The midpoint of the diameter endpoints is the center of the circle...
((2+9)/2, (4+4)/2)
(5.5, 4) is the center of the circle...
The distance between the two endpoints is the diameter of the circle...
d^2=(4-4)^2+(9-2)^2
d^2=0+49
d^2=49
d=7
So the radius is d/2 which is 3.5
Now the equation of a circle is:
(x-h)^2+(y-k)^2=r^2 where (h,k) is the coordinates of the center and r is the radius.
Earlier we found (h,k) to be (5.5, 4) and r=3.5 so our equation is:
(x-5.5)^2+(y-4)^2=3.5^2
(x-5.5)^2+(y-4)^2=12.25
Answer:
C
Step-by-step explanation:
Answer:
$3.20
Step-by-step explanation:
I hope this helps.
Sorry if I'm wrong.
Answer:
75+(-50)=75-50
Step-by-step explanation:
-let x be the profit made last week and y be the profit made this week.
-The two week profit/ loss is given as:

#We substitute actual values to calculate the profit/loss made:

Hence, the two-week combined profit is $25.00
Answer:
6536.25
Step-by-step explanation:
Given that :
Number of friends = 4
Cost of movie ticket = 725 each
At concession stand:
Pop corn = 850
Number of popcorn = 2
Large soda = 575
Number of large sodas = 3
Discount given = 15%
Amount spent on movie ticket :
725 * 5 = 3625
Amount spent at concession stand :
Cost of popcorn + cost of large soda
(850 * 2) + (575 * 3) = 3425
15% discount on purchase :
Discount = ((1-0.15) * 3425) = 2911.25
Total amount spent :
3625 + 2911.25
= 6536.25