Answer:
Step-by-step explanation:
4x+3x=7x
-3x-2x-3x-2x=-10x
2+2=4
-3x & 4
Answer:
Step-by-step explanation:
Parallel lines have same slope.
y = mx + b
Slope = m & y-intercept = b
x - 5y = 15
-5y = -x + 15
y = 

so, slope = 1/5 ; (-5 , 7)
y -y1 = m(x -x1)
![y - 7 = \frac{1}{5}(x- [-5])\\\\y - 7 =\frac{1}{5}(x + 5)\\\\y - 7 = \frac{1}{5}x+5*\frac{1}{5}\\\\y - 7 =\frac{1}{5}x+1\\\\y =\frac{1}{5}x+1+7\\\\y=\frac{1}{5}x + 8](https://tex.z-dn.net/?f=y%20-%207%20%3D%20%5Cfrac%7B1%7D%7B5%7D%28x-%20%5B-5%5D%29%5C%5C%5C%5Cy%20-%207%20%3D%5Cfrac%7B1%7D%7B5%7D%28x%20%2B%205%29%5C%5C%5C%5Cy%20-%207%20%3D%20%5Cfrac%7B1%7D%7B5%7Dx%2B5%2A%5Cfrac%7B1%7D%7B5%7D%5C%5C%5C%5Cy%20-%207%20%3D%5Cfrac%7B1%7D%7B5%7Dx%2B1%5C%5C%5C%5Cy%20%3D%5Cfrac%7B1%7D%7B5%7Dx%2B1%2B7%5C%5C%5C%5Cy%3D%5Cfrac%7B1%7D%7B5%7Dx%20%2B%208)
Answer:
More than 120 feet
Step-by-step explanation: 25 50 75- 3 secs for rabbit
40 80 120- 3 seconds so atleast 120 feet or more
Answer:
is the required matrix form.
Step-by-step explanation:
Here, the given system of equation is:
5 x + 4 y = -14,
3 x + 6 y = 6
In a system of equation, the matrix for is given as
AX = b
Here, A = Co-efficient Matrix, X = Variable Matrix and B = Constant Matrix
Considering the given system:
Co-efficient Matrix(A) = ![\left[\begin{array}{ccc}5&4\\3&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%264%5C%5C3%266%5Cend%7Barray%7D%5Cright%5D)
Variable Matrix(X) = ![\left[\begin{array}{ccc}x\\y\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D)
Constant Matrix(b) =![\left[\begin{array}{ccc}-14\\6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-14%5C%5C6%5Cend%7Barray%7D%5Cright%5D)
Hence, the combined matrix form of AX = b is
![\left[\begin{array}{ccc}5&4\\3&6\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]=\left[\begin{array}{ccc}-14\\6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%264%5C%5C3%266%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-14%5C%5C6%5Cend%7Barray%7D%5Cright%5D)