Answer:
r = 10 , centre = (6, - 2 )
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² - 12x - 60 = - y² - 4y ( add y² + 4y to both sides )
x² - 12x + y² + 4y - 60 = 0 ( add 60 to both sides )
x² - 12x + y² + 4y = 60
using the method of completing the square
add ( half the coefficient of the x and y terms )² to both sides
x² + 2(- 6)x + 36 + y² + 2(2)y + 4 = 60 + 36 + 4
(x - 6)² + (y + 2)² = 100 ← in standard form
with centre = (6, - 2 ) and r = 
= 10
Answer:
Step-by-step explanation:
So to graph an inverse of the function given we have to switch the x and y values of the function:
So Ill do some points and the rest of the points the same process is applicable.
So our first point is (-1,1)
So our inverse point would be (1,-1)
The second point is (-2,2)
So our inverse point would be (2,-2)
The third point is (-3,3)
So our inverse point would be (3,-3)
Hope this helps!
Answer:
Step-by-step explanation:
If there needs to be 4 teachers per 21 students, you would divide the total amount of students by 21 and multiply that answer by 4. SO...:
84 ÷ 21 = 4 groups of 21 students.
4 groups × 4 teachers = 16
*** Answer***
16 TEACHERS
Answer:
Step-by-step explanation:
prime factorization
40y³ = 2³×5y³
625 = 5⁴
Greatest common factor = 5
40y³ - 625 = 5(8y³ - 125)
Note that 8y³ - 125 is the difference of cubes.
8y³ - 125 = (2y)³ - 5³ = (2y-5)((2y)² + 2y·5 + 5²) = (2y-5)(4y² + 10y + 25)
40y³ - 625 = 5(2y-5)(4y² + 10y + 25)
Answer:
1. B>-7 2. M is > or = to 8.8 3. Y < 1/2
Step-by-step explanation:
