Answer:
centre = (2, - 1), radius = 6
Step-by-step explanation:
Rearrange the equation by placing the x and y terms together and adding 31 to both sides
Given
x² + y² - 4x + 2y - 31 = 0, then
x² - 4x + y² + 2y = 31
Use the method of completing the square
add ( half the coefficient of the x/y term )² to both sides
x² + 2(- 2)x + 4 + y² + 2(1)y + 1 = 31 + 4 + 1
(x - 2)² + (y + 1)² = 36
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 the radius
compare to (x - 2)² + (y + 1)² = 36, then
centre = (2, - 1) and r = 
= 6
You should first of all rewrite the equation in slope intercept form. You should get y=2/3x-2. The perpendicular slope is the opposite reciprocal, in this case -3/2. You will use this slope and the point to write your equation in point slope form and then clean this up to get it into slope intercept form. You should get y=-3/2x-6
Answer:
Option (C)
Step-by-step explanation:
To determine the population we use the formula,
Where 
= final population
= Initial population
r = percentage growth
Now we substitute these values in the formula,
r = 1.0496 - 1
r = 0.0496
r = 0.05
Therefore, percentage growth of the population of Stark county is 5%.
Option (C). will be the answer.
Answer
Step-by-step explanation:
Replace all occurrences of
+
−
with a single
−
. A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because
1
⋅
−
1
=
−
1
−
20
−
2
m
The answer for this problem is b
