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
ikadub [295]
2 years ago
10

A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the

length of the radius? (-7, -1), 36 units (7, 1), 36 units (7, 1), 6 units (-7, -1), 6 units NextReset
Mathematics
2 answers:
Alexandra [31]2 years ago
4 0
Hello :
<span>x² + y² + 14x + 2y + 14 = 0
(x²+14x)+(y²+2y)+14=0
(x²+2(7)(x) +7²) -7² +( y²+(2)(1)y+1²)-1² +14 = 0
(x+7)² +(y+1)² = 6²
the center : (-7,-1) and </span><span>length of the radius is : 6</span>

Aliun [14]2 years ago
4 0

Answer:

Center (-7,-1)

radius: 6

Step-by-step explanation:

We need to remember that the formula of a circle with center in (h,k) and radius r is: (x-h)² + (y-k)² = r²

In this problem we have the equation x² + y² +14x +2y +14 = 0 and we need to transform it into the formula (x-h)² + (y-k)² = r²

First we're going to rearrange the terms so the terms with x are together and the terms with y are together. We are going to move the independent term (The one without a letter, 14 in this case, to the right side of the equation)

x² + y² +14x +2y +14 = 0

(x² + 14x) + (y² + 2y) = -14

Now we need to complete to perfect square trinomials.  To know which term we need to add we're going to take the coefficient of the term with the x, divide it by two and then square it)

<u>Example: for the term 14x we are going to do 14/2 = 7 and then we're going to make 7² = 49.</u>

<u>For the term 2y we do 2/2 = 1. 1² = 1.</u>

So we get the next two perfect square trinomials:

(x² + 14x +49) + (y² + 2y +1)

Back to our equation, we need to add the 49 and the 1  to the other side so the equation still holds:

(x² + 14x +49) + (y² + 2y +1) = -14 +49 +1

(x² + 14x +49) + (y² + 2y +1) = 36

The parenthesis can be written as squared binomials:

(x + 7)² + (y +1)² = 36.

Now this formula is written as (x-h)² + (y-k)² = r²

Therefore, h = -7, k = -1 and r²= 36⇒ r = 6

You might be interested in
1. A business records its net profits for the week by subtracting the operating costs from the revenue. The function P(x) = (140
MrMuchimi
I think answer should be d. Please give me brainlest let me know if it’s correct or not okay thanks bye
8 0
3 years ago
Please answer this will reward brainlest
bixtya [17]
Well 32 x 405 is 12,960, but it ask for 2 numbers added to make 12,960 so the answer is 810 + 12,150 which is 2 products that add up to the answer 12,960.
6 0
2 years ago
Ms. Armstrong is a carpenter. She keeps her tools in a cube-shaped box in her truck. Ms. Armstrong's toolbox is 15 inches long o
Debora [2.8K]
to find the volume you would multiply length width and height
4 0
3 years ago
Read 2 more answers
For all values of x<br> f(x) = 3x + 2<br> Find f-¹(-12)
Novosadov [1.4K]

Answer:

-4.67

Step-by-step explanation:

first find f^-1(x)

let f(x)=y

y=3x+2

3x=y-2

x=y-2/3

Therefore f^-1(x)=x-2/3

Now f^-1(-12)=-12-2/3

=-14/3

=-4.67

8 0
2 years ago
An art teacher has 6 1/4 gallons of paint to pour into containers. If each container holds 1/2 gallon, what is the maximum numbe
OleMash [197]

Answer:

12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Jan ran a mile in 0.14 hours. Convert the hours into a fraction. hours
    13·2 answers
  • (a) Describe in words a sequence of transformations that maps to.
    5·2 answers
  • Ugh help please i need assistance no one will help me.
    15·2 answers
  • Help will fine brainliest!!!
    13·2 answers
  • WHOEVER IS CORRECT GETS BRAINLIST
    8·2 answers
  • (-41)+9 i will give brainllest
    11·2 answers
  • Use the Pythagorean Theorem to determine the lengths of QT and RS Show your work
    6·1 answer
  • Simplify completely'''​
    9·1 answer
  • Which of the following are possible measures for the angle shown? Select all that apply.
    11·1 answer
  • Amanda increased the amount of protein she eats everyday from 48g to 54 g By what percentage did Amanda increase the amount of p
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!