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MrMuchimi
3 years ago
15

Use the distributive property to fill in the blanks below. (8 x 5) + (8 x 2) = 8 x (_ + _)

Mathematics
1 answer:
alekssr [168]3 years ago
3 0
The answer is anything that adds up to 7.
Examples: (5 + 2) or (3 + 4)
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Step-by-step explanation:

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3 years ago
There are
Archy [21]
17 books in total, and 8 new. To find the number of used books, we subtract 8 from 17.

17-8= 9 used books

Now we have 8 new books and 9 used books.

All books: 17
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3 years ago
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Find all of the eigenvalues λ of the matrix A. (Hint: Use the method of Example 4.5 of finding the solutions to the equation 0 =
Svetradugi [14.3K]

Answer:

\lambda=8,\ \lambda=-5

Step-by-step explanation:

<u>Eigenvalues of a Matrix</u>

Given a matrix A, the eigenvalues of A, called \lambda are scalars who comply with the relation:

det(A-\lambda I)=0

Where I is the identity matrix

I=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]

The matrix is given as

A=\left[\begin{array}{cc}3&5\\8&0\end{array}\right]

Set up the equation to solve

det\left(\left[\begin{array}{cc}3&5\\8&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda \end{array}\right]\right)=0

Expanding the determinant

det\left(\left[\begin{array}{cc}3-\lambda&5\\8&-\lambda\end{array}\right]\right)=0

(3-\lambda)(-\lambda)-40=0

Operating Rearranging

\lambda^2-3\lambda-40=0

Factoring

(\lambda-8)(\lambda+5)=0

Solving, we have the eigenvalues

\boxed{\lambda=8,\ \lambda=-5}

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3 years ago
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Answer:

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Step-by-step explanation:

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Plz help for points plzzz
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Answer: 5.3

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3 years ago
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