Solving Hyperbola Problems YouTube. Hyperbola Word Problem. Long distance radio navigation for aircraft and ships uses synchronized pulses transmitted by widely separated transmitting stations. These pulses travel at the speed of light (186,000 miles per second). The difference in the times of arrival of these pulses at an aircraft or ship is constant on a hyperbola having the transmitting stations as foci. Assume that two, 26/06/2019В В· Solution of exercise 8. Determine the equation of the hyperbola centered at (0, 0) knowing that one focus is 2 units from one vertex and 50 from the other. Solution of exercise 9. Determine the coordinates of the point(s) of intersection between the line x + y в€’ 1 = 0 and the hyperbola xВІ - 2yВІ= 1. Solution of exercise 10.

### Example on Hyperbolas Mathematics and Statistics

Practice Problems for Ellipses and Hyperbolas game set. Hyperbola Word Problem. Long distance radio navigation for aircraft and ships uses synchronized pulses transmitted by widely separated transmitting stations. These pulses travel at the speed of light (186,000 miles per second). The difference in the times of arrival of these pulses at an aircraft or ship is constant on a hyperbola having the transmitting stations as foci. Assume that two, 26/06/2019В В· Solution of exercise 5. Determine the equation of the parabola with a directrix of y = 0 and a focus at (2, 4). Solution of exercise 6. Determine the point(s) of intersection between the line r в‰Ў x + y в€’ 5 = 0 and the parabola yВІ = 16x. Solution of exercise 7.

DRAW: A Challenging and Diverse Algebra Word Problem Set Shyam Upadhyay University of Illinois at Urbana-Champaign Urbana, IL, USA upadhya3@illinois.edu Ming-Wei Chang Microsoft Research Redmond, WA, USA 14/08/2014В В· This video shows how to solve applied problems that depend on hyperbolas.

real-life problems. For instance, in Exercise 42 on page 761, hyperbolas are used in long distance radio navigation for aircraft and ships. Hyperbolas AP/Wide World Photos 10.4 Definition of Hyperbola A hyperbola is the set of all points in a plane, the difference of whose distances from two distinct fixed points (foci) is a positive constant. See Figure 10.29. x, y Standard Equation of a Example: Sketch the curve represented by the equation: 9x 2 - 4y 2 - 18x + 32 y - 91 = 0. Solution: To understand what this curve might look like, we have to work towards a standard form. This is best accomplished by completing the square in the x terms and in the y terms.

В©V N210 f1 p1P 3Kvukt aW aS5owf2tCwoaOref 6LcL uC 1.q J KAVlYlS pr gi Agqh 1tIs Z Jrie es1e rsvweQdY.6 M HM0a7dXec gw 1ibt DhC wIHn0f8icn0iRtZe 3 WAbl 1g 0eCb Nrxap Z2 7.s Worksheet by Kuta Software LLC Start studying Practice Problems for Ellipses and Hyperbolas game set. Learn vocabulary, terms, and more with flashcards, games, and other study tools.

word problems that involve a point You may use a calculator and round answers to the nearest thousandth. Practice. For #1-#4: Write the equation for the hyperbola in both parametric forms. Equilateral Hyperbola. SEE: Rectangular Hyperbola Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online. Example: Sketch the curve represented by the equation: 9x 2 - 4y 2 - 18x + 32 y - 91 = 0. Solution: To understand what this curve might look like, we have to work towards a standard form. This is best accomplished by completing the square in the x terms and in the y terms.

Throw 2 stones in a pond. The resulting concentric ripples meet in a hyperbola shape. More Forms of the Equation of a Hyperbola. There are a few different formulas for a hyperbola. Considering the hyperbola with centre `(0, 0)`, the equation is either: 1. For a north-south opening hyperbola: `y^2/a^2-x^2/b^2=1` The slopes of the asymptotes are 04/03/2013В В· The word problems in conic sections meant for the application problems in the analytical geometry based on the conic sections like ellipse, parabola, hyperbola, etc..The word problems generally does not give any equations and any portion that does not explain any part which conic sections are present in the concerned problem i.e ellipse, parabola orвЂ¦

Language has become an essential factor in students' performance in solving word problems, especially in the topic that requires multiple representations of terms such as conic sections. Given some features of a hyperbola, find its equation. If you're seeing this message, it means we're having trouble loading external resources on our website.

