Answer:
definition of cosine, definition of sine, pythagorean theorem, substitution, laws of exponents.
Step-by-step explanation:
In order to have an infinite number of solutions, it should be that the two equations are identical. Therefore, I believe the correct answer is option c. The value of b should be 6. Hope this answers the question.
Polynomial are classified according to their number of terms. 5x^3+8y+6x^2 has three terms, 2xy has 1 term and 15-y^2. A polynomial with 1 term is called a monomial, A polynomial with 2 terms is called a binomial while a polynomial with 3 terms is called a trinomial. Thus our polynomial 2x^4+6x-3 is called a trinomial.
Answer:
The solution to the system is
,
and
Step-by-step explanation:
Cramer's rule defines the solution of a system of equations in the following way:
,
and
where
,
and
are the determinants formed by replacing the x,y and z-column values with the answer-column values respectively.
is the determinant of the system. Let's see how this rule applies to this system.
The system can be written in matrix form like:
![\left[\begin{array}{ccc}5&-3&1\\0&2&-3\\7&10&0\end{array}\right]\times \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}6&11&-13\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-3%261%5C%5C0%262%26-3%5C%5C7%2610%260%5Cend%7Barray%7D%5Cright%5D%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D6%2611%26-13%5Cend%7Barray%7D%5Cright%5D)
Then each of the previous determinants are given by:
Notice how the x-column has been substituted with the answer-column one.
Notice how the y-column has been substituted with the answer-column one.

Then, substituting the values:


