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
IgorLugansk [536]
3 years ago
6

What is the coordinate?

Mathematics
1 answer:
faltersainse [42]3 years ago
7 0
Remember that the equation of a circle is:
(x - h)^{2} + (y - k)^{2} =  r^{2}
Where (h, k) is the center and r is the radius.
We need to get the equation into that form, and find k.

x^{2} - 6x +  y^{2} - 10y = 56

Complete the square. We must do this for x² - 6x and y² - 10y separately.

x² - 6x
Divide -6 by 2 to get -3.
Square -3 to get 9. Add 9,
x² - 6x + 9

Because we've added 9 on one side of the equation, we have to remember to do the same on the other side.

x^{2} - 6x + 9 + y^{2} - 10y = 65

Now factor x² - 6x + 9 to get (x - 3)² and do the same thing with y² - 10y.

y² - 10y
Divide -10 by 2 to get -5.
Square -5 to get 25.
Add 25 on both sides.

(x - 3)^{2}+ y^{2} - 10y + 25= 90

Factor y² - 10y + 25 to get (y - 5)²

(x - 3)^{2}+ (y - 5)^{2} = 90

Now our equation is in the correct form. We can easily see that h is 3 and k is 5. (not negative because the original equation has -h and -k so you must multiply -1 to it)

Since (h, k) represents the center, (3, 5) is the center and 5 is the y-coordinate of the center.
You might be interested in
Pls pls help I’m really confused could someone explain to me pls
kenny6666 [7]
Answer: 11.6

--------------------------------------

Explanation:

See the attached image for a visual reference

The distance from point D to E is 21 units. Point C is the midpoint, so CD is 10.5 units long (21/2 = 10.5)

We have a right triangle ACD. The legs are
AC = 5
CD = 10.5
The hypotenuse is 
AD = x
Because AD is another radius of the same circle

Use the pythagorean theorem to find x
a^2 + b^2 = c^2
5^2 + 10.5^2 = x^2
25 + 110.25 = x^2
135.25 = x^2
x^2 = 135.25
x = sqrt(135.25)
x = 11.629703349613
which rounds to 11.6 when rounding to the nearest tenth (one decimal place)

3 0
3 years ago
What is the square root of 121
Dvinal [7]

Answer:

11

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is n? If 3 to the power of n equals 27
jok3333 [9.3K]
3^n=27

Solve Exponent.

3^n=27

log(3n)=log(27)(Take log of both sides)

n*(log(3))=log(27)

n=log(27) / log(3)

n=3

4 0
3 years ago
Read 2 more answers
Plsss help quick three question
yKpoI14uk [10]

Answer:

1) A

2) min; min; max; max

3) y = x² + 5x - 3

Step-by-step explanation:

f(x) = x² + 2(x)(5) + 5² - 5² + 24

f(x) = (x + 5)² - 25 + 24

f(x) = (x + 5)² - 1

In ax² + bx + c,

if a > 0, it's a min

if a < 0, it's a max

y = ax² + bx + c

Using (0,-3)

-3 = a(0)² + b(0) + c

c = -3

y = ax² + bx - 3

Using (1,3)

3 = a + b - 3

a + b = 6

Using (-1,-7)

-7 = a(-1)² + b(-1) - 3

-7 + 3 = a - b

a - b = -4

b = a + 4

a + (a + 4) = 6

2a = 2

a = 1

b = 5

y = x² + 5x - 3

7 0
3 years ago
the graph shows the amount of money paid when purchasing bags of carmel corn at the zoo. what is the constant of proportionality
Mars2501 [29]

Answer:

it would be pp

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • The florist makes the greatest number of identical arrangements with the carnations and asters. She has 72 carnations and 42 ast
    6·1 answer
  • Plz help <br> Give answer!!
    10·1 answer
  • Ciana worked 5 hours on Saturday and
    8·1 answer
  • He trapezoid is composed of a rectangle and two triangles. What is the area of the rectangle? What is the total area of the tria
    12·2 answers
  • 5/3 X + 10/7 = 30/7<br><br> ¿como se resolveria?
    6·1 answer
  • Find the measure of ∠BAC. Create another angle with the same measure. Measure the new angle to verify that it has the same angle
    6·1 answer
  • Please help me, and have a great day!
    8·1 answer
  • Please solve this question! Best answer gets brainliest!
    13·1 answer
  • Y/2=-6 choose the reason that best justifies it
    6·1 answer
  • What is the value of x if |x-1)=x-2 ?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!