1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sasho [114]
2 years ago
7

Complete the square to rewrite the following equation. identify the center and radius of the circle. you must show all work and

calculations to receive credit. x2 + 4x + y2 − 6y = −4
SAT
1 answer:
insens350 [35]2 years ago
7 0

The center of the circle is the point (-2, 3) and the radius is 3 units.

<h3>How to identify the center and radius?</h3>

Here we have the equation:

x^2 + 4x + y^2 -6y = -4

We can rewrite it as:

x^2 + 2*2x + y^2 - 2*3y = -4

Now, we can add and subtract 4 and add and subtract 9, so we get:

x^2 + 2*2x + y^2 - 2*3y  +4 - 4 + 9 - 9= -4\\\\(x^2 + 2*2*x + 4) + (y^2 - 2*3*y + 9) - 4 - 9 = -4\\\\(x + 2)^2 + (y- 3)^2 = 9 = 3^2

So the center of the circle is the point (-2, 3) and the radius is 3 units.

If you want to learn more about circles:

brainly.com/question/1559324

#SPJ1

You might be interested in
Why shouldn´t people be afraid to love themselves at all
Vlad1618 [11]

Answer:1. Real love makes us feel vulnerable. A new relationship is uncharted territory, and most of us have natural fears of the unknown. Letting ourselves fall in love means taking a real risk. We are placing a great amount of trust in another person, allowing them to affect us, which makes us feel exposed and vulnerable. Our core defenses are challenged. Any habits we’ve long had that allow us to feel self-focused or self-contained start to fall by the wayside. We tend to believe that the more we care, the more we can get hurt.

2. New love stirs up past hurts. When we enter into a relationship, we are rarely fully aware of how we’ve been impacted by our history. The ways we were hurt in previous relationships, starting from our childhood, have a strong influence on how we perceive the people we get close to as well as how we act in our romantic relationships. Old, negative dynamics may make us wary of opening ourselves up to someone new. We may steer away from intimacy, because it stirs up old feelings of hurt, loss, anger or rejection. As Dr. Pat Love said in an interview with PsychAlive, “when you long for something, like love, it becomes associated with pain,” the pain you felt at not having it in the past.

3. Love challenges an old identity. Many of us struggle with underlying feelings of being unlovable. We have trouble feeling our own value and believing anyone could really care for us. We all have a “critical inner voice,” which acts like a cruel coach inside our heads that tells us we are worthless or undeserving of happiness. This coach is shaped from painful childhood experiences and critical attitudes we were exposed to early in life as well as feelings our parents had about themselves.

While these attitudes can be hurtful, over time, they have become engrained in us. As adults, we may fail to see them as an enemy, instead accepting their destructive point of view as our own. These critical thoughts or “inner voices” are often harmful and unpleasant, but they’re also comfortable in their familiarity. When another person sees us differently from our voices, loving and appreciating us, we may actually start to feel uncomfortable and defensive, as it challenges these long-held points of identification.

4. With real joy comes real pain. Any time we fully experience true joy or feel the preciousness of life on an emotional level, we can expect to feel a great amount of sadness. Many of us shy away from the things that would make us happiest, because they also make us feel pain. The opposite is also true. We cannot selectively numb ourselves to sadness without numbing ourselves to joy. When it comes to falling in love, we may be hesitant to go “all in,” for fear of the sadness it would stir up in us.

Explanation:

4 0
3 years ago
Read 2 more answers
Why is it important for teenagers to recognize when a friend needs serious help? What are
Reptile [31]

Teenagers have to recognize if their friend needs serious help because it can lead to very bad situations, if they're not treated properly. Warning signs may be distancing themselves from others, not talking a lot, getting into situations, they wouldn't want to get in before, not being in the same mood as they would always be, and even the most obvious ones where they explain their mental condition. You have to know who to turn to, if you can't provide the help that your friend needs, you can advise them to go to a therapist, call a hotline, speak with their loved ones, but you have to know that you can't brush it off, or say that "it's a phase", " stop being dramatic ", " you're too young to have these types of problems" etc. such phrases can be discouraging towards anyone and can lead to even worse situations.

6 0
4 years ago
A wide-angle lens is bigger than a normal lens
Oliga [24]
Ok?.... why are you telling us this is it a question?
6 0
3 years ago
Read 2 more answers
Jack is out shopping for a new computer monitor. His desk includes built-in cabinets with a rectangular opening for a monitor th
Keith_Richards [23]

Answer:

21 inches

Explanation:

5 0
3 years ago
Xxxxxxxxxxxxxxxxxxxx
butalik [34]

Answer:

Explanation:

x

8 0
3 years ago
Read 2 more answers
Other questions:
  • My phone rang midway between 10:53 P.M. one day and 1:05 P.M. the next day. It rang at:
    7·2 answers
  • You are going to borrow $71,500.00 for 200 days. You are to be loaned the money at an interest rate of 9%, and you are given the
    5·1 answer
  • What to do before sat psat
    12·2 answers
  • Which type of soil is the most permeble
    9·2 answers
  • Both fear and excitement activate the release of norepinephrine in the body.
    10·1 answer
  • the narrator in the passage speaks from the point of view of an outsider who is nevertheless knowledgeable about the community’s
    5·1 answer
  • Which wall do you think separates the poet from his dream? explain.
    5·2 answers
  • If an organism is unicellular, a eukaryote, and autotrophic, into which domain would it be classified? question 10 options: doma
    14·1 answer
  • 1. You just realized the turn signal on your vehicle is broken, and
    13·1 answer
  • The Securities and Exchange Commission is responsible for ______.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!