Example: Sketch the curve represented by the equation: 9x 2 - 4y 2 - 18x + 32 y - 91 = 0. Solution: To understand what this curve might look like, we have to work towards a standard form. This is best accomplished by completing the square in the x terms and in the y terms. Worksheet 6 Conic Sections: Hyperbolas Find the standard form of the equation of the hyperbola. Find the center, vertices, foci, and asymptotes.

### Practice Problems for Ellipses and Hyperbolas game set

Example on Hyperbolas Mathematics and Statistics. The Hyperbola - Tutorial, Problems, Solutions, MCQ Quiz/Worksheet - Introducing the Equation, Eccentricity, Axis, Chords, Tangents, Normals, Problem : Is the following conic a parabola, an ellipse, a circle, or a hyperbola: -3x 2 + xy - 2y 2 + 4 = 0? It is an ellipse or a circle. Problem : Is the following conic a parabola, an ellipse, a circle, or a hyperbola: x = 0? It is a degenerate conic. x = 0 is a line.

### Conic Review Problems Lexington

Parabola Questions and Problems with Detailed Solutions. Given some features of a hyperbola, find its equation. If you're seeing this message, it means we're having trouble loading external resources on our website. https://en.wikipedia.org/wiki/Conic_section I've got two LORAN stations A and B that are 500 miles apart. A and B are also the Foci of a hyperbola. A ship at point P (which lies on the hyperbola branch with A as the focus) receives a nav signal from station A 2640 micro-sec before it receives from B..

26/06/2019В В· Solution of exercise 5. Determine the equation of the parabola with a directrix of y = 0 and a focus at (2, 4). Solution of exercise 6. Determine the point(s) of intersection between the line r в‰Ў x + y в€’ 5 = 0 and the parabola yВІ = 16x. Solution of exercise 7 DRAW: A Challenging and Diverse Algebra Word Problem Set Shyam Upadhyay University of Illinois at Urbana-Champaign Urbana, IL, USA upadhya3@illinois.edu Ming-Wei Chang Microsoft Research Redmond, WA, USA

Quadratic word problems, combining like terms worksheet, solve for ln in a fraction, free algebra graphing linear equations worksheet, 7th grade ballancing chemical equations worksheet. Ordered pair powerpoint, high school permutations and combinations worksheet, vertex of function calculator. The word "hyperbola" derives from the Greek бЅ‘ПЂОµПЃОІОїО»О®, meaning "over-thrown" or "excessive", from which the English term hyperbole also derives. Hyperbolae were discovered by Menaechmus in his investigations of the problem of doubling the cube, but were then called sections of obtuse cones.

Start studying Practice Problems for Ellipses and Hyperbolas game set. Learn vocabulary, terms, and more with flashcards, games, and other study tools. В©V N210 f1 p1P 3Kvukt aW aS5owf2tCwoaOref 6LcL uC 1.q J KAVlYlS pr gi Agqh 1tIs Z Jrie es1e rsvweQdY.6 M HM0a7dXec gw 1ibt DhC wIHn0f8icn0iRtZe 3 WAbl 1g 0eCb Nrxap Z2 7.s Worksheet by Kuta Software LLC

Solve applied problems involving hyperbolas. Section Figure 9.13 Casting hyperbolic shadows Definition of a Hyperbola A hyperbola is the set of points in a plane the difference of whose distances from two fixed points, called foci, is constant. Vertex Vertex x y Transverse axis Focus Center Focus Figure 9.14 The two branches of a hyperbola Figure 9.15 St. MaryвЂ™s Cathedral P-BLTZMC09_873-950 Conic Section Review Problems page 2 5. Consider the parametric equations x=t+ 1 2 tan1 and y=t+ 1 3 sec8. a. Sketch the graph. On your sketch, you should include arrows indicating direction and an вЂ¦

Throw 2 stones in a pond. The resulting concentric ripples meet in a hyperbola shape. More Forms of the Equation of a Hyperbola. There are a few different formulas for a hyperbola. Considering the hyperbola with centre `(0, 0)`, the equation is either: 1. For a north-south opening hyperbola: `y^2/a^2-x^2/b^2=1` The slopes of the asymptotes are Therefore, the solution to the problem ln(4x1)3 - = is x в‰€ 5.271384. Now that we have looked at a couple of examples of solving logarithmic equations containing terms without logarithms, letвЂ™s list the steps for solving logarithmic equations containing terms without logarithms.

