Answer: Santa's speed in still air is 6 miles per minute
Speed of the wind is 1 mile per minute
Step-by-step explanation:
Let x represent the speed of Santa in still air. It is assumed that in still air. She is flying with the wind. If the speed of the wind is y, then him total speed is x + y
It takes Santa 5 minutes to fly 35 miles with the wind.
Speed = distance / time
It means that
x + y = 35/5 = 7
It takes him 7 minutes to fly 35 miles against the wind. This means that his total speed will be x - y
Speed = distance/time. Therefore,
x - y = 35 /5 = 5 - - - - - - 1
Substituting x = 7 - y into equation 1, it becomes
7 - y - y = 5
-2y = 5 - 7 = -2
y = -2/-2 = 1
x = 7 - y = 7 - 1
x = 6
Answer:
x = -10, -8
Step-by-step explanation:
x^2+18x+80=0
Subtract 80 from each side
x^2+18x=-80
Take the coefficient of x
18
Divide by 2
18/2 = 9
Square it
9^2 =81
Add 81 to each side
x^2+18x +81=-80+81
(x+ 9) ^2 = 1
Take the square root of each side
sqrt((x+ 9) ^2 )=±sqrt( 1)
x+9 = ±1
Subtract 9 from each side
x+9-9= -9 ±1
x = -9+1 x = -9-1
x = -8 x = -10
