Precalculus11th EditionMichael Sullivan Publisher: PEARSONISBN: 9780135189405
Precalculus
Solutions for Precalculus
Problem 2AYU:
2. If 3 and 5 are the coordinates of two points on the real number line, the distance between these...Problem 4AYU:
4. Use the converse of the Pythagorean Theorem to show that a triangle whose sides are of lengths...Problem 6AYU:
6. True or False Two triangles are congruent if two angles and the included side of one equals two...Problem 7AYU:
7. If ( x,y ) are the coordinates of a point P in the xy-plane , then x is called the _____ of P and...Problem 9AYU:
9. If three distinct points P , Q and R all lie on a line and if d( P,Q )=d(Q,R) , then Q is called...Problem 12AYU:
12. True or False The midpoint of a line segment is found by averaging the x-coordinates and...Problem 13AYU:
Multiple Choice Which of the following statements is true for a point (x,y) that lies in quadrant...Problem 14AYU:
Multiple Choice Choose the expression that equals the distance between two points (x1,y1) and...Problem 15AYU:
In Problems 15 and 16, plot each point in the xy-plane . Tell in which quadrant or on what...Problem 16AYU:
In Problems 15 and 16, plot each point in the xy-plane . Tell in which quadrant or on what...Problem 17AYU:
17. Plot the points ( 2,0 ),( 2,3 ),( 2,4 ),(2,1) and ( 2,1 ) . Describe the set of all points of...Problem 18AYU:
18. Plot the points ( 0,3 ),( 1,3 ),( 2,3 ),(5,3) and ( 4,3 ) . Describe the set of all points of...Problem 19AYU:
In Problems 35-46, find the distance d( P 1 , P 2 ) between the points P 1 and P 2 . 35.Problem 20AYU:
In Problems 35-46, find the distance d( P 1 , P 2 ) between the points P 1 and P 2 . 36.Problem 21AYU:
In Problems 35-46, find the distance d( P 1 , P 2 ) between the points P 1 and P 2 . 37.Problem 22AYU:
In Problems 35-46, find the distance d( P 1 , P 2 ) between the points P 1 and P 2 . 38.Problem 23AYU:
In Problems 35-46, find the distance d( P 1 , P 2 ) between the points P 1 and P 2 . 39. P 1 =( 3,4...Problem 24AYU:
In Problems 35-46, find the distance d( P 1 , P 2 ) between the points P 1 and P 2 . 40. P 1 =( 1,0...Problem 27AYU:
In Problemfind the distancebetween the pointsand.
;
Problem 28AYU:
In Problems 35-46, find the distance d( P 1 , P 2 ) between the points P 1 and P 2 . 44. P 1 =( 4,3...Problem 29AYU:
In Problemfind the distancebetween the pointsand.
;
Problem 30AYU:
In Problem 1932 find the distance d between the points P1 and P2. P1=(1.2,2.3);P2=(0.3,1.1)Problem 31AYU:
In Problems 35-46, find the distance d( P 1 , P 2 ) between the points P 1 and P 2 . 45. P 1 =( a,b...Problem 32AYU:
In Problems 35-46, find the distance d( P 1 , P 2 ) between the points P 1 and P 2 . 46. P 1 =( a,a...Problem 33AYU:
In Problems 51-56, plot each point and form the triangle ABC . Verify that the triangle is a right...Problem 34AYU:
In Problems 51-56, plot each point and form the triangle ABC . Verify that the triangle is a right...Problem 35AYU:
In Problems 51-56, plot each point and form the triangle ABC . Verify that the triangle is a right...Problem 36AYU:
In Problems 51-56, plot each point and form the triangle ABC . Verify that the triangle is a right...Problem 37AYU:
In Problems 51-56, plot each point and form the triangle ABC . Verify that the triangle is a right...Problem 38AYU:
In Problems 51-56, plot each point and form the triangle ABC . Verify that the triangle is a right...Problem 39AYU:
In Problems 57-64, find the midpoint of the line segment joining the points P 1 and P 2 . 57. P 1 =(...Problem 40AYU:
In Problems 57-64, find the midpoint of the line segment joining the points P 1 and P 2 . 58. P 1 =(...Problem 42AYU:
In Problems 3946 find the midpoint of the line segment joining the points P1 and P2....Problem 43AYU:
In Problems 3946 find the midpoint of the line segment joining the points P1 and P2....Problem 44AYU:
In Problems 57-64, find the midpoint of the line segment joining the points P 1 and P 2 . P 1 =( 4,3...Problem 45AYU:
In Problems 57-64, find the midpoint of the line segment joining the points P 1 and P 2 . P 1 =( a,b...Problem 46AYU:
In Problems 57-64, find the midpoint of the line segment joining the points P 1 and P 2 . P 1 =( a,a...Problem 47AYU:
If the point (2,5) is shifted 3 units to the right and 2 units down, what are its new coordinates?Problem 48AYU:
If the point (1,6) is shifted 2 units to the left and 4 units up, what are its new coordinates?Problem 49AYU:
Find all points having an-coordinate ofwhose distance from the pointis.