Quadratic word problems, combining like terms worksheet, solve for ln in a fraction, free algebra graphing linear equations worksheet, 7th grade ballancing chemical equations worksheet. Ordered pair powerpoint, high school permutations and combinations worksheet, vertex of function calculator. Throw 2 stones in a pond. The resulting concentric ripples meet in a hyperbola shape. More Forms of the Equation of a Hyperbola. There are a few different formulas for a hyperbola. Considering the hyperbola with centre `(0, 0)`, the equation is either: 1. For a north-south opening hyperbola: `y^2/a^2-x^2/b^2=1` The slopes of the asymptotes are

04/03/2013В В· The word problems in conic sections meant for the application problems in the analytical geometry based on the conic sections like ellipse, parabola, hyperbola, etc..The word problems generally does not give any equations and any portion that does not explain any part which conic sections are present in the concerned problem i.e ellipse, parabola orвЂ¦ Throw 2 stones in a pond. The resulting concentric ripples meet in a hyperbola shape. More Forms of the Equation of a Hyperbola. There are a few different formulas for a hyperbola. Considering the hyperbola with centre `(0, 0)`, the equation is either: 1. For a north-south opening hyperbola: `y^2/a^2-x^2/b^2=1` The slopes of the asymptotes are

## Example on Hyperbolas Mathematics and Statistics

6. The Hyperbola intmath.com. The hyperbola opens left and right. Notice it comes in two parts. Different than an ellipse which is a closed figure. Hyperbolas can also open up and down. I am sure you can guess at the equation!! This hyperbola has the form: To get the correct shape of the hyperbola, we need to find the asymptotes of the hyperbola. The asymptotes are lines, 26/06/2019В В· Solution of exercise 5. Determine the equation of the parabola with a directrix of y = 0 and a focus at (2, 4). Solution of exercise 6. Determine the point(s) of intersection between the line r в‰Ў x + y в€’ 5 = 0 and the parabola yВІ = 16x. Solution of exercise 7.

### Worksheet 6 Hyperbolas

The Hyperbola Tutorial Problems Solutions MCQ Quiz. The word "hyperbola" derives from the Greek бЅ‘ПЂОµПЃОІОїО»О®, meaning "over-thrown" or "excessive", from which the English term hyperbole also derives. Hyperbolae were discovered by Menaechmus in his investigations of the problem of doubling the cube, but were then called sections of obtuse cones., 26/06/2019В В· Solution of exercise 8. Determine the equation of the hyperbola centered at (0, 0) knowing that one focus is 2 units from one vertex and 50 from the other. Solution of exercise 9. Determine the coordinates of the point(s) of intersection between the line x + y в€’ 1 = 0 and the hyperbola xВІ - 2yВІ= 1. Solution of exercise 10.

Given some features of a hyperbola, find its equation. If you're seeing this message, it means we're having trouble loading external resources on our website. Page 1 of 2 616 Chapter 10 Quadratic Relations and Conic Sections Graphing an Equation of a Hyperbola Draw the hyperbola given by 4x2Вє9y2=36. SOLUTION First rewrite the equation in standard form. 4x2Вє9y2=36 Write original equation. 4 3 x 6 2 Вє

The hyperbola opens left and right. Notice it comes in two parts. Different than an ellipse which is a closed figure. Hyperbolas can also open up and down. I am sure you can guess at the equation!! This hyperbola has the form: To get the correct shape of the hyperbola, we need to find the asymptotes of the hyperbola. The asymptotes are lines real-life problems. For instance, in Exercise 42 on page 761, hyperbolas are used in long distance radio navigation for aircraft and ships. Hyperbolas AP/Wide World Photos 10.4 Definition of Hyperbola A hyperbola is the set of all points in a plane, the difference of whose distances from two distinct fixed points (foci) is a positive constant. See Figure 10.29. x, y Standard Equation of a

DRAW: A Challenging and Diverse Algebra Word Problem Set Shyam Upadhyay University of Illinois at Urbana-Champaign Urbana, IL, USA upadhya3@illinois.edu Ming-Wei Chang Microsoft Research Redmond, WA, USA Therefore, the solution to the problem ln(4x1)3 - = is x в‰€ 5.271384. Now that we have looked at a couple of examples of solving logarithmic equations containing terms without logarithms, letвЂ™s list the steps for solving logarithmic equations containing terms without logarithms.

