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# FTCE Math 5-9

### FTCE Math 5-9 Math Formulas

Term | Definition |
---|---|

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