Answer:
Suppose an aerial freestyle skier goes off a ramp with her path represented by the equation y=−0.024(x−25)2+40. If the surface of the mountain is represented by the linear equation y=−0.5x+25, find the distance in feet the skier lands from the beginning
9x + 4 = 58
9x = 54
x = 6
The number is 6.
Answer:
y = - 
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 3 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - , hence
y = - x + c ← is the partial equation of the perpendicular line
To find c substitute (3, 1) into the partial equation
1 = - 1 + c ⇒ c = 1 + 1 = 2
y = - x + 2 ← equation of perpendicular line
X= number of tubs Kasey sold
3x= number tubs sister sold
Add the number sold by Kasey and her sister to equal the total sold (88).
x + 3x= 88
combine like terms
4x= 88
divide both sides by 4
x= 22 number tubs Kasey sold
Number Sold by Sister
3x= 3(22)= 66
CHECK:
x + 3x= 88
22 + 3(22)= 88
22 + 66= 88
88= 88
ANSWER: Kasey sold 22 tubs and her sister sold 66 tubs.
Hope this helps! :)
Answer:
60
Step-by-step explanation:
Cot is the same as 1/tan so:
By rearranging the equation, we get:
By taking the inverse tan, we get:
