Remember that the equation of a circle is:

Where (h, k) is the center and r is the radius.
We need to get the equation into that form, and find k.

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.

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.

Factor y² - 10y + 25 to get (y - 5)²

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.
Answer:
square
rectangle
quadrilateral
Step-by-step explanation:
Sides are all equal
Answer:
11/ 42. *. X^ 2. * X = I/3 X A * h; if E = 1/3 A
Then the answer is EX
Step-by-step explanation:
Volume of cone= 1/3 * base area * height
= 1/3 * pi* (X/2)^2 * X
= 1/3. * 22/ 7 * X^3/4
= 22/ 21 * X^3 / 4
= 11/21 *. X^2/ 2. *. X
= 11/ 42. * X^3
= 11/ 42. *. X^ 2. * X
Answer:
Media = 4.1
Mediana = 4
Moda = 4
Step-by-step explanation:
3 personas obtuvieron 5 puntos
5 personas obtuvieron 4 puntos
2 personas lograron 3 puntos
a. La media se da como:
Media = suma total de marcas / número de personas
Por lo tanto, la media será:

b. Para obtener la mediana, tenemos que organizar los términos en consecuencia y encontrar el número en el medio.
3, 3, 4, 4, 4, 4, 4, 5, 5, 5
Como no hay un número único en el medio, la mediana es:
(4 + 4) / 2 = 8/2 = 4
c. La moda es el número que aparece más, y eso es 4
Answer:
0 (1,2,3,4,5,)and (0,1,2,3,4,5,)