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:
Step-by-step explanation:
Acute angle
<span>
Based on the rules of statistics</span>
68% of the data falls within 1 standard deviation of the mean
95% of the data falls within 2 standard deviation of the mean
99% of the data falls within 3 standard deviation of the mean
20 falls between the range of -56 to 56 (from the given 95%)
Hence we accept the null hypothesis; else, if the mean falls outside the
range, we reject the null hypothesis.
<span> </span>
Answer:
25 is the area because5 times 5 equals 25
Step-by-step explanation:
hope this helps
Answer:
A. -415m
Step-by-step explanation:
-300 meters is the starting point.
Then, the submarine goes 115m further below the surface, which can be represented as -115.
Add -300 and -115 and you get -415m.
