Answer:
(x + 1)² + (y + 3)² = 16
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 + y² + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r = 
= 4
Answer: I write more than one choice . The book is on the table , desk , bed , chair or shelf.
Step-by-step explanation: hope it helps
Set the function to equal zero:
To find the zeros, or solutions, to this problem, we will use the quadratic formula:
Plug the values into the equation:
Solve for both plus and minus:
The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.
The answer is
'<span>
x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>
Answer:
4√2 units (Answer C).
Step-by-step explanation:
Going from the seat at (-4,6) to the one at (0,10), x increases by 4 units and y increases by 4 units. We need to use the distance formula to determine how far apart these seats are.
d = √(change in x)^2 + (change in y)^2 ).
That works out to:
d = √(4^2 + 4^2) = √(32) = 4√2 units (Answer C).
A. m^2 - 36 = 0
m^2 = 36
m = √36 = 6 or -6
b. 3x^2 + 15 = 0
3x^2 = -15
x^2 = -5
x = √(-5) not possible unless complex numbers is applied
-1 = i^2
x = √(-5) = √(5i^2) = √5i
c. 4d^2 + 16 = 16
4d^2 = 0
d^2 = 0
d = 0
Hope it helped!
