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FTCE Math 5-9

FTCE Math 5-9 Math Formulas

TermDefinition
What is the Midpoint Formula ( (X1+X2)/2 , Y1+Y2)/2 )
What is the slope formula? m=(Y2-Y1) / (X2-X1
1/2(b1+b2) is what formula? median of a trapezoid
What formula is this? -b±√(b^2-4ac) / 2a Quadratic
πr^2 Area of a circle
What is the formula for the area of a regular polygon? 1/2(A)(P) The A represents anthem, the P represents perimeter.
Cosine = cosine = adj/hypo
What is the formula for area of a rhombus? Area=(1/2)(d1)(d2) d represents distance.
What is the formula for difference of cubes? (a-b)(a^2+ab+b^2) To remember the signs: Sum is +, difference is -. The next sign is always OPPOSITE the first sign. The last sign is ALWAYS +.
What is the formula for area of a circle? πr^2
What is the formula for the quadratic equation? -b±√(b^2-4ac) / 2a
1/2(A)(P) is what formula? The area of a regular polygon. The A represents anthem, the P represents perimeter.
What is the formula for area of a trapezoid? (1/2)h(b1+b2)
What is the distance in 3D formula? d=√(x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2
What is the X coordinate of the vertex? -b/(2a)
What is the formula for the length of the median of a trapezoid? 1/2(b1+b2)
What is the 45-45-90 right triangle rule? L = h/√2 L represents LEG h represents hypotenuse
How do you find an exterior angle of a polygon? 360/n n represents the number of sides of the polygon
Opposite/adjacent is what formula? Tangent
(a-b)(a^2+ab+b^2) is what formula? Difference of cubes. To remember the signs: Sum is +, difference is -. The next sign is always OPPOSITE the first sign. The last sign is ALWAYS +.
πd is what formula? One of the two circumference of a circle formulas.
( (X1+X2)/2 , (Y1+Y2)/2 ) is what formula? Midpoint formula
What is the permutation formula? P(n,r) --> n! / (n-r)!
Tangent = Tangent= Opposite/Adjacent
(1/2)h(b1+b2) is what formula? Area of a trapezoid
What is the discriminant part of the quadratic equation? √b^2 - 4AC
Sine= Opposite/Hypotenuse
What is the combination formula? n! / r!(n-r)!
What is the formula to convert Fahrenheit to Celsius? F= F=9/5 C+32
(a+b)(a^2-ab+b^2) is what formula? Sum of Cubes. To remember the signs: Sum is +, difference is -. The next sign is always OPPOSITE the first sign. The last sign is ALWAYS +.
What is the percent of change formula? (Original - New) / Original
What is the formula for Volume of a Sphere? (4/3)πr^3
What is the cosine formula? adjacent/hypotenuse
What is the permutation formula? P(n.r) --> n! / (n-r)! It is used when order matters
What are the TWO formulas for circumference of a circle? πd and 2πr
What is the point slope equation? y-y1=m(x-x1)
What is the general form of the quadratic equation? y=ax^2 + bx + c
d=√(x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2 Is what formula? Distance in 3D
Sine= Sine=Opposite/hypotenuse
What is the geometric sequence formula? a2=(a1)(ai)^a2-1 a2=sequence term we are looking for, ai=common ratio, a1=1st term
(4/3)πr^3 is what formula? Volume of a sphere
What is the formula for area of a trapezoid? (1/2)h(b1+b2)
How do you find the degree of an exterior angle of a polygon? 360/n n= the number of sides the polygon has
What is the slope formula? m= (y2-y1) / (x2-x1)
What is the formula for area of a circle? πr^2
What is the formula for finding the degrees of an interior angle in a regular polygon? (180)(n-2) / n n represents the number of sides the polygon hasCosine=C
Cosine = Cosine= adjacent / hypotenuse
What is the formula for sum of cubes? (a+b)(a^2-ab+b^2) To remember the signs: Sum is +, difference is -. The next sign is always OPPOSITE the first sign. The last sign is ALWAYS +.
