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
vova2212 [387]
3 years ago
5

Answer and how to do it

Mathematics
1 answer:
ollegr [7]3 years ago
6 0

Answer:

(x - 9)^2 + y^2 = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)^2 + (y - k)^2 = r^2

You are given

x^2 + y^2 - 18x + 45 = 0

In order to put the equation in standard from, we need to complete the square. Since there is no y term, the y part is simply y^2, and there is no need to complete the square for y. For x, we do have an x term, so we must complete the square in x.

Start by grouping the x terms and subtracting 45 from both sides.

x^2 - 18x + y^2 = -45

Now we need to complete the square for x.

x^2 - 18x ~~~~~~+ y^2 = -45

The number that completes the square will go in the blank above, and it will also be added to the right side of the equation.

To find the number you need to add to complete the square, take the coefficient of the x term. It is -18. Divide it by 2. You get -9. Now square -9 to get 81. The number that completes the square in x is 81. Now you add it to both sides of the equation.

x^2 - 18x + 81 + y^2 = -45 + 81

(x - 9)^2 + y^2 = 36

Answer: (x - 9)^2 + y^2 = 36

You might be interested in
Two swim clubs are having a membership sale. Aqua Plus is offering a two-year membership for $237.36. Water World is offering an
galina1969 [7]
Divide the price by the number of months to find the monthly rate.
<span>$237.36 ÷ 24 = $9.89 per month </span>
<span>$184.50</span><span> ÷ 18 = $10.25 per month

The two year club, Aqua Plus is cheaper

</span>
8 0
3 years ago
Read 2 more answers
3(9-8x-4x)+8(3x+4)=11
Papessa [141]
3(9 - 8x - 4x) + 8(3x + 4) = 11

3(9 - 12x) + 8(3x + 4) = 11

27 - 36x + 24x + 32 = 11

59 - 12x = 11

-12x = 11 - 59 

-12x = -48

x = 4

hope this helps, God bless!
4 0
3 years ago
Drag each statement to the correct category. Classify the sentences based on whether they are or are not statements. Prime numbe
Archy [21]

Answer:

1. Prime numbers are easier to count. (Not a statement)

2.Irrational numbers can be written as fractions. (Statement)

3. Natural numbers can be negative. (Statement)

4.  Addition is the simplest mathematical operation. (Not a Statement)

5. Equilateral triangles are quicker to construct than scalene triangles. (Not a statement)

6. The set of real numbers is infinite. (Statement)

i hope it will help you!

6 0
3 years ago
Nickel-63 has half-life of about 96 years. after 336 years,about how many milligrams of an 800 mg sample will remain?
vagabundo [1.1K]
F=ar^t if the half-life is 96 years...

.5=r^96

ln(.5)=96lnr

ln(.5)/96=lnr

r=e^((ln.5)/96)

f=800e^(336(ln.5)/96)

f=70.71

So about 71mg will remain after 336 years.


5 0
3 years ago
Read 2 more answers
What is 339.12 rounded to the nearest tenth
Yakvenalex [24]
The answer should be 339.1
4 0
3 years ago
Other questions:
  • Morgan started the year with $615 in the bank and is saving $25 per week Kendall started with $975 and is spending $15 per week
    11·1 answer
  • Barry has $30.00 to spend on soft drinks
    15·1 answer
  • From Environment Canada: "Our experts on weather and climate have combed through 45 years of weather records, and determined the
    13·2 answers
  • PLZ HELP A rectangle is 2/5 in. long and 1/3 in. wide. What is the area of the rectangle? Enter your answer in the box as a frac
    7·1 answer
  • Which of these expressions is equivalent to 6x - 10x + 20?
    12·1 answer
  • If u answer ill give brainlist
    11·1 answer
  • A car was traveling 86 kilometers per hour.
    11·1 answer
  • Anne wants to fill 12 hanging baskets with compost. Each hanging basket is a hemisphere of diameter 40 cm.
    8·1 answer
  • Join gimkit need as many players as possible 55769​
    11·1 answer
  • A 24 foot flagpole casts a 20 foot shadow of the building next to it is an 85 foot shadow find the height of the building
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!