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e-lub [12.9K]
3 years ago
5

What is the justification for step 2 in the solution process?

Mathematics
1 answer:
Phantasy [73]3 years ago
6 0

Answer: D

You have to divide by 2 so you get the x by itself

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Identify the radius and center.<br><br> x^2 + y^2 - 2x + 4y - 11 = 0
miss Akunina [59]
<h2>Hello!</h2>

The answer is:

Center: (1,-2)

Radius: 4 units.

<h2>Why?</h2>

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

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

Where,

"h" and "k"are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

x^2+y^2-2x+4y-11=0

So, solving we have:

x^2+y^2-2x+4y=11

(x^2-2x+(\frac{2}{2})^{2} )+(y^2+4y+(\frac{4}{2})^{2})=11+(\frac{2}{2})^{2} +(\frac{4}{2})^{2}\\\\(x^2-2x+1)+(y^2+4y+4)=11+1+4\\\\(x^2-1)+(y^2+2)=16

(x^2-1)+(y^2-(-2))=16

Now, we have that:

h=1\\k=-2\\r=\sqrt{16}=4

So,

Center: (1,-2)

Radius: 4 units.

Have a nice day!

Note: I have attached a picture for better understanding.

5 0
4 years ago
Luis se comió 5/12 de los pasteles y Antonio 3/12 de los mismos. ¿Que fracción de los pasteles se comieron?
NISA [10]

*(Respuesta)* = \frac{8}{12}

* (Explicación) * = El motivo por el que necesita agregar \frac{5}{12} a \frac{3}{12}.

Espero que esto ayude

Persona que respondió: BangtanBoyScouts


5 0
4 years ago
Having Problems With This Question
hjlf

Answer:

f+g(2)=10

f-g(4)=-4

F/G(2)= 7/3

(f)(g)(1)=0

Step-by-step explanation:

1. (f+g)=2x+3+x^2-1 2(2)+2=10

2. (f-g)=(2x+3)-(x^2-1)=-x^2+2x+4= -16+8+4=-4

3. f/g= 2x+3/x^2-1 4+3/3= 7/3

4. f*g= (2x+3)(x^2-1)= 2x^3+3x^2-2x-3= 2(1)^3-2(1)+3(1)^2-3=0

8 0
3 years ago
Christopher is 5.2 feet tall and his baby sister is 3 3/4 feet tall. How much taller is Christopher than his baby sister?
vladimir1956 [14]
1 9/20 feet or 1.45 feet.
8 0
3 years ago
Read 2 more answers
Solve the system of equation<br><br>​
trapecia [35]
Just click these pictures to give you the answer or idea of what you need.
Fort the first equation just click on the photo and for the second it’s x-y=-1

6 0
4 years ago
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