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Vladimir79 [104]
4 years ago
6

: Part A The equation of a circle C is (x+2)2+(y−7)2=36. What is its center (h,k)?​​ A (−2,−7) B (−2,7) C (2,−7) D (2,7) Part B

What is the radius (r) of the circle C ? ​ Answer:​ r= . ​
Mathematics
1 answer:
NeX [460]4 years ago
6 0

Answer:

Centre = (-2,7) B

radius = 6

Step-by-step explanation:

The general formula for finding the equation of a circle is expressed as shown:

(x-h)²+(y-k)² = r² where (a,b) is the centre and r is the radius of the circle

Given the equation of the circle C in question (x+2)²+(y−7)²=36. We will compare the given equation to the general equation.

On comparison;

-h = 2

h = -2

-k = -7

k = 7

r² = 36

r = √36

r = ±6

From the answers gotten, it can be inferred that the centre of the circle (h,k) is (-2,7) and the radius of the circle is 6.

Radius of a circle cannot be a negative value so we will ignore the negative value of 6.

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\quad \huge \quad \quad \boxed{ \tt \:Answer }

  • \texttt{Step 1: 18x − 42 = 2}

  • \texttt{Step 2: 18x = 44 }

____________________________________

\large \tt Solution  \: :

\qquad \tt \rightarrow \: 6(3x - 7) = 2

Step 1 -

\qquad \tt \rightarrow \: 18x - 42 = 2

[ distributive property ]

Step 2 -

\qquad \tt \rightarrow \: 18x = 2 + 42

\qquad \tt \rightarrow \: 18x = 44

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Let's now take a look at the factors of -147, starting with the positives.  Obviously, -147 and 1 are factors: -147 * 1 = -147.  What other factors of -147 are there?

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