Answer:
x² + y² + 4x - 2y + 1 = 0
Step-by-step explanation:
The equation of a circle is given by the general equation;
(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius.
In this case; the center is (-2,1)
We can get radius using the formula for magnitude; √((x2-x1)² + (y2-y1)²)
Radius = √((-4- (-2))² + (1-1)²)
= 2
Therefore;
The equation of the circle will be;
(x+2)² + (y-1)² = 2²
(x+2)² + (y-1)² = 4
Expanding the equation;
x² + 4x + 4 + y² -2y + 1 = 4 subtracting 4 from both sides;
x² + 4x + y² - 2y + 4 + 1 -4 = 0
= x² + y² + 4x - 2y + 1 = 0
Answer:
10% decrease
Step-by-step explanation:
The formula for percent change is:

Therefore, for this example:

The negative value indicates that the change was a decrease. Therefore, there was a 10% decrease.
Answer:
4:50 P.M.
Step-by-step explanation:
Sorry I don't know how to properly explain it but I just added 50 minutes to 4 o' clock to get the answer.
Hope this helps!
Maybe brainliest?
Answer:
B.
Step-by-step explanation:
Given: expressions
To find: the expression whose value is closest to e
Solution:
Value of e is 2.718

Therefore, value 2.659 is closest to the value of e.
So, option B. is correct.
Perpendicular slopes multiply to -1, so are <em>negative reciprocals.</em>
-1 / -3 = 1/3
Answer: B. 1/3