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Sophie [7]
3 years ago
12

Determine and state the coordinates of the center and the length of the radius of a circle whose equation is x² + y² - 6x = 56 -

8y
Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Answer:

The center is at (3, -4), and the radius is 9.

Step-by-step explanation:

x² + y² − 6x = 56 − 8y

Move x and y terms to one side.

x² − 6x + y² + 8y = 56

Complete the squares.

x² − 6x + 9 + y² + 8y + 16 = 56 + 9 + 16

(x − 3)² + (y + 4)² = 81

The center is at (3, -4), and the radius is 9.

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8 0
3 years ago
In the equation z/6 =
Nikitich [7]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

"Isolate the variable  using inverse operations."

»»————- ★ ————-««  

Here’s why:

To solve for a variable, we would have to isolate it on one side.

To isolate it, we would use inverse operations on both sides on the equation until the variable is isolated.

There are no like terms in the given equation.

⸻⸻⸻⸻

\boxed{\text{Solving for 'z'...}}\\\\\frac{z}{6} = 36\\-------------\\\rightarrow (\frac{z}{6})6 = (36)6\\\\\rightarrow  \boxed{z = 216}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

5 0
2 years ago
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No, the first choice equals 190 and the second 144.
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Answer:

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Step-by-step explanation:

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Answer B is correct.
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