Expressions, Equations, and Functions
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Variable Expressions
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Expressions with One or More Variables
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PEMDAS
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Algebra Expressions with Fraction Bars
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Patterns and Expressions
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Words that Describe Patterns
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Equations that Describe Patterns
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Inequalities that Describe Patterns
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Function Notation
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Domain and Range of a Function
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Functions that Describe Situations
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Functions on a Cartesian Plane
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Vertical Line Test
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Problem-Solving Models
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Trends in Data
Properties of Real Numbers
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Properties of Rational Numbers
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Additive Inverses and Absolute Values
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Addition of Integers
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Addition of Rational Numbers
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Subtraction of Rational Numbers
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Multiplication of Rational Numbers
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Mixed Numbers in Applications
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Expressions and the Distributive Property
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When to Use the Distributive Property
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Division of Rational Numbers
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Applications of Reciprocals
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Square Roots and Irrational Numbers
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Order of Real Numbers
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Guess and Check, Work Backward
Linear Equations
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One-Step Equations and Inverse Operations
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Applications of One-Step Equations
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Two-Step Equations and Properties of Equality
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Multi-Step Equations with Like Terms
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Distributive Property for Multi-Step Equations
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Equations with Variables on Both Sides
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Equations with Ratios and Proportions
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Scale and Indirect Measurement Applications
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Conversion of Decimals, Fractions, and Percent
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Percent Equations
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Percent of Change
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Formulas for Problem Solving
Graphs of Linear Equations and Functions
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Graphs in the Coordinate Plane
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Graphs of Linear Equations
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Horizontal and Vertical Line Graphs
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Applications of Linear Graphs
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Intercepts by Substitution
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Intercepts and the Cover-Up Method
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Slope
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Rates of Change
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Slope-Intercept Form
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Graphs Using Slope-Intercept Form
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Direct Variation
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Applications Using Direct Variation
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Function Notation and Linear Functions
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Graphs of Linear Functions
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Problem Solving with Linear Graphs
Forms of Linear Equations
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Write an Equation Given the Slope and a Point
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Write an Equation Given Two Points
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Write a Function in Slope-Intercept Form
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Linear Equations in Point-Slope Form
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Forms of Linear Equations
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Applications Using Linear Models
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Equations of Parallel Lines
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Equations of Perpendicular Lines
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Families of Lines
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Fitting Lines to Data
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Linear Interpolation and Extrapolation
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Problem Solving with Linear Models
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Dimensional Analysis
Linear Inequalities and Absolute Value
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Inequality Expressions
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Inequalities with Addition and Subtraction
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Inequalities with Multiplication and Division
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Multi-Step Inequalities
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Compound Inequalities
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Applications with Inequalities
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Absolute Value
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Absolute Value Equations
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Graphs of Absolute Value Equations
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Absolute Value Inequalities
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Linear Inequalities in Two Variables
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Theoretical and Experimental Probability
Systems of Equations and Inequalities
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Graphs of Linear Systems
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Systems Using Substitution
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Mixture Problems
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Linear Systems with Addition or Subtraction
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Linear Systems with Multiplication
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Consistent and Inconsistent Linear Systems
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Linear Programming
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Probability and Permutations
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Probability and Combinations
Exponents and Exponential Functions
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Exponential Properties Involving Products
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Exponential Properties Involving Quotients
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Negative Exponents
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Fractional Exponents
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Scientific Notation
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Scientific Notation with a Calculator
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Exponential Growth
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Exponential Decay
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Geometric Sequences and Exponential Functions
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Applications of Exponential Functions
Polynomials and Factoring
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Polynomials in Standard Form
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Addition and Subtraction of Polynomials
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Multiplication of Monomials by Polynomials
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Multiplication of Polynomials by Binomials
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Special Products of Polynomials
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Monomial Factors of Polynomials
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Zero Product Principle
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Factorization of Quadratic Expressions
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Factor Polynomials Using Special Products
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Factoring by Grouping
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Factoring Completely
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Probability of Compound Events
Quadratic Equations and Functions
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Quadratic Functions and Their Graphs
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Vertical Shifts of Quadratic Functions
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Use Graphs to Solve Quadratic Equations
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Use Square Roots to Solve Quadratic Equations
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Completing the Square
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Vertex Form of a Quadratic Equation
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Quadratic Formula
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Comparing Methods for Solving Quadratics
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Solutions Using the Discriminant
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Linear, Exponential, and Quadratic Models
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Applications of Function Models
Radicals and Geometry Connections
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Graphs of Square Root Functions
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Simplification of Radical Expressions
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Addition and Subtraction of Radicals
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Multiplication and Division of Radicals
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Radical Equations
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Pythagorean Theorem and its Converse
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Distance Formula
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Midpoint Formula
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Measures of Central Tendency and Dispersion
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Stem-and-Leaf Plots
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Box-and-Whisker Plots
Rational Equations and Functions
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Inverse Variation Models
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Graphs of Rational Functions
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Division of Polynomials
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Excluded Values for Rational Expressions
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Multiplication of Rational Expressions
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Division of Rational Expressions
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Addition and Subtraction of Rational Expressions
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Rational Equations Using Proportions
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Clearing Denominators in Rational Equations
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Surveys and Samples
Uncategorized Questions
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Question #2518a
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What is the Transposing Method (Shortcut) in solving linear equations?
