Consider the operation is
.
Given:
The augmented matrix below represents a system of equations.
![\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cleft.%5Cbegin%7Bmatrix%7D1%260%261%5C%5C1%263%26-1%5C%5C3%262%260%5Cend%7Bmatrix%7D%5Cright%7C%5Cbegin%7Bmatrix%7D-1%5C%5C-9%5C%5C-2%5Cend%7Bmatrix%7D%5Cright%5D)
To find:
Matrix results from the operation
.
Step-by-step explanation:
We have,
![\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cleft.%5Cbegin%7Bmatrix%7D1%260%261%5C%5C1%263%26-1%5C%5C3%262%260%5Cend%7Bmatrix%7D%5Cright%7C%5Cbegin%7Bmatrix%7D-1%5C%5C-9%5C%5C-2%5Cend%7Bmatrix%7D%5Cright%5D)
After applying
, we get
![\left[\left.\begin{matrix}1&0&1\\-3(1)&-3(3)&-3(-1)\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-3(-9)\\-2\end{matrix}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cleft.%5Cbegin%7Bmatrix%7D1%260%261%5C%5C-3%281%29%26-3%283%29%26-3%28-1%29%5C%5C3%262%260%5Cend%7Bmatrix%7D%5Cright%7C%5Cbegin%7Bmatrix%7D-1%5C%5C-3%28-9%29%5C%5C-2%5Cend%7Bmatrix%7D%5Cright%5D)
![\left[\left.\begin{matrix}1&0&1\\-3&-9&3\\3&2&0\end{matrix}\right|\begin{matrix}-1\\27\\-2\end{matrix}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cleft.%5Cbegin%7Bmatrix%7D1%260%261%5C%5C-3%26-9%263%5C%5C3%262%260%5Cend%7Bmatrix%7D%5Cright%7C%5Cbegin%7Bmatrix%7D-1%5C%5C27%5C%5C-2%5Cend%7Bmatrix%7D%5Cright%5D)
Therefore, the correct option is A.
Answer:
2x^2(3x^2-2x-1)
Step-by-step explanation:
12x^4 - 8x^3 - 4x^2
everything is a multiple of 4 so divide the whole thing by 4
12x^4 - 8x^3 - 4x^2/4= 3x^4-2x^3-1x^2
write it in disturbed form
2(3x^4-2x^3-1x^2)
now if u see we can see that the X will be same, so we also have to factor it out and 2 is the exponent that all can give
2x^2(3x^2-2x-1)
The value of x is 27 units from the given circle, if the radius of the circle is 18 units.
Step-by-step explanation:
The given is,
Circle diagram, with radius of 18
Step:1
Given circle contain right angular triangle,
Ref attachment,
x = 18
y = 12
Where,
x = a + b...................(1)
a = b
a = ![\frac{x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D)
b = ![\frac{x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D)
From Pythagoras theorem,
Substitute the values,
![18^{2}=12^{2} + a^{2}](https://tex.z-dn.net/?f=18%5E%7B2%7D%3D12%5E%7B2%7D%20%20%2B%20a%5E%7B2%7D)
![324=144+a^{2}](https://tex.z-dn.net/?f=324%3D144%2Ba%5E%7B2%7D)
![a^{2} = 180](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%3D%20180)
Take square root on both sides,
![a=\sqrt{180}](https://tex.z-dn.net/?f=a%3D%5Csqrt%7B180%7D)
a= 13.416
Step:2
From equation (1),
x = 13.416 +13.416
x = 26.833
x ≅ 27
Result:
The value of x is 27 units from the given circle, if the radius of the circle is 18 units.
<span>y − 3(x − 1) = 0.
y - 3x + 3 = 0
y = 3x - 3
slope m = 3
y-intercept (0, -3)</span>
Answer:
36°F
Step-by-step explanation:
The answer is quite simple. Simply place your celsius into the formula,
°F = 1.8 x °2 + 32
1.8 x 2 is 3.6 + 32 = 35.6
2 degrees celsius is 35.6 degrees Fahrenheit, rounding up is 36 degrees