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Bingel [31]
3 years ago
10

Given the center of a circle as ( 1, -1 ) and a point on the circle at (4 , 2). Write the equation of the circle. *

Mathematics
1 answer:
Andru [333]3 years ago
7 0

Answer:

(x − 1)² + (y + 1)² = 18

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center and r is the radius.

The center is (1, -1), so plugging that in:

(x − 1)² + (y + 1)² = r²

A point on the circle is (4, 2), so plugging that in:

(4 − 1)² + (2 + 1)² = r²

18 = r²

Therefore, the equation is:

(x − 1)² + (y + 1)² = 18

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3 years ago
Which equation has NO solution? A) 15x + 12 3 = 5x + 4 B) 8 − 4x 10 = 4 + 2x C) 4x − 20 2 = 2x − 10 D) 15x + 5 3 = 5x + 6
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Assumption:

<em>Something is missing in question. If we see deeply it is apparent that there is some issue with option b i.e. </em><em>B) 8 − 4x 10 = 4 + 2x </em><em>we assume that the questioner want to type </em><em>B) 8-4x^10 = 4 + 2x.</em>

Answer:

The correct answer is <em> </em><em>B) 8-4x^10 = 4 + 2x.</em>

Step-by-step explanation:

All equations given is the question can be solve easily to determine the value of x. However if we solve equation mentioned in option b we cannot  get single answer easily.

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