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Question #ba24e
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Question #652de
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Show that points A(3,-2), B(2,5) and C(-1,1) are vertices of an isosceles triangle?
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ABC is a straight line such that BC=2AB. If the coordinates of A are (1,-5) and the coordinates of B are (6,2),find the coordinates of C?
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Find the coordinates of the point that divides AB in the ratio given (a)A(-1,4),B(3,1) 1:2 internally (b) A(3,5),B(-2,3) 3:2 externally?
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Question #7a3a7
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How to calculate #589 xx 376509 xx 79# by hand?
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How would I convert 140km to miles if the only information I was given in the question is there are 5280 feet in a mile?
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A second parking garage is being built; it will have twice as many parking spaces as the current parking garage. Combined the current and new garages will have 1,293 spaces. How many spaces are in the original garage? in the new garage?
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What is a semi-unit element?
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If #x=2+sqrt(3)# and #y=2-sqrt(3)# then what is #x^2+y^2+xy# ?
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Question #f30d7
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Question #033a1
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What is #15^x / 3^x# in simplest form?
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Alvin paddled for 4 hours with a 6-km/h current to reach a campsite. The return trip against the same current took 10 hours. How do you find the speed of Alvins canoe in still water?
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Question #569fa
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Find the equations of the two lines drown through the point (-2,-1), which are inclined at 45° to the line y-2x=3 ?
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Find the coordinates of C that divides the segment AB in ratio AC/CB=-3/2 ,where A(1,-2) and B(7,4).Find also equation of straight line pass thru C(perpendicular to AB)?
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Find the equation of the straight line with positive gradient and inclined at an angle of 45° to the line 3y-x+1=0 and passing through the point (2,0)?
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How i can factor #8*(a^(6n))+27*(b^(3m))# ?
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Find the equations of the straight lines drawn through the point #(1 ,-2)#, making angle of #45°# with the #x#-axis?
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Is #sqrt(17)# rational or irrational ?
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Find the equations of the lines bisecting the angles between the line y=3x and the line y=x+3. Verify that the bisectors are perpendicular?
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Given that ABCD is a parallelogram.If A(5,r) ,B(-2,3) and C(3,-1),find D?
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Find the equation of the line passes through the point (1,-2) and the point of intersection of the lines 3x-4y=10 and 2y+3x+8=0?
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Show that for all values of m the straight line x(2m-3)+y(3-m)+1-2m=0 pass thru the point of intersection of two fixed lines.for what values of m does the given line bisect the angles between the two fixed lines?
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Find the distance between 2x-3y=4 and 6y=4x+3?
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What is #root(oo)(125)# ?
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What is the cube root of 72?
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What is the formula for the general term #a_n# of the sequence: #-4, 8, -14, 22, -32,...# ?
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What is the formula for the sequence: #-4, 8, -14, 22, -32,...# ?
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How do you simplify #7/root3(2x^2y)#?
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Question #b4b2a
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Show that the circle x² + y² -2x -4y=0 and x² + y² - 8x -12y +48=0 touches externally and find the point of contact?
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Find the equations of the tangents which can be drawn from the point (-3,4) to the circle x² + y² =10. Find also the acute angle between the tangents?
