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
worty [1.4K]
2 years ago
10

Write the equation of the circle below to complete the square. Also determine the area of the circle.

Mathematics
1 answer:
diamong [38]2 years ago
8 0

Answer: (x-7)^2+(y+2)^2=11^2 ; A=121\pi

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

(x-a)^2+(y-b)^2=r^2

Begin by grouping the 'x' terms and 'y' terms:

(x^2-14x)+(y^2+4y-68)=0

Complete the square for the second polynomial:

(\frac{b}{2} )^2=(\frac{4}{2} )^2=4

(x^2-14x)+(y^2+4y+4-4-68)=0

(x^2-14x)+(y^2+4y+4)-4-68=0

(x^2-14x)+(y^2+4y+4)-72=0

(x^2-14x)+(y+2)^2-72=0

Do the exact same process with the other polynomial:

(x^2-14x-72)+(y+2)^2=0

Complete the square:

(\frac{14}{2} )^2=49

(x^2-14x+49-49-72)+(y+2)^2=0

(x^2-14x+49)-49-72+(y+2)^2=0

(x^2-14x+49)-121+(y+2)^2=0

(x-7)^2-121+(y+2)^2=0

Bring the 121 to the other side to get:

(x-7)^2+(y+2)^2=121

(x-7)^2+(y+2)^2=11^2

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

A=\pi r^2=121\pi

You might be interested in
Ten times the square of a non-zero number is equal to forty times the number
S_A_V [24]
To convey as an algebraic expression simply break down the statements and use any variable to represent the number in the sentence.

10 • x^2 = 40x
10x^2 = 40x
10x^2 - 40x = 0
10(x^2 - 4x) = 0
X(x - 4) = 0

X = 0

X - 4 = 0
X = 4.

Here are two possibilities of what the number can be, but because it is a nonzero number, I believe it would be 4.
7 0
4 years ago
15x+45-2x=15x-2x-10 how do I solve?
svet-max [94.6K]

Answer:You can't

Step-by-step explanation:

I t has no solution to it

6 0
3 years ago
"Yo no sé cuál fue la razón<br> Si yo te estaba dando todo mi amor."
Charra [1.4K]

que otra vez tu ???

\:  \:  \:

3 0
3 years ago
Read 2 more answers
Answer Fast Please And Thank You
frutty [35]

Answer:

a d

Step-by-step explanation:

maybe

5 0
3 years ago
Read 2 more answers
Factor: 5x2 – 15x – 20.
Tasya [4]

Answer:

a)~5(x-4)(x+1)

Step-by-step explanation:

~~~5x^2 -15x -20\\\\=5(x^2 -3x -4)\\\\=5(x^2 -4x +x -4)\\\\=5\textbf{[}x(x-4) +(x-4)\textbf{]}\\\\=5(x-4)(x+1)

3 0
2 years ago
Other questions:
  • Calculate the perimeter -math
    6·1 answer
  • John is twice as old as Mary. The sum of their ages is 21. How old is Mary? Let J = John's age and M = Mary's age. Select the sy
    6·2 answers
  • Which is shorter, 60 meters or 600 centimeters?
    12·2 answers
  • Which of the following a proportion? 2/5 = 4/25, 4/6 = 6/9, 4/3 = 6/8, 5/6 = 10/18
    14·1 answer
  • Factor the sum of terms as a product of the GCF and a sum: 60+48 what is the ansawer?
    6·2 answers
  • Which graph shows the solution to this system of inequalities?
    12·2 answers
  • What is the value of x?
    7·1 answer
  • In triangle ABC, side AB measures 3 cm, side BC measures 5 cm, and side AC measures 7 cm. The measures of the angles are 21.8º,
    15·2 answers
  • Tory had $20 to buy a birthday present for her dad she decided to buy a DVD for 18. The sales tax is 7% does she have enough mon
    14·2 answers
  • Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a parallelogram? Shape ABCD i
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!