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
sweet [91]
3 years ago
12

A certain circle can be represented by the following equation. x^2+y^2+6y-72=0 What is the center of this circle ?

Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0

Answer:

(0, -3)

Step-by-step explanation:

Here we'll rewrite x^2+y^2+6y-72=0 using "completing the square."

Rearranging x^2+y^2+6y-72=0, we get  x^2 + y^2 + 6y                = 72.

x^2 is already a perfect square.  Focus on rewriting y^2 + 6y as the square of a binomial:  y^2 + 6y becomes a perfect square if we add 9 and then subtract 9:

x^2 + y^2 + 6y + 9  - 9              = 72:

x^2 + (y + 3)^2 = 81

Comparing this to the standard equation of a circle with center at (h, k) and radius r,

(x - h)^2 + (y - k)^2 = r^2.  Then h = 0, k = -3 and r = 9.

The center of the circle is (h, k), or (0, -3).

You might be interested in
( Rachel needs to write 3 book reports with b pages 3 science report with s pages during the school year write an algebra expres
artcher [175]
Anwser: 3b+3s

step by step explanation:
5 0
3 years ago
Which system of linear inequalities is graphed?
iragen [17]
I am sure that This one would be c
6 0
3 years ago
Read 2 more answers
Select all equations that are equivalent to 5x + 6/2= 3-(4x +12)​
Savatey [412]

Answer:

- 4/3

Step-by-step explanation:

6 0
2 years ago
PLS help!!
prohojiy [21]

Answer:

is the root of 5 not equal why

8 0
3 years ago
Kalani bought 2.5 pounds oranges for $1.58 per pound.how much did kalani spend on oranges ?
Tcecarenko [31]

To find the answer for this simply multiply 2.5 by 1.58

2.5 x 1.58= 3.95

So Kalani spent a total of $3.95 on oranges!

6 0
3 years ago
Read 2 more answers
Other questions:
  • 313.92 ÷ 6.4 + 200.4 What is the value of the expression?
    15·1 answer
  • Suppose a laboratory has a 30 g sample of polonium-210. The half-life of polonium-210 is about 138 days How many half-lives of p
    9·2 answers
  • Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x2 + 1 inches, and
    7·2 answers
  • I NEED HELP ON THIS MATH ASAP
    12·1 answer
  • 27.) A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was $53.50. Write and
    7·1 answer
  • Can somebody answer this for me?
    7·1 answer
  • There are 6 students that like milk. There is one student who likes water. How many fewer students like water than milk?
    7·2 answers
  • Find the length of a
    11·2 answers
  • What is 10 x 0.018?<br><br> 0.18<br> 1.8<br> 18<br> 180
    12·2 answers
  • Write an equation that represents the line
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!