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
11111nata11111 [884]
3 years ago
5

The center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the e

quation for the circle?
A- x2 + y2 − 6x − 16y + 48 = 0
B- x2 + y2 − 6x − 16y − 25 = 0
C- x2 + y2 + 6x + 16y + 48 = 0
D- x2 + y2 + 6x + 16y − 25 = 0
Mathematics
2 answers:
babymother [125]3 years ago
8 0
The answer is A. To understand that, you need to put it in order by the x's and the y's to get x^2-6x + y^2-16y = -48. Now complete the square on both the x and the y terms to get (x^2-6x+9) +(y^2-16y+64) = -48+9+64. Rewriting that in vertex form on the left and doing the math on the right gives you
(x-3)^2 + (y-8)^2 = 25, which shows you a center of (3,8) and a radius of 5.
TiliK225 [7]3 years ago
8 0

Answer:

The correct option is A.

Step-by-step explanation:

The standard from of a circle is

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

Where, (h,k) is center of the circle and r is the radius.

It is given that the center of the circle is (3,8) and the radius of the circle is 5 units.

Substitute h=3, k=8 and r=5 in the above equation .

(x-3)^2+(y-8)^2=5^2

x^2-6x+9+y^2-16y+64=25          [\because (x-y)^2=x^2-2xy+y^2]

x^2+y^2-6x-16y+9+64=25

x^2+y^2-6x-16y+73=25

Subtract 25 from both the sides.

x^2+y^2-6x-16y+73-25=0

x^2+y^2-6x-16y+48=0

Therefore the correct option is A.

You might be interested in
How were the numbers 1 10 100 and 1000 written by romans?
Arturiano [62]
1 --  I
10 -- X
100 -- C
1000 -- M 
8 0
3 years ago
Solve for x in the equation x2 + 4x-4=8.
iren [92.7K]

{x}^{2}  + 4x - 4 = 8 \\  =  >  {x}^{2}  + 4x - 4 - 8 = 0 \\  =  >  {x}^{2}  + 4x - 12 = 0 \\  =  >  {x}^{2}  + 6x  - 2x - 12 = 0 \\  =  >  x(x + 6) - 2(x + 6) = 0 \\  =  > (x - 2)(x + 6) = 0 \\  =  > x = 2 \:  \:  \: or \:  \:  \: x =  - 6

<u>Answer</u><u>:</u>

x = -6 or x = 2

Hope you could get an idea from here.

Doubt clarification - use comment section.

7 0
2 years ago
What do they mean by this!?!?!? I didn't learn this yet.... I think .......... look at the picture
oee [108]
It means to break down the number 20
6 0
3 years ago
Read 2 more answers
Pls help me i will give brainliest!!!!!!!!!!!!!
adell [148]

Answer:

x= 2b-a

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A basketball team has won 50 games of 75
Alex73 [517]

Answer:

27 more games

Step-by-step explanation:

The team has played 75 games so far. Theyve won 50 out of 75 of those games. They still have 45 games left to play. That's 120 games in total. 60% of 120 is 72. They have to win 72 games in total. 72 - 45 = 27. They need to win 27 more games in order to have won 60% of all the games theyve played.

3 0
3 years ago
Other questions:
  • Please solve this following question in the picture.
    15·1 answer
  • Which of the following is the equation for a circle with a radius of r and center at (h,v)
    5·2 answers
  • Is the following statement a good definition? Why?
    12·2 answers
  • HELP ASAP 5 STARS, THANKS, 20 POINTS, BRAINLIEST,
    14·2 answers
  • Find a counterexample to show that the statement is false. Assume all sets are subsets of a universal set U = {1, 2, 3, 4, 5}. (
    7·1 answer
  • Can you plz help me with #10
    7·1 answer
  • Convert the units of length.
    12·1 answer
  • 50 pennies weigh 135 grams. 1 ounce equals to 30 grams. How many ounces will 100 pennies weigh?
    14·1 answer
  • Easy rational numbers question!-help!
    11·1 answer
  • 23c=(f-32) divided 1.8
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!