30 divided by 6 is 5
6 divided by 5 is 1. 2
The slope of the line is 3/4
Answer:
Step-by-step explanation:
![\left\{\begin{array}{ccc}2x+1y+2z&=&13\\1x+1y-2z&=&8\\1x+2y+1z&=&11\\\end{array}\right.\\\\\\\Delta=\left| \begin{array}{ccc}2&1&2\\1&1&-2\\1&2&1\end{array}\right| =2*\left| \begin{array}{ccc}1&\frac{1}{2}&1\\1&1&-2\\1&2&1\end{array}\right| =2*\left| \begin{array}{ccc}1&\frac{1}{2}&1\\0&\frac{1}{2}&-3\\0&1&3\end{array}\right| =2*(\frac{3}{2}+3)=9\\\\](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D2x%2B1y%2B2z%26%3D%2613%5C%5C1x%2B1y-2z%26%3D%268%5C%5C1x%2B2y%2B1z%26%3D%2611%5C%5C%5Cend%7Barray%7D%5Cright.%5C%5C%5C%5C%5C%5C%5CDelta%3D%5Cleft%7C%20%5Cbegin%7Barray%7D%7Bccc%7D2%261%262%5C%5C1%261%26-2%5C%5C1%262%261%5Cend%7Barray%7D%5Cright%7C%20%3D2%2A%5Cleft%7C%20%5Cbegin%7Barray%7D%7Bccc%7D1%26%5Cfrac%7B1%7D%7B2%7D%261%5C%5C1%261%26-2%5C%5C1%262%261%5Cend%7Barray%7D%5Cright%7C%20%3D2%2A%5Cleft%7C%20%5Cbegin%7Barray%7D%7Bccc%7D1%26%5Cfrac%7B1%7D%7B2%7D%261%5C%5C0%26%5Cfrac%7B1%7D%7B2%7D%26-3%5C%5C0%261%263%5Cend%7Barray%7D%5Cright%7C%20%3D2%2A%28%5Cfrac%7B3%7D%7B2%7D%2B3%29%3D9%5C%5C%5C%5C)
![\Delta_1=\left| \begin{array}{ccc}13&1&2\\8&1&-2\\11&2&1\end{array}\right| =2*\left| \begin{array}{ccc}13&1&2\\8&1&-2\\\frac{11}{2}& 1&\frac{1}{2}\end{array}\right| =2*\left| \begin{array}{ccc}13&1&2\\-5&0&-4\\\frac{-5}{2}& 0&\frac{5}{2}\end{array}\right| \\\\=2*(-1)*(\frac{-25}{2}-\frac{20}{2}) =45\\](https://tex.z-dn.net/?f=%5CDelta_1%3D%5Cleft%7C%20%5Cbegin%7Barray%7D%7Bccc%7D13%261%262%5C%5C8%261%26-2%5C%5C11%262%261%5Cend%7Barray%7D%5Cright%7C%20%3D2%2A%5Cleft%7C%20%5Cbegin%7Barray%7D%7Bccc%7D13%261%262%5C%5C8%261%26-2%5C%5C%5Cfrac%7B11%7D%7B2%7D%26%201%26%5Cfrac%7B1%7D%7B2%7D%5Cend%7Barray%7D%5Cright%7C%20%3D2%2A%5Cleft%7C%20%5Cbegin%7Barray%7D%7Bccc%7D13%261%262%5C%5C-5%260%26-4%5C%5C%5Cfrac%7B-5%7D%7B2%7D%26%200%26%5Cfrac%7B5%7D%7B2%7D%5Cend%7Barray%7D%5Cright%7C%20%5C%5C%5C%5C%3D2%2A%28-1%29%2A%28%5Cfrac%7B-25%7D%7B2%7D-%5Cfrac%7B20%7D%7B2%7D%29%20%3D45%5C%5C)
![\Delta_2=\left| \begin{array}{ccc}2&13&2\\1&8&-2\\1&11&1\end{array}\right| \\\\\\=\left| \begin{array}{ccc}3&21&0\\3&30&0\\1&11&1\end{array}\right| \\\\\\=1*(90-63) =27\\](https://tex.z-dn.net/?f=%5CDelta_2%3D%5Cleft%7C%20%5Cbegin%7Barray%7D%7Bccc%7D2%2613%262%5C%5C1%268%26-2%5C%5C1%2611%261%5Cend%7Barray%7D%5Cright%7C%20%5C%5C%5C%5C%5C%5C%3D%5Cleft%7C%20%5Cbegin%7Barray%7D%7Bccc%7D3%2621%260%5C%5C3%2630%260%5C%5C1%2611%261%5Cend%7Barray%7D%5Cright%7C%20%5C%5C%5C%5C%5C%5C%3D1%2A%2890-63%29%20%3D27%5C%5C)
![\Delta_3=\left| \begin{array}{ccc}2&1&13\\1&1&8\\1&2&11\end{array}\right| \\\\\\=\left| \begin{array}{ccc}0&-1&-3\\0&-1&-3\\1&2&11\end{array}\right| \\\\\\=0\\](https://tex.z-dn.net/?f=%5CDelta_3%3D%5Cleft%7C%20%5Cbegin%7Barray%7D%7Bccc%7D2%261%2613%5C%5C1%261%268%5C%5C1%262%2611%5Cend%7Barray%7D%5Cright%7C%20%5C%5C%5C%5C%5C%5C%3D%5Cleft%7C%20%5Cbegin%7Barray%7D%7Bccc%7D0%26-1%26-3%5C%5C0%26-1%26-3%5C%5C1%262%2611%5Cend%7Barray%7D%5Cright%7C%20%5C%5C%5C%5C%5C%5C%3D0%5C%5C)
![\left\{\begin{array}{ccc}x=\dfrac{\Delta_1}{\Delta}=\dfrac{45}{9}=5\\\\y=\dfrac{\Delta_2}{\Delta}=\dfrac{27}{9}=3\\\\z=\dfrac{\Delta_3}{\Delta}=\dfrac{0}{9}=0\\\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dx%3D%5Cdfrac%7B%5CDelta_1%7D%7B%5CDelta%7D%3D%5Cdfrac%7B45%7D%7B9%7D%3D5%5C%5C%5C%5Cy%3D%5Cdfrac%7B%5CDelta_2%7D%7B%5CDelta%7D%3D%5Cdfrac%7B27%7D%7B9%7D%3D3%5C%5C%5C%5Cz%3D%5Cdfrac%7B%5CDelta_3%7D%7B%5CDelta%7D%3D%5Cdfrac%7B0%7D%7B9%7D%3D0%5C%5C%5Cend%7Barray%7D%5Cright.)
Answer:
4/3 ft
Corrected question;
Francine has a piece of wood that is five 5/12 feet long she uses three 1/4 feet of the wood from a science project how much for just Francine have left.
Step-by-step explanation:
Given;
Francine has a piece of wood that is five 5/12 feet long.
Total amount of wood T = 5 × 5/12 ft = 25/12 ft
she uses three 1/4 feet of the wood from a science project.
Amount of wood Used U = 3 × 1/4 = 3/4 ft
The amount of wood left equals the total amount of wood minus the amount of wood used;
The amount of wood left L = T - U = 25/12 - 3/4
L = 25/12 - 9/12
L = 16/12
L = 4/3 ft
Answer:
0.825 Miles
Step-by-step explanation:
2.75m x 0.3 = 0.825