Formulas
What is the formula to find slope?
rise/run = (y2-y1)/(x2-x1)
If 2+sqrt(2) is a root of a polynomial, what is guaranteed to be another root?
2-sqrt(2)
If you jog 6mph for 25 minutes, how many miles did you run?
2.5 miles
What is the order of operations?
PEMDAS
If tanx=(10/3), find cosx.
cosx=3/(109)1/2
What is the midpoint formula?
((x1+x2)/2), ((y1+y2)/2)
Solve for m.
(x(2m-3))3=x21
m=5
You drive 45 miles per hour for 45 seconds. How far have you travelled in miles? Do not round.
0.5625 Miles
Draw and label a 45-45-90 triangle.
x
x
x root 2
360 degrees is equivalent to _____ radians.
2pi
What is the distance formula?
the square root of (x2-x1)2 + (y2-y1)2
Simplify i^43
-i
If you walk 5 miles at a rate of 3.5 miles per hour, how long did it take?
1.42 hours or
1 hour 25 minutes
DOUBLE JEOPARDY!!!!!
Draw and label a 30-60-90 triangle.
x
x root 3
2x
What is the formula for arc length?
Arc Length = (theta/360)*2pi*r
What is the generic formula for "volume" of any prism?
Volume = (area of base) x (height)
30 is .07% of what number?
42857.14286...
A canoe rowed down the river to the checkpoint in 25 minutes. When the canoe rowed upstream to the startpoint/finish line it took 35 minutes. If the rowers can row the boat 15mph on calm water, how fast is the river flowing?
2.5mph
DOUBLE JEOPARDY!!!!
Name the center and radius of the following equation of a circle:
(x-4)2 + y2 = 52
center is (4, 0)
radius is 2 square root 13
The period and amplitude of the function
y=-5sin((9pi/2)*x)
A=5
P=4/9
What is the formula for area of a trapezoid?
A = ((b1+b2)/2) x (h)
DOUBLE JEOPARDY!!!!
What is the value of 3*ln(e^12)?
36
You walk to school with the winter wind against your back and it takes 1 hour. The 3 hour walk home is terrible and the wind is against your face. How much is the wind affecting your walking speed if you typically walk 3.5 miles per hour?
1.75 mph faster/slower
Name the center and radius of
x^2+y^2 - 4x - 6y=3
Center (2,3)
Radius 4
What are all of y=(x+1)/(x2-2x-8) asymptotes?
Horizontal: x=0
Vertical: x=4, x=-2