X² - 4x + y² - 8y = 5
Complete the square:
x² - 4x + (4) + y² - 8y + (16) = 5 + (4) + (16)
→ (x - 2)² + (y - 4)² = 25
Center: (2,4)
radius: √25 = 5
4 loaves : 6 cups
That simplifies to 2 loaves : 3 cups
So, your ratio is 2:3
Answer:
x = 104° because they are alternate interior angles and alternate interior angles are equal
Step-by-step explanation:
Answer:
- plane: 530 mi/h
- wind: 40 mi/h
Step-by-step explanation:
Let p and w represent the speeds of the plane and the wind. The relation between time, speed, and distance is ...
speed = distance/time
p +w = (2565 mi)/(4.5 h) = 570 mi/h
p -w = (2205 mi)/(4.5 h) = 490 mi/h
Adding these speeds, we get ...
(p +w) +(p -w) = (570) +(490) mi/h
2p = 1060 mi/h
p = 530 mi/h
Then the speed of the wind is ...
w = 570 mi/h -p = (570 -530) mi/h = 40 mi/h
The plane's speed is 530 mi/h; the wind speed is 40 mi/h.
12,750 tickets were sold. 0.85*15,000
