X² + y² - 8x - 12y + 52 = 36
x² - 8x + y² - 12y + 52 = 36
x² - 8x + y² - 12y = 88
(x² - 8x + 16) + (y² - 12y + 36) = 88 + 16 + 36
(x - 4)² + (y - 6)² = 138
(h, k) = (x, y) = (4, 6)
So I had to reread this about 3 times before it finally clicked, I've never done a problem like this before. An ordered pair is organized like so: (x-coordinate, y-coordinate) Meaning x=4 and y=6. If x=hot dogs and y=drinks then this means that Ben purchased 4 hot dogs and 6 drinks at the game.
Hope this helps!! (:
Answer:
10cm (I think)
Step-by-step explanation:
2/3 = .66666666 x 6 = 4
4 +6 = 10
Try this solution:
Answer: 6 & 4.5 (m-per-h)
Step-by-step explanation:
- The basic formula used in this task is S=V*t, where S - distance, V - speed, t - time.
- the downstream speed is: V+Vc, where V - the speed of the boat in still water, Vc - the speed of the current.
- the upstream speed is: V-Vc.
- according to the described above the distance for downstream is S1=(V+Vc)*t1, where t1=10; the distance for upstream is S2=(V-Vc)*t2, where t2=70.
- for whole travel down- and upstream: S=S1+S2.
- Using these it is possible to make up the system of the equations:
V - the speed of the boat in still water - 6 miles per hour, Vc - the speed of the current - 4.5 miles per hour. All the details for the system of the equations are in the attachment.
4 1/5 - 2 9/10 = 4 2/10 - 2 9/10 = 3 12/12 - 2 9/10 = 1 3/10. Hope this helped