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:
0.4p or p-0.6p
Step-by-step explanation:
We use percents in decimal form to multiply it with the price. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.
There are two ways to look at it:
- For finding the price we pay during a sale, we focus on the percent we pay. If 60% off is the sale, then we spend 40% or 100-60=40. 40% is 0.40. Multiply that by p an unknown price and we have 0.4p.
- We can find the percent off by multiplying the price by the percent conversion. So 60% is 0.60. Then subtract it from the original price to find the leftover that we pay. This is p-0.6p.
I would say D midpoint! Hope this helps :)
Answer: A
Step-by-step explanation:
See attached picture
