Answer:
4.2 laps
Step-by-step explanation:
because 4 laps is 1600+ the 80 which is a 1/5 of 400 causing it to be .2
The solution to the system of equations x + 2y = 1 and -3x-2y = 5 is:
x = -3, y = 2
The given system of equations:
x + 2y = 1............(1)
-3x - 2y = 5..........(2)
This can be written in matrix form as shown:
![\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%5C%5C-3%26-2%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
Find the determinant of ![\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%5C%5C-3%26-2%5Cend%7Barray%7D%5Cright%5D)
![\triangle = 1(-2) - 2(-3)\\\triangle = -2+6\\\triangle = 4](https://tex.z-dn.net/?f=%5Ctriangle%20%3D%201%28-2%29%20-%202%28-3%29%5C%5C%5Ctriangle%20%3D%20-2%2B6%5C%5C%5Ctriangle%20%20%3D%204)
![\triangle_x = \left[\begin{array}{ccc}1&2\\5&-2\end{array}\right]\\\triangle_x = 1(-2)-2(5)\\\triangle_x = -2-10\\\triangle_x =-12](https://tex.z-dn.net/?f=%5Ctriangle_x%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%5C%5C5%26-2%5Cend%7Barray%7D%5Cright%5D%5C%5C%5Ctriangle_x%20%3D%201%28-2%29-2%285%29%5C%5C%5Ctriangle_x%20%3D%20-2-10%5C%5C%5Ctriangle_x%20%3D-12)
![\triangle_y = \left[\begin{array}{ccc}1&1\\-3&5\end{array}\right]\\\triangle_y = 1(5)-1(-3)\\\triangle_y = 5 + 3\\\triangle_y =8](https://tex.z-dn.net/?f=%5Ctriangle_y%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%5C%5C-3%265%5Cend%7Barray%7D%5Cright%5D%5C%5C%5Ctriangle_y%20%3D%201%285%29-1%28-3%29%5C%5C%5Ctriangle_y%20%3D%205%20%2B%203%5C%5C%5Ctriangle_y%20%3D8)
![x = \frac{\triangle_x}{\triangle} \\x = \frac{-12}{4} \\x = -3](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B%5Ctriangle_x%7D%7B%5Ctriangle%7D%20%5C%5Cx%20%3D%20%5Cfrac%7B-12%7D%7B4%7D%20%5C%5Cx%20%3D%20-3)
![y = \frac{\triangle_y}{\triangle} \\y = \frac{8}{4} \\y = 2](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B%5Ctriangle_y%7D%7B%5Ctriangle%7D%20%5C%5Cy%20%3D%20%5Cfrac%7B8%7D%7B4%7D%20%5C%5Cy%20%3D%202)
The solution to the system of equations x + 2y = 1 and -3x-2y = 5 is:
x = -3, y = 2
Learn more here: brainly.com/question/4428059
Answer: you do not have the graph to know (answer a b c d)
Step-by-step explanation:
Answer:
They are equivalent by Associative Property
Step-by-step explanation:
(3•6)•9 is 18•9 which is 162
3•(6•9) is 3•54 which is also 162
So the difference between the two expressions is that they are grouped differently. In the first expression the 3•6 had to be multiplied first. In the other expression the 6•9 had to be multiplied first. But really both were 3•6•9 and it's all multiplication and can happen in any order. But the order 3, 6, 9 did not change. That is Associative property that says you can multiply by grouping factors differently and still get the same answer.