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zlopas [31]
3 years ago
13

the equation of a circle in general form is x squared + y squared + 20x + 12 y + 15 equals 0what is the equation of the circle i

n standard form ​
Mathematics
1 answer:
Marrrta [24]3 years ago
4 0

Answer: (x+10)^2+(y+6)^2=121

Step-by-step explanation:

The equation of a circle in the general form is:

 ax^{2}+by^2+cx+dy+e=0

The equaton of  a circle in standard form is:

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

Where the center is at <em>(h, k)</em> and <em>r</em> is the radius

To write the equation of a circle from general form to standard form, you must complete the squaare, as you can see below:

1- Given the equation in general form:

x^{2}+y^2+20x+12y+15=0

2- Complete the square:

-Group the like terms and move the constant to the other side.

- Complete the square on the left side of the equation.

- Add the same value to the other side.

Then you obtain:

(x^{2}+20x)+(y^2+12y)=-15\\(x^2+20x+(\frac{20}{2})^2)+(y^2+12y+(\frac{12}{2})^2)=-15+(\frac{20}{2})^2+(\frac{12}{2})^2\\\\(x+10)^2+(y+6)^2=-15+100+36\\(x+10)^2+(y+6)^2=121

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Solve the following equation to determine the value of x: 3x + (x + 10) + 5x + (2x + 2) = 56
nika2105 [10]

Answer:

I think x = 4.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x + x +10 + 5x + 2x + 2 =56

(3x + x + 5x + 2x) + (10 + 2) = 56 (Combine Like Terms)

11x + 12 = 56

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Step 2: Subtract 12 from both sides.

11x + 12 − 12 = 56 − 12

11x = 44

Step 3: Divide both sides by 11.

11x/11 = 44/11

x = 4

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AlladinOne [14]

Answer:

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Step-by-step explanation:

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Find the difference between the product of 2.5 and 7.5 and the sum of2.75 and 9.55​
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6.45

Step-by-step explanation:

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Horizontal and parallel lines c and d are cut by transversal p. At the intersection of lines c and p, the uppercase left angle i
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Given: AD = BC and AD || BC
bearhunter [10]

Answer:

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Step-by-step explanation:

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From the given diagram,

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