The point (-3, 2) lines on a circle whose equation is (x + 3)2 + ( + 1)2 = r2. Which of
the following must be the radius of the circle?

Answers

Answer 1

Answer:

3 units

Step-by-step explanation:

Equation of the circle is:

[tex] (x+3)^2 +(y+1)^2=r^2 [/tex]

[tex] \therefore [x-(-3)] ^2 +[(y-(-1)] ^2=r^2 [/tex]

Equating it with

[tex] (x-h)^2 +(y-k)^2=r^2 [/tex]

We find: h = - 3 & k = - 1

Center of the circle (C) = (-3, - 1)

Since, the point (-3, 2) lies on the circle, therefore radius of the circle wii be equal to the distance between the center of the circle (-3, - 1) and the point (-3, 2) which is on the circle.

Therefore,

[tex] r = \sqrt{[-3-(-3)]^2 +[2-(-1)]^2} [/tex]

[tex] r = \sqrt{[-3+3]^2 +[2+1]^2} [/tex]

[tex] r = \sqrt{[0]^2 +[3]^2} [/tex]

[tex] r = \sqrt{0 +9} [/tex]

[tex] r = \sqrt{9} [/tex]

[tex] r = 3\: units [/tex]


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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

this is simple use it and enjoy

Step-by-step explanation:

Let x be the first number

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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angle bcf = 113 degrees :)

Step-by-step explanation:

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Step-by-step explanation:

Remark

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Givens

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