Answer:
Center = (5, -2) and radius = √33
Step-by-step explanation:
The equation of a circle is given by the formula;
(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius of the circle.
In this case;
2x² - 20x + 2y² + 8y =40 ;
Dividing both sides of the equation by 2 we get;
x² - 10x + y² + 4y = 20
we can then use the completing the square on both x and y terms.
x² - 10x + y² + 4y = 20
x² + 2(-5)x + 25 + y² + 2(2) y + 4 = 20 +9 + 4
In standard form we get;
(x-5)² + (y+2)² = 33
Therefore;
Center = (5, -2) and radius = √33
Answer: 4p^2-2p
Step-by-step explanation:
Answer:
25 + 0.15m = 71.8
Step-by-step explanation:
Given:
Fixed charge = $25
Additional charge for each mile = $0.15
Let number of miles driven be m.
Total Billed amount = $71.80
Now total bill amount is calculated by adding fixed charge with additional charge for each mile times number of miles.
Hence,
Total Billed amount = Fixed charge + Additional charge for each mile × number of miles driven
25 + 0.15m = 71.8
Hence the equation is 25 + 0.15m = 71.8.
Answer:
2,099/2,100
Step-by-step explanation:
2,100-1=2,099
