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blsea [12.9K]
3 years ago
10

A circle is defined by the equation x2 + y2 + 8x + 22y + 37 = 0. What are the coordinates for the center of the circle and the l

ength of the radius?
Mathematics
1 answer:
inn [45]3 years ago
6 0
We can say that:
8x = -2ax
8 = -2a
a = -4

22y = - 2by
22 = -2b
b = -11

37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10

With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10

P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0

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xz_007 [3.2K]

Answer:  The correct option is

(C) y = −8 ÷ 2; y = −4.

Step-by-step explanation:  We are given to select the correct steps that shows the solution to the following equation :

2y=-8~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We know that

the solution to the equation ax=b,~~\textup{a,b are real numbers} is given by

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Therefore, the solution of equation (i) is as follows :

2y=-8\\\\\Rightarrow y=-8\div 2\\\\\Rightarrow y=\dfrac{-8}{2}\\\\\Rightarrow y=-4.

Thus, (C) is the correct option.

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3 years ago
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Mariana [72]
I really hope this helps. I’m sure the answer is c:)
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2 years ago
Kendall scored 3 times as many points as Abdul scored in a basketball game. Otis scored 5 more points than Abdul
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3 years ago
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Korvikt [17]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
I need to know if the following questions are true or false
Triss [41]

Answer:

False

Step-by-step explanation:

To find <A, we can do 5x - 80 = 3x + 20.

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