Flashcards in ACT Deck (37)

0

## D = ? (Not distance formula)

###
D = rt

Distance = rate x time

1

## Distance formula

### D = √(X2 - X1)^2 + (Y2 - Y1)^2

2

## Cube roots

###
What same number multiplies three times to get x.

Ex. ^3√64 = 4 because 4 x 4 x 4 = 64

3

## Volume of a rectangular prism and cylinder

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V = Bh

*B = area of base

Or V = lwh

4

## Equation of a circle

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(X-h)^2 + (y-k)^2 = r^2

(h,k) = center of circle

X and Y = constant (always x and y)

5

## When is a function undefined?

### When x=0

6

## How can you tell from the slope intercept form that the lines are parallel or perpendicular?

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Parallel = same slope, different y-intercept

Perpendicular = opposite slope

(ex. 1/2 = -1/2)

7

## How to convert degrees to radians

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Degrees = (3.14 / 180 degrees)

* divide 180 but # of degrees and put it on bottom

8

## How to convert radians to degrees

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# of radians x (180 degrees / 3.14)

* eliminate pi and then multiply like normal

9

## Expected value

### Sum of frequency x probability

10

## Experimental probability

### # of occurrences / # of trials

11

## Theoretical probability

### # of favorable outcomes / # of outcomes in sample space

12

## i =

###
Imaginary number

i = √-1

13

## Solving systems of equations by graphing (6)

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1. Solve for y (y=mx+b)

2. Graph

3. Shade and test the point (0,0) by making (x, y) = (0,0)

4. Find the intersection of the two shadings

• = ≤ or ≥ (solid line)

o = < or > (dashed)

14

## Where to graph a vertical / horizontal line (4)

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Vertical = x-axis

Horizontal = y-axis

Vertical line = undefined slope

Horizontal line = no slope

15

## Disjunction

### Or

16

## Conjunction

### And

17

## Absolute values with inequalities

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Less thAND

GreatOR

18

## Angles formed by parallel lines with transversal lines

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Corresponding angles = congruent

Alternate interior / exterior angles = congruent

19

## To find total sum of interior angles of a polygon

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S=180(n-2)

n= # of sides

20

## Geometric mean

### a/x = x/b

21

## Volume of pyramids

###
V = 1/3Bh

*B = area of base

22

## Volume of cone

### V= 1/3πr²h

23

## Area of a rhombus or kite

### A = 1/2d₁d₂

24

## Area of a trapezoid

### A = 1/2h(b₁ + b₂)

25

## Direct / indirect variation

###
Direct - y=kx

Indirect - y= k/x

26

## Surface area of prisms

###
SA = Ph + 2B

*B = area of base

27

## Surface area of cones

###
SA = πrl + πr²

l = slant height

28

## Surface area of a sphere

### SA = 4πr²

29

## Independent clause

###
Can stand alone in a sentence - forms a complete thought

Has a subject and verb

30

## Dependent clause

###
Depends on independent clause to exist

Has a subject and verb, but doesn't form a complete thought

31

## Semi-colons

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Use b/t 2 independent clauses

Use b/t 2 independent clauses + transition, followed by a comma

To separate longer items in a parallel series

32

## Collective nouns

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Singular and require singular verbs

Ex. group, class, flock, force of cops, etc

33

## Commas

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When because is after the independent clause = no comma

When because is first in a sentence, follow with a comma

34

## Saxophone

### Woodwind instrument

35

## What else to use to describe "inefficient"

### Lax, and indifferent towards

36