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
Oliga [24]
2 years ago
13

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

calculations
x2 + 4x + y2 − 6y = −4
Mathematics
1 answer:
Travka [436]2 years ago
8 0

The centre and radius of the equation are (-2, 3) and 3 units respectively

<h3>Equation of a circle</h3>

The standard equation of a circle is expressed as;

x^2+y^2+2gx+2fy+C = 0

Given the equation

(x^2 + 4x) + (y^2 − 6y) = −4

Complete the squares

(x^2+4x+4)-4+(y^2-6y+9)-9 = -4

(x+2)^2+(y-3)^2=-4+13

(x+2)^2+(y-3)^2 = 9

(x+2)^2+(y-3)^2 = 3^2

Hence the centre and radius of the equation are (-2, 3) and 3 units respectively

Learn more on equation of circle here: brainly.com/question/1559324

#SPJ1

You might be interested in
In right triangle ABC, the measure of A is 25° and AB = 1. What is the length of AC?
gregori [183]

The answer will ve
1)0.9063
6 0
2 years ago
Help images below!!!
MaRussiya [10]

Answer:80

Step-by-step explanation:

6 0
3 years ago
Write a linear function F with the values F(-9)=8 and F (0) =1
Fiesta28 [93]

Given:

The values of a linear function are F(-9)=8 and F(0)=1.

To find:

The linear function.

Solution:

If a linear function passes through two points, then the equation of the linear function is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The values of a linear function are F(-9)=8 and F(0)=1. It means the function passes through the points (-9,8) and (0,1). So, the equation of the linear function is:

y-8=\dfrac{1-8}{0-(-9)}(x-(-9))

y-8=\dfrac{-7}{9}(x+9)

y-8=\dfrac{-7}{9}(x)+\dfrac{-7}{9}(9)

y-8=\dfrac{-7}{9}x-7

Adding 8 on both sides, we get

y-8+8=\dfrac{-7}{9}x-7+8

y=\dfrac{-7}{9}x+1

Putting y=F(x), we get

F(x)=\dfrac{-7}{9}x+1

Therefore, the required linear function is F(x)=\dfrac{-7}{9}x+1.

5 0
2 years ago
Reflect triangle ABC over the line x= -3.<br><br> What are the new coordinates?
alekssr [168]

Answer:

Step-by-step explanation:

We do not know the coordinates of triangle ABC, however, if the coordinates were (hypothetially) A (-2,0) B (-2,2) and C (-1,0) then we would flip triangle ABC over the line x=-3, point A would move 2 points horizontally to the left. Point B would move 2 points horizontally to the left. Point C, would move 4 points horizontally to the left. The Y coordinates would stay the same. Basically, instead of flipping it over the origin, you "move the origin" to whichever point you are told, they would function the same.

3 0
2 years ago
A circular plate has circumferrence 30.8 inches. What is the area of this plate ? Use 3.14 for π.
erastova [34]

Answer:

75.39 in^2

Step-by-step explanation:

circumference=2πr

30.8=2(3.14)r

30.8=6.28r

4.9=r

Now that we know the radius, we can plug it in for the area equation

area=πr^2

area=(3.14)(4.9)^2

area=(3.14)(24.01)

area=75.39 in^2

8 0
2 years ago
Other questions:
  • Convert into fraction:<br> 0.612<br> the 12 reapeating forever<br> plz help
    6·2 answers
  • What is the first term in a geometric sequence if the common ratio is −3 and the sum of the first five terms is 427?
    15·1 answer
  • Can you guys please help me
    10·1 answer
  • 3. Suppose your bank honors a check for which you don't have sufficient funds in your checking account. This action means that y
    13·1 answer
  • Elevator 1 in a building moved from ground position to a final position of +17 feet. Elevator 2 in the same building moved from
    5·2 answers
  • A3 -4a2+12-3a Factorise ?
    13·2 answers
  • How to solve this integration problem? the answer should be -π/12
    13·1 answer
  • Otld7dlyzotzfkztkzk​
    12·1 answer
  • 100.000.000x30 <br><br> Kaçtır?
    6·1 answer
  • Katy invests a total of $13,000 in two accounts paying 2% and 7% annual interest, respectively. How much was invested in each ac
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!