Answer: C
Step-by-step explanation: It's the most logical.
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Answer:
6 + √27 / 3
6+ (3√3/3)
6+√3
Step-by-step explanation:
Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,
![D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}](https://tex.z-dn.net/?f=D%3D%5C%7B%2018n%2B9%20%5Cmid%20n%20%5Cin%20%5Cmathbb%7BN%7D%2C%200%5Cle%20n%5Cle%204%20%5C%7D)
The odd multiples of 9,
, in the range
form the set
![\{9,27,45,63,81\}](https://tex.z-dn.net/?f=%5C%7B9%2C27%2C45%2C63%2C81%5C%7D)
Each member of the set is a term of the arithmetic progression
![U_n=18n+9](https://tex.z-dn.net/?f=U_n%3D18n%2B9)
where the values of
range from 0 to 4, or ![0\le n\le 4](https://tex.z-dn.net/?f=0%5Cle%20n%5Cle%204)
Putting these facts together, we get the result
![D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}](https://tex.z-dn.net/?f=D%3D%5C%7B%2018n%2B9%20%5Cmid%20n%20%5Cin%20%5Cmathbb%7BN%7D%2C%200%5Cle%20n%5Cle%204%20%5C%7D)
Learn more about set-builder notation here: brainly.com/question/17238769
Answer: It would be 8+4z because you can't add a variable.
The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²
The equation of a circle.
Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center.
r is the radius of a circle.
The midpoint of the given points represents the center of this circle:
h = (4 + 4)/2 = 4
k = (5.5 + 10.5)/2 = 8
Next, we would determine the radius by using the distance formula for coordinates:
r = √[(x₂ - x₁)² + (y₂ - y₁)²]
r = √[(4 - 4)² + (10.5 - 5.5)²]
r = √[0² + 5²]
r = √25
r = 5 units.
Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Learn more about circle here: brainly.com/question/12823137
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