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Zarrin [17]
3 years ago
11

Find the equation of a circle with a center at (7, 2) and a point on the circle at (-2, -5).

Mathematics
1 answer:
KatRina [158]3 years ago
4 0

Answer:

(x-7)^2 + (y-2) ^2 = 130

Step-by-step explanation:

We need to find the length of the radius

the length of the radius is found by using the distance formula

r = sqrt(  ( -2-7)^2+( -5 -2)^2)

    sqrt(  ( -9)^2+( -7)^2)

    sqrt( 81+49)

    sqrt(130)

The formula for a circle is

(x-h)^2 + (y-h) ^2 = r^2

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

(x-7)^2 + (y-2) ^2 = 130

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Step-by-step explanation:

angle 4 is congruent to angle 4 because they are alternate interior angles.

angle 5 is congruent to angle 3 because they are alternate interior angles.

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The answer to this expression is 40. Why? Well, we can use PEMDAS in this expression.

P: Parenthesis

So this is our first step:

28 / 4 = 7

Next step: Simplify.

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Then: E stands for Exponents but we have none so we can move on.

M stands for Multiply so we have our next step:

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Now: Simplify.

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Now that we have a simple equation, we can add the values to get our answer.

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Therefore, your answer is 40. Whenever you see problems like this, be sure to use PEMDAS for a faster and more accurate evaluation.


Your final answer: 40.
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