Answer:
centre = (- 3, - 2) , radius = 1
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 + 6x + y² + 4y + 12 = 0 ( subtract 12 from both sides )
x² + 6x + y² + 4y = - 12
Use the method of completing the square on the x and y terms
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(3)x + 9 + y² + 2(2)y + 4 = - 12 + 9 + 4
(x + 3)² + (y + 2)² = 1 ← in standard form
with centre = (- (- 3), - (- 2)) and r² = 1, that is
centre = (- 3, - 2) and radius = 1
Okay, all we need to do is divide 8 from both sides:
-104/8=-13
So x=-13
:D
Answer:
13.13
Step-by-step explanation:
39.39 ÷ 3
13.13
There is not a lot of work
Looking at it we can tell that 3 will go into 3 one time, and 3 will go into 9 three times because:
1 x 3 = 3
3 x 3 = 9
The answer will be: 1,000,000 if you round to the nearest hundred thousands. Hope it helps! :D
Answer:
![\sf A) \ (-4, \ 0) \ and \ \ [\dfrac{5}{2} , \ 0]](https://tex.z-dn.net/?f=%5Csf%20A%29%20%5C%20%28-4%2C%20%5C%200%29%20%5C%20and%20%5C%20%5C%20%20%5B%5Cdfrac%7B5%7D%7B2%7D%20%2C%20%5C%200%5D)
Explanation:
Given function: f(x) = -2x² - 3x + 20
To find the x-intercepts of a function, f(x) = 0
=================
-2x² - 3x + 20 = f(x)
-2x² - 3x + 20 = 0
-2x² - 8x + 5x + 20 = 0
-2x(x + 4) + 5(x + 4) = 0
(-2x + 5) (x + 4) = 0
-2x + 5 = 0, x + 4 = 0
-2x = -5, x = -4
x = -5/-2,x = -4
x = 5/2, x= -4
Coordinates: (-4, 0), (5/2, 0)
