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Degger [83]
3 years ago
8

Use the graph to answer the question.

Mathematics
1 answer:
yan [13]3 years ago
5 0

Answer:

C

Step-by-step explanation:

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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
Marrrta [24]

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

4 0
3 years ago
What is the equation of a line that is parallel to the line x=-2and passes through the point (-5, 4)?
Nimfa-mama [501]
First, it is important to understand that any equation that is x=some number is just a vertical line that hits the x-axis at the given number. For example, x=-2 would be a vertical line hitting the x-axis at -2. Therefore, the line we are trying to identify would also be vertical (and have the form x=some number) because we know the lines are parallel. Then, since we're given the point (-5,4), we know the line needs to hit the x-axis at -5, therefore the equation would be x=-5.

I hope this helps.
6 0
3 years ago
In the given diagram, which of the following can you use to prove that triangle ABC is an isosceles triangle?
docker41 [41]
The answer is D) I just went over this.
6 0
4 years ago
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What's an equivalent fraction for 10 15 by dividing 
Fofino [41]
The correct answer is two thirds

4 0
3 years ago
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A square measures 6 cm on all four sides. If you enlarge each side by 4 times, how long is each side?
Rashid [163]

Answer:

24cm

Step-by-step explanation:

6x4=24

8 0
3 years ago
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