Sine cosine graphs - Study guides, Class notes & Summaries
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Edexcel Pure Maths: A-Level, Content ideas and Formula Already Passed
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Edexcel Pure Maths: A-Level, Content ideas and Formula Already Passed What are the turning point co-ordinates in f(x)=a(x+p)^2 +q (-p,q) 
How many roots are there if the discriminent > 0? Two distinct roots 
How many roots are there if the discriminent = 0? One/repeated root 
How many roots are there if the discriminent < 0? no real roots 
What can we use the discriminent to find? no. of points of intersection 
What does the solution of a pair of simultaneous equations represent? points of...
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Edexcel A Level Maths – Pure A+ Graded 100% Verified
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Edexcel A Level Maths – Pure A+ Graded 100% Verified 
 
Natural Numbers ANS: The set of numbers 1, 2, 3, 4, ... Also called counting numbers. 
 
Integers ANS: The set of whole numbers and their opposites 
Z⁺ 
Z⁺₀ 
 
Rational Number ANS: set of all numbers that can be written as a fraction of two integers 
Q 
 
irrational numbers ANS: Numbers that can't be written as a fraction... examples √2 and π 
 
Universal Set ANS: A set that includes all the objects being discussed. 
 
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Pure Maths A Level Questions and Answers 100% Pass
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Pure Maths A Level Questions and Answers 100% Pass Gradient y2-y1/x2-x1 
Length of a line sqrt((x2-x1)^2+(y2-y1)^2) 
Midpoint (x1+x2/2, y1+y2/2) 
How do you know if two lines are perpendicular? When you multiply the gradients together they should equal -1. The general rule is perpendicular = -1/m. Or you could use Pythagoras to show there is a right angle 
How do you know if two lines are parallel? The gradients should be the same 
What should you always remember when finding the square roots? T...
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Edexcel A-Level Mathematics - Pure Maths
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1.	Gradient	y2-y1/x2-x1 2.	Length of a line	sqrt((x2-x1)^2+(y2-y1)^2) 3.	Midpoint	(x1+x2/2, y1+y2/2) 4.	How do you know if two lines are perpendic- ular? When you multiply the gra- dients together they should equal -1. The general rule is perpendicular = -1/m. Or you could use Pythagoras to show there is a right angle 5.	How do you know if two lines are parallel?	The gradients should be the same 6.	What should you always remember when finding the square roots? The answer cou...
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Pure Maths A Level|2023 LATEST UPDATE|GUARANTEED SUCCESS
- Exam (elaborations) • 8 pages • 2023
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Gradient 
y2-y1/x2-x1 
 
 
 
Length of a line 
sqrt((x2-x1)^2+(y2-y1)^2) 
 
 
 
Midpoint 
(x1+x2/2, y1+y2/2) 
 
 
 
How do you know if two lines are perpendicular? 
When you multiply the gradients together they should equal -1. The general rule is perpendicular = -1/m. Or you could use Pythagoras to show there is a right angle 
 
 
 
How do you know if two lines are parallel? 
The gradients should be the same 
 
 
 
What should you always remember when finding the square roots? 
The answer could...
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Edexcel A-Level Mathematics - Pure Maths
- Exam (elaborations) • 18 pages • 2023
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1.	Gradient	y2-y1/x2-x1 2.	Length of a line	sqrt((x2-x1)^2+(y2-y1)^2) 3.	Midpoint	(x1+x2/2, y1+y2/2) 4.	How do you know if two lines are perpendic- ular? When you multiply the gra- dients together they should equal -1. The general rule is perpendicular = -1/m. Or you could use Pythagoras to show there is a right angle 5.	How do you know if two lines are parallel?	The gradients should be the same 6.	What should you always remember when finding the square roots? The answer cou...
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ACT Test Math Practice 70 Questions with Verified Answers,100% CORRECT
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ACT Test Math Practice 70 Questions with Verified Answers 
 
A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles? - CORRECT ANSWER If you divide 2,727 miles by 27 miles per gallon you will get the number of gallons: = 101. Then, multiply the number of gallons by the cost per gallon: 101(4.04) = 408.04. This gives the cost of gas for this car to travel 2,727 typical miles. 
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Precalculus Notes
- Class notes • 62 pages • 2022
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Notes from Precalculus class taken in Fall 2020. The notes are extensively detailed with examples and pictures of graphs. I have highlighted important information that is necessary to understanding the lesson. Specific topics included are functions, unit circle, ellipse, exponential functions, quadratic formulas, logarithmic equations. exponential equations, systems of equations, growth models, law of cosines, half angle identities, and polar coordinates.
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Math 3C Class notes: Chapter 5
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Notes include Trig Identies, Sinosoidal Angle, Right Angle Trig, and examples of mentioned.
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Exam (elaborations) TEST BANK FOR Serway & Jewett’s Physics for Scientists and Engineers 9th Edition VOLUME 1 By Raymond A. Serway and John W. Jewett (Study Guide with Student Solutions Manual)
- Exam (elaborations) • 539 pages • 2021
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Exam (elaborations) TEST BANK FOR Serway & Jewett’s Physics for Scientists and Engineers 9th Edition VOLUME 1 By Raymond A. Serway and John W. Jewett (Study Guide with Student Solutions Manual) 
Student Solutions Manual and Study Guide 
Prepared by 
Vahe Peroomian 
University of California at Los Angeles 
John R Gordon 
Emeritus, James Madison University 
Raymond A. Serway 
Emeritus, James Madison University 
John W. Jewett 
Emeritus, California State Polytechnic University, Pomona 
Australia...
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