By using the Pythagorean...Problem 50AYU:
Find all points having a-coordinate ofwhose distance from the pointis
By using the Pythagorean...Problem 52AYU:
Find all points on the-axis that areunits from the point.
Problem 53AYU:
Suppose thatare the coordinates of a point in the-plane.
Find the coordinates of the point ifis...Problem 54AYU:
Plot the pointsandin the-plane. Ifis the midpoint of a line segment, find the coordinates of.
Problem 56AYU:
The midpoint of the line segment fromtois. If, what is?
Problem 57AYU:
The medians of a triangle are the line segments from each vertex to the midpoint of the opposite...Problem 58AYU:
An equilateral triangle is one in which all three sides are of equal length. If two vertices of an...Problem 59AYU:
In Problems 103-106, find the length of each side of the triangle determined by the three points P 1...Problem 60AYU:
In Problems 103-106, find the length of each side of the triangle determined by the three points P 1...Problem 61AYU:
In Problems 103-106, find the length of each side of the triangle determined by the three points P 1...Problem 62AYU:
In Problems 103-106, find the length of each side of the triangle determined by the three points P 1...Problem 63AYU:
Baseball A major league baseball “diamond� is actually a square, 90 feet on a side (see the...Problem 64AYU:
Little league Baseball The layout of a Little League playing field is a square, 60 feet on a side....Problem 65AYU:
Baseball Refer to Problem 63. Overlay a rectangular coordinate system on a major league baseball...Problem 66AYU:
Little league Baseball Refer to Problem 64. Overlay a rectangular coordinate system on a Little...Problem 67AYU:
Distance between Moving Objects A Ford Focus and a Freightliner Cascadia truck leave an intersection...Problem 68AYU:
Distance of a Moving Object from a Fixed Point A hot-air balloon, headed due east at an average...Problem 69AYU:
Drafting Error When a draftsman draws three lines that are to intersect at one point, the lines may...Problem 70AYU:
Net Sales The figure illustrates the net sales growth of Costco Wholesale Corporation from 2013...Problem 71AYU:
Poverty Threshold Poverty thresholds are determined by the U.S. Census Bureau. A poverty threshold...Problem 72AYU:
Challenge Problem Geometry Verify that the points,, andare the vertices of an equilateral triangle....Problem 73AYU:
Challenge Problem Geometry Find the midpoint of each diagonal of a square with side of length. Draw...Browse All Chapters of This Textbook
Chapter 1 - GraphsChapter 1.1 - The Distance And Midpoint FormulasChapter 1.2 - Graphs Of Equations In Two Variables; Intercepts; SymmetryChapter 1.3 - LinesChapter 1.4 - CirclesChapter 2 - Functions And Their GraphsChapter 2.1 - FunctionsChapter 2.2 - The Graph Of A FunctionChapter 2.3 - Properties Of FunctionsChapter 2.4 - Library Of Functions; Piecewise-defined Functions
Chapter 2.5 - Graphing Techniques: TransformationsChapter 2.6 - Mathematical Models: Building FunctionsChapter 3 - Linear And Quadratic FunctionsChapter 3.1 - Properties Of Linear Functions And Linear ModelsChapter 3.2 - Building Linear Models From DataChapter 3.3 - Quadratic Functions And Their PropertiesChapter 3.4 - Build Quadratic Models From Verbal Descriptions And From DataChapter 3.5 - Inequalities Involving Quadratic FunctionsChapter 4 - Polynomial And Rational FunctionsChapter 4.1 - Polynomial FunctionsChapter 4.2 - Graphing Polynomial Functions; ModelsChapter 4.3 - Properties Of Rational FunctionsChapter 4.4 - The Graph Of A Rational FunctionChapter 4.5 - Polynomial And Rational InequalitiesChapter 4.6 - The Real Zeros Of A Polynomial FunctionChapter 4.7 - Complex Zeros: Fundamental Theorem Of AlgebraChapter 5 - Exponential And Logarithmic FunctionsChapter 5.1 - Composite FunctionsChapter 