-2\cdot y = 9 + y](https://tex.z-dn.net/?f=27-2%5Ccdot%20y%20%3D%209%20%2B%20y)
![3\cdot y = 18](https://tex.z-dn.net/?f=3%5Ccdot%20y%20%3D%2018)
![y = 6](https://tex.z-dn.net/?f=y%20%3D%206)