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gulaghasi [49]
3 years ago
14

How do you know that 5, 7, 8, 9, 10, and 11 are not factors of 12?

Mathematics
1 answer:
Mrrafil [7]3 years ago
6 0

Answer :

Factors of 12 are

1  \times 12 \\ 2  \times  6 \\ 3  \times  4.

  1. 5 multiplied by any number can never give 12 . Multiples of 5 are
  2. 5 \: 10 \: 15 \: 20
  3. 7 multiples are
  4. 7 \: 14 \: 21
  5. Same applies for all the listed numbers
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Equation of the circle:

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Step-by-step explanation:

The equation of a circle is given by

(x-x_0)^2+(y-y_0)^2=r^2

where

(x_0,y_0) are the coordinates of the center of the circle

r is the radius of the circle

For the circle in this problem, we know that:

(5,4) are the coordinates of the center

We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:

r=\sqrt{(-3-(5))^2+(2-(-4))^2}=\sqrt{(-8)^2+(6)^2}=\sqrt{64+36}=10

Therefore, the equation of the circle is:

(x-5)^2+(y-(-4))^2=10^2\\(x-5)^2+(y+4)^2=100

Learn more about circles:

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