Answer:
51/12 - 23/4
find the LCM of 12 and 4
51-69/12= -18/12= -9/6 = -3/2 = -1.5
Answer:
(x-5)^2 + (y+9)^2 = 144
Step-by-step explanation:
The equation of a circle can be written as
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x-5)^2 + (y- -9)^2 = 12^2
(x-5)^2 + (y+9)^2 = 12^2
(x-5)^2 + (y+9)^2 = 144
The resulting matrix of the row operation is given as follows:
![R = \left[\begin{array}{ccc}7&4.5&-6\\-6&-3&12\end{array}\right]](https://tex.z-dn.net/?f=R%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%264.5%26-6%5C%5C-6%26-3%2612%5Cend%7Barray%7D%5Cright%5D)
<h3>How to find the resulting matrix?</h3>
We apply the row operation on the original matrix, given as follows:
![A = \left[\begin{array}{ccc}4&3&0\\-6&-3&12\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%263%260%5C%5C-6%26-3%2612%5Cend%7Barray%7D%5Cright%5D)
The operation is given by:
That is, applying to each element, we have that:
Hence the resulting matrix is:
More can be learned about matrix operations at brainly.com/question/1821869
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Answer:
1 7/10
Step-by-step explanation:
After you minus the numbers you simplify them and get 1 and 7/10
Answer:
481 whole miles
Step-by-step explanation:
Total cost would be 3 x 24.95 + 0.26m, where m is the miles driven.
Total cost has to be under or equal to $200, so
3 x 24.95 + 0.26m <= 200
74.85 + 0.26m <= 200 ( 3 x 24.95)
0.26m <= 125.15 ( subtract 74.85)
m <= 481.35 ( divide 0.26)