1 mile = ________ yards 1760
1/2(b1+b2) is what formula? Length of the median of a trapezoid.
n! / (n-r)! is what formula? Permutation formula, when order matters.
4/3πr^3 is what formula? Volume of a Sphere
Adjacent / hypotenuse is what formula? Cosine
πr^2 is what formula? Area of a circle
What is the formula to convert from Celsius to Fahrenheit? C= C= (5/9)(F-32)
In a 45, 45, 90, right triangle, what is the formula for finding the length of the legs? L = h/√2 L represents LEG h represents hypotenuse
(4/3)πr^2 is what formula? Surface area of a sphere
What is the distance formula? d=√(x2-x1)^2 + (y2-y1)^2
What is the volume of a sphere formula? (4/3)πr^3
What is the relative error formula? (estimated value - actual value) / actual value
What is the fundamental counting principle? If there are M possible outcome for 1 task and N possible outcomes for another task, there is (MxN) possible outcomes for the 2 tasks together.
If the value of the discriminant is zero, how many real roots are there? How many complex roots are there? There is ONE REAL ROOT There are NO COMPLEX or IMAGINARY ROOTS
What is the formula for the area of a circle? πr^2
If the value of the discriminant is any positive number, that is also a perfect square, there are ______ real rational roots. 2
Opposite / Hypotenuse = Sine
What is Euler's formula? V + F = E +2 Vertices + Faces = Edges + 2
What are the two formulas for volume for a right circular cone? (1/3)(H)(B) or (1/3)(πr^2)(H)
What is the formula for surface area of a sphere? (4/3)πr^2
What formula is this: √(x2-x1)^2 + (y2-y1)^2 distance formula
What formula is this? (estimated value - actual value) / actual value Relative error formula
πr^2 is what formula? Area of a circle
What is the arithmetic common difference formula? An = A1+(n-1)z A1 = first term An = the general term n = the number of the term in the sequence z = the common difference
If the value of the discriminant is any negative number, how many real roots are there? How many complex roots are there? The are ZERO real roots. There are TWO complex roots, including i.
What is the formula to determine the amount of diagonals in a polygon? (n(n-3) / (2)
Formula for right circular cone v= (1/3)(π)(r^2)(h)
Formula for surface area of a cylinder 2πrH + 2πr^2
What is the formula for volume of a square pyramid (2 formulas) V=(1/3)LWH or (1/3)BH
D=RT is what formula? Distance=Rate(time)
What is the formula for volume of a cylinder? π(r^2)h
What is the formula to find the sum of an arithmetic series? First use the formula to find the nth term of the series--> an=a1+(n-1)z. Next, n times ( (a1+a2) / (2) ). n=ending term, a1=1st term, a2=last term
What is the formula for determining an arithmetic sequence? an=a1 + (n-1)z --> an=answer you are looking for, a1=1st # in sequence, n=position # you are solving for, z=common difference
On 30,60,90 triangel, what are the formulas for finding the lengths of the sides of the triangle? Short side--> opposite 30 deg angle=(1/2)H, long side--> pop 60 deg angle= sqrt3/2 times H
(N (n-3)) / 2 is what formula? Determine the number of diagonals in a polygon
(1/3)(π)(r^2)(h) is what formula Volume of a right circular cone
2πrH + 2πr^2 is what formula surface area of a cylinder
(1/3)LWH or (1/3)BH are what formulas? volume of a square pyramid
π(r^2)h is what formula? Volume of a cylinder
n times ( (a1+a2) / (2) ) is what formula? Formula to find the sum of an arithmetic series
What is the formula for finding a specific term in a sequence? an=a1 + (n-1)z --> an=answer you are looking for, a1=1st # in sequence, n=position # you are solving for, z=common difference
a2=(a1)(ai)^a2-1 is what formula? Geometric sequence formula a2=sequence term we are looking for, ai=common ratio, a1=1st term
Created by: dcooney