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
Answer:
B.
Step-by-step explanation:
Perpendicular lines always intercept at a right angle (90 degrees).
Mark will swim 182.88 meters
Answer:
77%
Step-by-step explanation:
23 divided by 30 is 0.766666, which percent-wise is rounded to 77% :)
Answer:
64%
Step-by-step explanation:
.64 is equal to 64%
In order to convert move the decimal over two spaces and add a percent sign (%).
Move the decimal 0.64 to 64 and add percent sign 64%.
