Math Final Term 3 Flashcards

1
Q

Range of function annotation

A

F(x)

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2
Q

Domain in a function annotation

A

x

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3
Q

Pythagorean theorem

A

a^2+b^2=c^2

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4
Q

Pythagorean inequality Theorem if acute

A

c^2 < a^ 2+b^2

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5
Q

Pythagorean theorem if obtuse triangle

A

c^2 > a^2 + b^2

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6
Q

Triangle inequality theorem

A

Sum of lengths of any 2 sides of a triangle must be greater than the length of the third side

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7
Q

Lateral area equation for regular prism

A

L = Ph, p is perimeter, h is Hight

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8
Q

Surface area of regular prism

A

S = L + 2B , =Ph + 2B

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9
Q

Area of square

A

A = side x side

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10
Q

Area of triangle

A

A = bh/2

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11
Q

Area of circle

A

A= pie x r^2

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12
Q

Area of parallelogram

A

A =bh

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13
Q

Area of trapezoid

A

A = h(a+b)/2

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14
Q

Lateral area of a right cylinder

A

L or Ch (c for circumference)= 2 x pie x rh

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15
Q

Surface area of right cylinder

A

S= L+WB , Ch+2b, (2 x pie x rh) + (2 x pie x r^2)

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16
Q

Lateral area of regular pyramid

A

L=Pl(l=slanted Hight) / 2

17
Q

Surface area of regular pyramid

A

S=L+B (area of base)

18
Q

Lateral area of a circular cone

A

L=pie x rl

19
Q

Surface area of circular cone

A

S= L+B , ( pie x rl ) + (pie x r^2 )

20
Q

Surface area of sphere

A

S = 4 x pie x r^2

21
Q

Surface area of hemisphere

A

S = 3 x pie x r^2

22
Q

Volume of sphere

A

4/3 x pie x r^3

23
Q

Volume of hemisphere

A

(4/3 x pie x r^3) / 2

24
Q

Rule for reflection over the x-axis

A

(x,y) —> (x, -y)

25
Q

Rule for reflection over the y-axis

A

(x,y) —> (-x,y)

26
Q

Translation vector

A

Between < , > and the signs of the number indicate direction

27
Q

Coordinate notion

A

(x,y) —> (x+#, y+#)

28
Q

Rule for 90* counter clockwise rotation

A

(X,y) —> (-y,x) (also for 270* clockwise

29
Q

Rule for 270* counter clockwise rotation

A

(x,y) —> (y,-x) (also for 90* clockwise

30
Q

Rule for 180* counter clockwise rotation

A

(x,y)—> (-x,-y) ( the same for counter and not )

31
Q

Order of translation, reflection and rotation

A

translation THEN rotation Reflection THEN