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Question #6dc14
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∀x(P(x) ∧ Q(x)) ↔ ∀xP(x) ∧ ∀xQ(x)
◦ ∀x(P(x) ∨ Q(x)) ↔ ∀xP(x) ∨ ∀xQ(x).
Please help me out with the first statement?
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Question #e87fb
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If #F(x)=(33-x)/(x-1)#, what is #F(9)#?
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Find the angle between the tangents to the circle x² + y² - y -3 =0 at the point where x=1 and find their point of intersection?
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Question #b4117
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If a number is picked at random from the first #100# natural numbers, then what is the probability that it is divisible by #3# ?
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Question #6beba
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If #15-g=23-2g# what is the value of #g#?
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Prove that the circles x² + y² - 2hx - 2ky +c=0 and x² + y² - 2h'x -2k'y+c'=0 cut orthogonally if 2hh'+2kk'=c+c'?
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Find the equation of circle with centre (1,-2),touching the line 4y-3x=5 using x²+y²-2xh-2ky+c as the general formula (answer=25x-50x+100y-131)?
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Find the length of the tangents from the origin to the circle 3x²+3y²+12+8y+8=0. Find also the acute angle between the tangents from the origin to the circle (answer= 2√6/3 ,86°)?
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How do you find square roots?
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Question #bffdf
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How do you show that two circles #x^2+y^2-2hx-2ky+c = 0# and #x'^2+y'^2-2h'x-2k'y+c'=0# intersect at right angles if and only if #2hh'+2kk' = c+c'# ?
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At the points of intersection of circle #x^2+y^2-y-3=0# and #x=1#, two tangents are drawn. What is the point of intersection of the tangents and angle between them?
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Question #75aa3
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Question #38859
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Given points #A=(1,1)# and #B=(2,3)#, how do you find the equation for points #P=(x,y)# such that lines #AP# and #PB# are perpendicular to one another?
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How do you simplify #sqrt162-sqrt98#?
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Question #d0d05
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Question #25b60
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Question #3dcd7
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Question #5671e
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The tangent at p(3,6) on the parabola y²=12x meets the tangent at the vertex at K. Prove that the line through K parallel to the normal at P passes through the focus of the parabola?
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Question #f1612
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Question #b2d55
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How do you factor #x^4-82x^2+81#?
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Question #b4609
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Question #36958
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What is the equation of the tangent and point of contact between #y^2=4ax# and a line parallel to #2x+y=0#?
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Question #72f18
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How do I simplify #(3sqrt3 - 1)^2 / (2sqrt3 - 3)# ?
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Given that #2^(x-3)/8^(2y-3)# = #16^(x-y)# , show that #3x + 2y = 6# ?
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Question #e0ff1
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Question #033cd
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What transformations are applied to #y = 4 - | x + 2 |# ?
(parent function: #f(x) = | x |# )
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How do you graph #y<(3x)/2-3#?
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How do you solve #(3x-1)/2-1/x=0#?
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Question #9692a
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How do you solve #x^2 - x - 2 ≥ 0#?
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How do you get #x_n>|x|/2# from #0<|x_n - x|<|x|/2# ?
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What are the roots of #x^4+2x^2+x-25 = 0# ?
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Question #2be34
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Question #dcd63
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Question #b6933
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What is the slope and intercept for #y=1/4x+5# and how would you graph it?
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How do you solve #4x-30> -3x+12#?
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If dividing #x^4+ax^2+bx^2-2x+5# by #x^2-1# leaves remainder #2x+3#, then what are the values of #a# and #b#?
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Question #f0b60
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Question #53f01
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Question #fb743
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How do you find the set of values for #k# which the line #x+3y=k# intersects the curve #y^2=2x+3# at 2 real and distinct points?
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How do you factor #4x^4+81# ?
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Question #1f871
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When #x^4+ax^3+bx^2-2x+5# is divided by #x^2-1# the remainder is #2x+3#. What are the values of #a# and #b# ?
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Question #09aeb
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1. Four less than half a number is equal to 37 less than twice the number. How to translate the sentence into an equation and solve the equation?
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Question #3e289
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Question #8b765
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Question #0a2a6
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Question #82de7
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Question #7649f