5.2 - One-to-one Functions; Inverse FunctionsChapter 5.3 - Exponential FunctionsChapter 5.4 - Logarithmic FunctionsChapter 5.5 - Properties Of LogarithmsChapter 5.6 - Logarithmic And Exponential EquationsChapter 5.7 - Financial ModelsChapter 5.8 - Exponential Growth And Decay Models; Newton’s Law; Logistic Growth And Decay ModelsChapter 5.9 - Building Exponential, Logarithmic, And Logistic Models From DataChapter 6 - Trigonometric FunctionsChapter 6.1 - Angles, Arc Length, And Circular MotionChapter 6.2 - Trigonometric Functions: Unit Circle ApproachChapter 6.3 - Properties Of The Trigonometric FunctionsChapter 6.4 - Graphs Of The Sine And Cosine FunctionsChapter 6.5 - Graphs Of The Tangent, Cotangent, Cosecant, And Secant FunctionsChapter 6.6 - Phase Shift; Sinusoidal Curve FittingChapter 7 - Analytic TrigonometryChapter 7.1 - The Inverse Sine, Cosine, And Tangent FunctionsChapter 7.2 - The Inverse Trigonometric Functions (continued)Chapter 7.3 - Trigonometric EquationsChapter 7.4 - Trigonometric IdentitiesChapter 7.5 - Sum And Difference FormulasChapter 7.6 - Double-angle And Half-angle FormulasChapter 7.7 - Product-to-sum And Sum-to-product FormulasChapter 8 - Applications Of Trigonometric FunctionsChapter 8.1 - Right Triangle Trigonometry; ApplicationsChapter 8.2 - The Law Of SinesChapter 8.3 - The Law Of CosinesChapter 8.4 - Area Of A TriangleChapter 8.5 - Simple Harmonic Motion; Damped Motion; Combining WavesChapter 9 - Polar Coordinates; VectorsChapter 9.1 - Polar CoordinatesChapter 9.2 - Polar Equations And GraphsChapter 9.3 - The Complex Plane; De Moivre’s TheoremChapter 9.4 - VectorsChapter 9.5 - The Dot ProductChapter 9.6 - Vectors In SpaceChapter 9.7 - The Cross ProductChapter 10 - Analytic GeometryChapter 10.2 - The ParabolaChapter 10.3 - The EllipseChapter 10.4 - The HyperbolaChapter 10.5 - Rotation Of Axes; General Form Of A ConicChapter 10.6 - Polar Equations Of ConicsChapter 10.7 - Plane Curves And Parametric EquationsChapter 11 - Systems Of Equations And InequalitiesChapter 11.1 - Systems Of Linear Equations: Substitution And EliminationChapter 11.2 - Systems Of Linear Equations: MatricesChapter 11.3 - Systems Of Linear Equations: DeterminantsChapter 11.4 - Matrix AlgebraChapter 11.5 - Partial Fraction DecompositionChapter 11.6 - Systems Of Nonlinear EquationsChapter 11.7 - Systems Of InequalitiesChapter 11.8 - Linear ProgrammingChapter 12 - Sequences; Induction; The Binomial TheoremChapter 12.1 - SequencesChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric Sequences; Geometric SeriesChapter 12.4 - Mathematical InductionChapter 12.5 - The Binomial TheoremChapter 13 - Counting And ProbabilityChapter 13.1 - CountingChapter 13.2 - Permutations And CombinationsChapter 13.3 - ProbabilityChapter 14 - A Preview Of Calculus: The Limit, Derivative, And Integral Of A FunctionChapter 14.1 - Investigating Limits Using Tables And GraphsChapter 14.2 - Algebra Techniques For Finding LimitsChapter 14.3 - One-sided Limits; ContinuityChapter 14.4 - The Tangent Problem; The DerivativeChapter 14.5 - The Area Problem; The IntegralChapter A.1 - Algebra EssentialsChapter A.2 - Geometry EssentialsChapter A.3 - PolynomialsChapter A.4 - Synthetic DivisionChapter A.5 - Rational ExpressionsChapter A.6 - Solving EquationsChapter A.7 - Complex Numbers; Quadratic Equations In The Complex Number SystemChapter A.8 - Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job ApplicationsChapter A.9 - Interval Notation; Solving InequalitiesChapter A.10 - Nth Roots; Rational ExponentsChapter B.1 - The Viewing RectangleChapter B.2 - Using A Graphing Utility To Graph EquationsChapter B.3 - Using A Graphing Utility To Locate Intercepts And Check For SymmetryChapter B.5 - Square Screens
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