Step-by-step explanation:
a. (x-2)^2 + (y+1)^2 = 16
b. (x + 2)^2 + (y-2)^2 = 9
Answer:
The solutions are x=1 and x=-2/3
Step-by-step explanation:
we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
square root both sides
60. set up ratios 45/75 = x/100
Well elapsed time is the time that has passed by. So your end time is 6:00. If 9 3/4 hours passed by until 6:00, then you will need to subtract the time. So something plus 9 3/4 hours = 6:00. Your answer will be 8:15. Just subtract 6:00 by nine hours to get 9:00. So then if 3/4 is 45 minutes, subtract 9:00 by 45 minutes, and you will get 8:15 am. Hope this helps! :)
Answer:
The area of the top of the large cake is 9 pie in2 and that of the small cake is 81 pie in2. The top of the cake has an area equal to 9 times that of the small cake.
Step-by-step explanation:
Area = πr^2
radius of small cake = 6/2 = 3 Inc
radius of large cake = 18/2 = 9Inc
Area of small cake = π3^2
= 9π
Area of large cake = π9^2
= 81π
Ratio = 81π/9π
= 9