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almond37 [142]
3 years ago
5

Use row reduction to find the inverse of the given matrix if it exists, and check your answer by multiplication. hint [see examp

le 2.] (if the inverse doesn't exist, enter dne in all answer boxes.) 1 6 4 0 1 2 0 0 1
Mathematics
1 answer:
Marianna [84]3 years ago
3 0
The given matrix is
| 1 6 4 |
| 0 1 2 |
| 0 0 1 |

Create the augmented matrix.
|  1  6  4  |  1  0  0  | R1
|  0  1  2  |  0  1  0  | R2
|  0  0  1  |  0  0  1  | R3

R1 -> R1 - 6*R2
|  1  0 -8  |  1 -6  0  | R1
|  0  1  2  |  0  1  0  | R2
|  0  0  1  |  0  0  1  | R3

R1 -> R1 + 8*R3
|  1  0  0  |  1  -6  8  | R1
|  0  1  2  |  0   1  0  | R2
|  0  0  1  |  0  0  1  | R3

R2 -> R2 - 2*R3
|  1  0  0  |  1 -6  8  |
|  0  1  0  |  0  1 -2  |
|  0  0  1  |  0  0  1  |

The inverse is
|  1  -6  8 |
|  0  1  -2 |
|  0  0  1  |

Verification:
| 1 6 4 |  | 1  -6 8 |     | 1  0 0 |
| 0 1 2 |  | 0  1 -2 |  = | 0 1  0 |
| 0 0 1 |  | 0  0  1 |     | 0 0  1 |

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3 years ago
Factor each linear expression.if expression can not be factored write cannot be factored.<br> 36x-9
almond37 [142]

Answer:

9(4x - 1)

Step-by-step explanation:

The given linear expression is:

36x - 9

Since, 36 can be written as 9 times 4, we can rewrite the above expression as:

9(4x) - 9

Taking 9 as common, the expression changes to:

9 (4x - 1)

This linear expression can no linger be factorized further.

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36x - 9 = 9(4x - 1)

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Step-by-step explanation:

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2 years ago
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What is the area of the sector with a central angle of 49° and a radius of 11 cm? Use 3.14 for pi and round your final answer to
olga_2 [115]

Answer:

\boxed{\text{51.71 cm}^{2}}

Step-by-step explanation:

If the angle θ is in radians, the formula for the area (A) of a sector of a circle is

A = ½r²θ

If θ is in degrees

A = \dfrac{1}{2}r^{2}\theta \times \dfrac{\pi \text{ rad}}{180^{\circ}}= \pi r^{2}\times\dfrac{\theta }{360}

Data:

θ = 49°

r = 11 cm

Calculation:

\begin{array}{rcl}A& = &3.14\times 11^{2}\times\dfrac{49}{360}\\\\ & = &3.14 \times 121 \times 0.1361\\ & = & \mathbf{51.71}\\\end{array}\\\text{The area of the sector is }\boxed{\textbf{51.71 cm}^{2}}

4 0
3 years ago
Please help me! ASAP!!!!!
Greeley [361]

Answer:

x=36

Step-by-step explanation:

17+3 =20

now we have :

x+4

___         = 20

  2

20*2= 40

x+4=40

x=36

hopes this helps

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3 years ago
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