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
kozerog [31]
3 years ago
10

Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Answer:

(x + 1)² + (y + 3)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 2x + 6y - 6 = 0

Collect the x and y terms together and add 6 to both sides

x² + 2x + y² + 6y = 6

To complete the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9

(x + 1)² + (y + 3)² = 16

with centre = (- 1, - 3) and r = \sqrt{16} = 4

You might be interested in
If U=pi(r+h),find r when U=16 1/2 and h=2<br> solve this question by take the value of pi 22/7
I am Lyosha [343]
U=\pi (r+h) \\\\ 16 \frac{1}{2}= \frac{22}{7}\cdot (r+2) \\\\ \frac{33}{2} : \frac{22}{7}=r+2 \\\\ \frac{\not 33}{2}\cdot \frac{7}{\not 22}=r+2 \\\\ \frac{3}{2} \cdot \frac{7}{2}=r+2 \\\\ \frac{21}{4}=r^{(4}+2^{(4} \\\\ 21=4r+8 \\\\ 4r=21-8 \\\\ 4r=13 \\\\ \boxed{r=\frac{13}{4}}
4 0
3 years ago
91. Jack can read 45 pages of his book in one and a
Digiron [165]

Answer:

10 hours

Step-by-step explanation:

45 pages per 1 hour and 30 minutes,  or 60 min +30 min =90 min

90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages

90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300

? minutes = 90*300/45 = 600 minutes

to read 300-page book will take 600 minutes = 10 hours

3 0
3 years ago
Which of the following is the coeffeiceint in the algebraic expression 22^3+z
masya89 [10]

I think it's 1.0650 but I'm not sure.

6 0
3 years ago
4+(−3)+(−2)<br> help me plllllzzzzzzzzz
lara31 [8.8K]

Answer:

the awnser is -1

Step-by-step explanation:

4+(-3)=1

1+-2=-1

8 0
2 years ago
Read 2 more answers
On the first season of "The Biggest Loser",
amid [387]

Answer:

33%

Step-by-step explanation:

311-208=103 ponds lost

103/311=33%

4 0
3 years ago
Other questions:
  • Seven less than one-third of a number is 5
    11·2 answers
  • Help me in Mathematics
    14·1 answer
  • Charlene is 8 years older than Aaron. the sum of their ages is 44. what are their ages?
    12·1 answer
  • Lisa has twelve fewer dimes than quarters, for a total of $11.05
    9·1 answer
  • The diameter of the handle of a softball is 3/4 Inches. What is the length of the diameter of 8 of these bat handle
    10·1 answer
  • Deena has 2 pairs of white socks, 3 pairs of black socks, 1 pair of red socks, and 2 pairs of navy socks in her sock drawer. Eac
    5·2 answers
  • Solve 7x + 1 &lt; 4(x - 2).
    5·1 answer
  • A) The cost of tickets to the amusement park is $22 for 1 ticket and $110 for 5 tickets
    7·1 answer
  • Fill in the value of the absolute value in the blanks below:<br> a) |-4 =<br> b) |10| =
    7·1 answer
  • There is a graph on my hw test
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!