Answer:
b = 17.55
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + b^2 = 18^2
16 + b^2 = 324
<u>-16 -16</u>
b^2 = 308
square root them
<u>b = 17.55</u>
let me know if it is correct!
Answer:
12.
Explanation:
6.0m/s devide it by 0.5m/s is 12.
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Answer:
Step-by-step explanation:
The inverse of matrix is (43, -11, 2).
<h3>What is inverse of matrix?</h3>
A matrix is a multidimensional generalization of the concept of reciprocal of a number: the product between a number and its reciprocal is equal to 1; the product between a square matrix and its inverse is equal to the identity matrix.
given equation:
x + 5y + 10z = 8
y + 4z = -3
x+6y + 15z = 7
The cofactors of the matrix is
C_11 = -9
C_12= 4
C_13=-1
C_21 = -15
C_22= 5
C_23 = -1
C_31= 10
C_32= -4
C_33= 1
The cofactor matrix is,
![\left[\begin{array}{ccc}-9 & 4 & -1\\-15 & 5 & -1\\10 & -4 & 1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-9%20%26%204%20%26%20-1%5C%5C-15%20%26%205%20%26%20-1%5C%5C10%20%26%20-4%20%26%201%5Cend%7Barray%7D%5Cright%5D)
The transpose of matrix,
![\left[\begin{array}{ccc}-9 & -15 & 10\\4 & 5 & -4\\1 & -1 & 1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-9%20%26%20-15%20%26%2010%5C%5C4%20%26%205%20%26%20-4%5C%5C1%20%26%20-1%20%26%201%5Cend%7Barray%7D%5Cright%5D)
The determinant of matrix is = 21.
The augmented matrix is attached below
Hence, the inverse of matrix is (43, -11, 2).
Learn more about this concept here:
brainly.com/question/13253064
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