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antiseptic1488 [7]
2 years ago
8

If the equations 2x +y =7 and x-y=2are solved simultaneously, then y=_________​

Mathematics
1 answer:
alisha [4.7K]2 years ago
7 0

Answer:

y = -2x + 7 and y = x - 2

Step-by-step explanation:

2x + y = 7

y = -2x +7

x - y = 2

-y = -x +2

y = x - 2

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Name the slope and one point that is on the line
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B

Step-by-step explanation:

the correct answer is b

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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 =
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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

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

8 0
3 years ago
What is the prime factorization of 40?<br> 1. 2x5<br> 2. 2x20<br> 3. 2x2x2x5<br> 4. 2x2x4x5
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3 0
3 years ago
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4 years ago
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Ivahew [28]

Answer:

12

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using pythagoras theorem

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according to pythagoras thorem the sum of square of two smaller sides of a triangle is equal to the square of hypotenuse. So,

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x = \sqrt{144

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5 0
3 years ago
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