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Georgia [21]
3 years ago
11

a circle is centered at (-4,9)and has a radius of 11. what is the equation of the circle. use x and y​

Mathematics
1 answer:
Sholpan [36]3 years ago
3 0

Answer:

(x + 4)^2 + (y-9)^2 = 121

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k) ^2 = r^2  where (h,k) is the center and r is the radius

(x - -4)^2 + (y-9)^2 = 11 ^2

(x + 4)^2 + (y-9)^2 = 11 ^2

(x + 4)^2 + (y-9)^2 = 121

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A movie theater is 10 blocks north and 5 blocks east of a post office. A mall is 7 blocks north and 9 blocks east of the post of
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The complete question required that we determine how far is the movie theater to the mall.

<h3>Distance between the movie theatre and the mall </h3>

According to the question;

  • Upon representation of the movie theatre and mall position on the coordinate plane relative to the post office; we have;

  • Movie theater, T = (5, 10)
  • Mall, M = (9, 7).

The distance between the two points can therefore be evaluated by Pythagoras theorem as follows;

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Ultimately, the movie theater is 5 blocks away from the mall.

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