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3 years ago

Certain circle can be represented by the following equation.

Mathematics

2 answers:

kirill115 [55]3 years ago

8 0

Answer:

Center of the circle is (-9, -7)

Radius of the circle = 5 units

Step-by-step explanation:

Given question is incomplete: here is the complete question.

Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.

What is the center of this circle ?

What is the radius of this circle ?

Since equation of the circle has been given by the equation,

x² + y² + 18x + 14y + 105 = 0

Now we will convert this equation to the standard form of the circle.

x² + 18x + y² + 14y = -105

[x² + 2(9)x] + [y² + 2(7)x] = -105

[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105

(x + 9)² + (y + 7)² = 81 + 49 - 105

(x + 9)² + (y + 7)² = 25

(x + 9)² + (y + 7)² = 5²

By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²

Center of the circle is (-9, -7) and radius of the circle is 5 units.

ikadub [295]3 years ago

5 0

Answer:

(-4.8)

7 unit

i just did the test

Step-by-step explanation:

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Which of the following points is a solution of y > |x| + 5?

Morgarella [4.7K]

You can do this one simply just by plugging in the values of x and y for each answer.
Note: (0,5) is just a way to right x=0 and y=5

Try answer A (0,5)
$y\ \textgreater \ |x|+5$
$5\ \textgreater \ |0|+5$
$5\ \textgreater \ 0+5$
$5\ \textgreater \ 5$
This is not true. 5 is not bigger than 5 so A is not the answer

Try answer B (1,7)
$y\ \textgreater \ |x|+5$
$7\ \textgreater \ |1|+5$
$7\ \textgreater \ 1+5$
$7\ \textgreater \ 6$
This is true so answer B works!

Might as well try answer C (7,1)
$y\ \textgreater \ |x|+5$
$1\ \textgreater \ |7|+5$
$1\ \textgreater \ 7+5$
$1\ \textgreater \ 12$
1 is obviously not greater than 12 so C does not work

The answer is B (1,7)

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<h3>What is an equation?</h3>

An equation is an expression used to show the relationship between two or more numbers and variables.

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Find out more on equation at: brainly.com/question/2972832

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