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]
3 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]3 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]3 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
Draw a pair of adjacent supplementary angles so that one has a measure of 15 degrees
Nat2105 [25]

Answer:

the best way to to do this would be to use a protractor, if you don't have one you would have to guess on the 15 degrees, but it would be a very small angle

4 0
2 years ago
Can someone help me with this math work and please explain why the answer is what it is
Anettt [7]

Answer: 58unit²

Step-by-step explanation:

We will take 1 square as 1 unit

We will count the number of squares in in this figure.

Total squares = 58

Area = 58unit²

please click thanks and mark brainliest if you like :)

4 0
2 years ago
How do the height and base length of the two triangles compare to the height and base length of the original piece of paper?
notka56 [123]

Answer : The two dimensions are the same in the triangles as they were in the rectangle.

4 0
3 years ago
F(n+1)=f(n)-3 f(1)=15
Trava [24]

Answer:

f(n+1) = 13

Step-by-step explanation:

  • We know that f(1) = 15
  • So we can substitute this for f(n)-3
  • With this:
  1. f(n+1) = f(1) -3
  2. f(n+1) = 15-2
  3. f(n+1) = 13
5 0
3 years ago
20 POINTS, answer pls ty fill out the missing angle measures until you find x
Basile [38]

Answer:

x is 101 degrees.

Step-by-step explanation:

sorry my handwritings so bad it's hard to draw through my computer.

<em>hope this helps!</em>

have a great day :-)

6 0
2 years ago
Other questions:
  • Solve the inequality. Then graph the solutions<br>on a number line<br>-34 &lt; -2(4x-1)​
    13·1 answer
  • PLEASE I NEED HELP ​
    12·1 answer
  • The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1.Which graph represents g(x)?
    9·2 answers
  • I need help somebody please help me with my homework. and how you get the answer and explain me thanks
    14·1 answer
  • Px=y<br><br> x=4<br><br> p=12<br><br> y=___<br><br><br> Please help me out
    9·2 answers
  • What is negative 9 over 5 divided by 2?
    5·1 answer
  • What is the exact value of the exponential equation, 5(10)4x=75 ?
    15·1 answer
  • Match the multiplication problem on the top with the simplified polynomial on the bottom.
    12·1 answer
  • Pia needs 100 red beads to make a necklace. She already has 38 red beads. How many more beads does she need?
    8·2 answers
  • Point M is on line segment \overline{LN} LN . Given LN=17LN=17 and MN=3,MN=3, determine the length \overline{LM}. LM .
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!