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.
Answer:
x = - 8, x = - 4
Step-by-step explanation:
x² + 12x + 32 = 0 ← in standard form
(x + 8)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x + 4 = 0 ⇒ x = - 4
Let x be the number
5x = x + 5
subtract x from both sides
5x - x = 5
4x = 5
Divide both sides by 4
4x/4 = 5/4
x = 5/4
=======
Check:
5 * (5/4) = (5/4) + 5
25/4 = 1.25 + 5
6.25 = 6.25
Hope it helps . Note that I am a sixth grade student and I don’t know anything . I got help from somebody
This looks like a science lab you have to do on your own