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3 years ago

What is the value of mQSR?

Mathematics

1 answer:

Nat2105 [25]3 years ago

7 0

Answer:

There is no M but I think that the value is 15 degrees

Step-by-step explanation:

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Find the inverse of this matrix.<br> 1 -1 -1<br> -1 2 3 <br> 1 1 4

zheka24 [161]

Let's use Gaussian elimination. Consider the augmented matrix,

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\-1 & 2 & 3 & 0 & 1 & 0\\1 & 1 & 4 & 0 & 0 & 1\end{array}\right]$

• Add row 1 to row 2, and add -1 (row 1) to row 3:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 2 & 5 & -1 & 0 & 1\end{array}\right]$

• Add -2 (row 2) to row 3:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

• Add -2 (row 3) to row 2:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

• Add row 2 and row 3 to row 1:

$\left[\begin{array}{ccc|ccc}1 & 0 & 0 & 5 & 3 & -1\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

So the inverse is

$\begin{bmatrix}1&-1&-1\\-1&2&3\\1&1&4\end{bmatrix}^{-1} = \boxed{\begin{bmatrix}5&3&-1\\7&5&-2\\-3&-2&1\end{bmatrix}}$

3 0

3 years ago

What is the equation of the line that passes through the points (−2, 1) and (1, 10)?

yKpoI14uk [10]

The answer is
A. 3x - y= -7

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3 years ago

Tell whether the triangles are similar.Explain.

Burka [1]

Answer: 13. yes 14. no

Step-by-step explanation:

13. same angles sized down

14. different angles sized down

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3 years ago

If f(x)=x²+3x+5, what is f(3+h)?

Simora [160]

You have to substitute 3+h for x, then work out the equation.

(3+h)^2 + 3(3+h) + 5 = 9 + 6h + h^2 + 9 + 3h + 5 =

h^2 + 9h + 23

Answer B.

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4 years ago

Please help me figure this out!!

SpyIntel [72]

Answer:

$400 $\frac{18}{25}$ OR $\frac{10018}{25}$

Step-by-step explanation:

$400 stays the same, 72 cents is 72/100. Simplify and voila

6 0

3 years ago

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