Quadratic formula Study guides, Class notes & Summaries
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![Honors Geometry Semester B Question and answers 100% correct 2023/2024](/docpics/3738790/65417080c8c1f_3738790_121_171.jpeg)
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Honors Geometry Semester B Question and answers 100% correct 2023/2024
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Honors Geometry Semester B Question and answers 100% correct 2023/2024golden ratio - correct answer a ratio of about 8 to 5, or 1.618; the exact ratio is (1+sqrt5)/2 
 
golden rectangle - correct answer a rectangle with a length-to-width ratio equal to the golden ratio 
 
ratio - correct answer A comparison of two values 
 
quadratic formula - correct answer x = -b ± √(b² - 4ac)/2a 
 
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GRE Quantitative Reasoning Prep 228 Questions with Verified Answers,100% CORRECT
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GRE Quantitative Reasoning Prep 228 Questions with Verified Answers 
 
Even + even = - CORRECT ANSWER even 
 
Even - even = - CORRECT ANSWER even 
 
Even + odd = - CORRECT ANSWER odd 
 
Even - odd = - CORRECT ANSWER odd 
 
Odd + odd = - CORRECT ANSWER even 
 
Odd - odd = - CORRECT ANSWER even 
 
Odd × odd = - CORRECT ANSWER odd 
 
Even × odd = - CORRECT ANSWER even 
 
Even × even = - CORRECT ANSWER even 
 
Least common multiple - CORRECT ANSWER the least positive integer that is a multiple of...
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ACT Math Practice and Test 2 Exam 103 Questions with Verified Answers,100% CORRECT
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ACT Math Practice and Test 2 Exam 103 Questions with Verified Answers 
 
Distance Formula - CORRECT ANSWER d=√(x₁-x₂)² + (y₁-y₂)² 
 
Slope - CORRECT ANSWER M=y₂-y₁/x₁-x₂ 
 
Slope Intercept - CORRECT ANSWER y=mx+b 
 
Midpoint Formula - CORRECT ANSWER (x₁+x₂)/2, (y₁+y₂)/2 
 
PEDMAS - CORRECT ANSWER order of operations 
Parenthesis, Exponents, Multiplication, Division, Add, Subtract. 
 
Quadratic Equation - CORRECT ANSWER ax²+bx+c= 0 
 
Quadratic Formula - CORRECT ANSWE...
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TTP GMAT QUANT QUESTIONS AND ANSWERS
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Adding Fractions w/Different Denominators - Answer-(a/b) + (c/d) = (ad + bc)/bd 
 
Subtracting Fractions w/Different Denominators - Answer-(a/b) - (c/d) = (ad - bc)/bd 
 
Comparing Fraction Size: Bowtie Method - Answer-(a/b) > (c/d) if ad > bc 
 
Properties of a Number Between 0 and 1 - Answer-x^2 < x < √x 
 
3 Common Quadratic Identities - Answer- 
 
Difference of Squares - Answer- 
 
Even/Odd Rules - Answer- 
 
Prime Numbers Less than 100 - Answer-2, 3, 5, 7, 11, 13, 17, 19, 23, ...
![Math 100 final correctly answered rated A+](/docpics/5117284/662c011709b2e_5117284_121_171.jpeg)
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Math 100 final correctly answered rated A+
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![CSU MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024](/docpics/5460028/6655996cb8422_5460028_121_171.jpeg)
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CSU MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024
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CSU MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024 
slope-intercept form 
y = mx + b 
 
 
slope formula 
m = (y₂- y₁) / (x₂- x₁) 
 
 
point slope form 
y - y₁ = m(x - x₁) 
 
 
standard form 
Ax + By = C 
 
 
distance formula 
d = √[( x₂ - x₁)² + (y₂ - y₁)²] 
 
 
equation of a circle 
(x - h)² + (y - k)² = r² 
where (h,k) is the center and r is the radius 
 
 
absolute value piece wise function 
|x| = { x if x >or= 0 
{ -x if x < 0 
 
 
FOIL 
First, Outer, ...
![Math 100 - Test 2 questions with correct answers 2024](/docpics/5117420/662c044c499b1_5117420_121_171.jpeg)
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Math 100 - Test 2 questions with correct answers 2024
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Math 100 - Test 2 
Volume of a sphere - correct answer 4/3πr³ 
 
Surface area of a sphere - correct answer 4πr² 
 
Quadratic formula - correct answer 
 
Values of trig functions at multiples of pi/4 - correct answer Signs in quadrants: 
All: All trig functions are positive in quad 1 
Students: Sin is positive in quad 2 
Take: Tan is positive in quad 3 
Calculus: Cos is positive in quad 4 
 
Signs on cusps (0 deg, 90 deg, 180 deg, 270 deg) 
- Draw the unit circle with just the two axis an...
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ALEKS (100% Correct)
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Quadratic Formula correct answers -b±[√b²-4ac]/2a 
 
Slope correct answers (y₂-y₁)/(x₂-x₁) 
 
Slope-Intercept correct answers y=mx+b 
 
a³-b³ correct answers (a-b)(a²+ab+b²) 
 
a³+b³ correct answers (a+b)(a²-ab+b²) 
 
a²-b² correct answers (a-b)(a+b) 
 
a²-2ab+b² correct answers (a-b)² 
 
a²+2ab+b² correct answers (a+b)² 
 
(a+b)(c+d) correct answers ac+ad+bc+bd 
 
a(b+c) correct answers ab+ac 
 
sine ratio correct answers opposite ÷ hypotenuse 
 
cosine ratio correc...
![Precalculus UPDATED Exam Questions and CORRECT Answers](/docpics/5162267/663241f7d8b3f_5162267_121_171.jpeg)
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Precalculus UPDATED Exam Questions and CORRECT Answers
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Rational Number -any number that is a real number that can be written ass a 
terminating or repeating decimal 
Irrational Number -real number that cannot be written as a terminating or repeating 
decimal (square root of 5) 
Quadratic Formula -b±[√b²-4ac]/2a 
Factoring Cubes a^3+b^3=(a+b) (a^2-ab+b^2) 
-if it is A^3-B^3 then change to (a-b)(a^2+ab+b^2) 
Discriminant -for quadratic expression, the discriminant is b^2-4ac 
-determines tht nature of the roots when the quadratic equation=0...
![CSU MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024](/docpics/5403288/664e2d8bd4b5c_5403288_121_171.jpeg)
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CSU MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024
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CSU MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024 
slope-intercept form 
y = mx + b 
 
 
slope formula 
m = (y₂- y₁) / (x₂- x₁) 
 
 
point slope form 
y - y₁ = m(x - x₁) 
 
 
standard form 
Ax + By = C 
 
 
distance formula 
d = √[( x₂ - x₁)² + (y₂ - y₁)²] 
 
 
equation of a circle 
(x - h)² + (y - k)² = r² 
where (h,k) is the center and r is the radius 
 
 
absolute value piece wise function 
|x| = { x if x >or= 0 
{ -x if x < 0 
 
 
FOIL 
First, Outer, ...
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