11/11/2014В В· How do you write the standard form of a hyperbola? Find the Vertices, foci and Asymptotes then Graph the Hyperbola away from the origin - Duration: 9:31. Mathbyfives 101,448 views 26/06/2019В В· Solution of exercise 8. Determine the equation of the hyperbola centered at (0, 0) knowing that one focus is 2 units from one vertex and 50 from the other. Solution of exercise 9. Determine the coordinates of the point(s) of intersection between the line x + y в€’ 1 = 0 and the hyperbola xВІ - 2yВІ= 1. Solution of exercise 10

DRAW: A Challenging and Diverse Algebra Word Problem Set Shyam Upadhyay University of Illinois at Urbana-Champaign Urbana, IL, USA upadhya3@illinois.edu Ming-Wei Chang Microsoft Research Redmond, WA, USA Conic Section Review Problems page 2 5. Consider the parametric equations x=t+ 1 2 tan1 and y=t+ 1 3 sec8. a. Sketch the graph. On your sketch, you should include arrows indicating direction and an вЂ¦

14/08/2014В В· This video shows how to solve applied problems that depend on hyperbolas. DRAW: A Challenging and Diverse Algebra Word Problem Set Shyam Upadhyay University of Illinois at Urbana-Champaign Urbana, IL, USA upadhya3@illinois.edu Ming-Wei Chang Microsoft Research Redmond, WA, USA

Quadratic word problems, combining like terms worksheet, solve for ln in a fraction, free algebra graphing linear equations worksheet, 7th grade ballancing chemical equations worksheet. Ordered pair powerpoint, high school permutations and combinations worksheet, vertex of function calculator. Hyperbola Word Problem. Long distance radio navigation for aircraft and ships uses synchronized pulses transmitted by widely separated transmitting stations. These pulses travel at the speed of light (186,000 miles per second). The difference in the times of arrival of these pulses at an aircraft or ship is constant on a hyperbola having the transmitting stations as foci. Assume that two

Parabola problems with answers and detailed solutions, at the bottom of the page, are presented.. Questions and Problems. Find the x and y intercepts, the vertex and the axis of symmetry of the parabola with equation y = - x 2 + 2 x + 3?; What are the points of intersection of the line with equation 2x + 3y = 7 and the parabola with equation y = - 2 x 2 + 2 x + 5? Answer & Solution : Hyperbola Problems. Download JEE Advanced Maths Practice Sample Paper's Answer and complete Solution. Our faculty team after a thorough analysis of the last years examination question papers and the latest examination jee advanced format, have framed these questions paper.

Therefore, the solution to the problem ln(4x1)3 - = is x в‰€ 5.271384. Now that we have looked at a couple of examples of solving logarithmic equations containing terms without logarithms, letвЂ™s list the steps for solving logarithmic equations containing terms without logarithms. Math 2 Unit 2.2 Quadratic Word Problems Name: _____ Example 2 ContвЂ™d: Complete each word problem using techniques learned in previous concepts. d.) The equation y = x2 вЂ“12x + 45 models the number of books y sold in a bookstore x days after an award-

Solve applied problems involving hyperbolas. Section Figure 9.13 Casting hyperbolic shadows Definition of a Hyperbola A hyperbola is the set of points in a plane the difference of whose distances from two fixed points, called foci, is constant. Vertex Vertex x y Transverse axis Focus Center Focus Figure 9.14 The two branches of a hyperbola Figure 9.15 St. MaryвЂ™s Cathedral P-BLTZMC09_873-950 Conics вЂ“ Day 4 вЂ“ Word Problems Name _____ Friday, April 26th Parabola and Ellipse Word Problems For each problem, draw a picture on a coordinate plane, clearly showing important points. Then, write an equation and use it to answer each question. SHOW ALL WORK. 1) The main cables of a suspension bridge are 20 meters above the road at the towers and 4 meters above the road at

I've got two LORAN stations A and B that are 500 miles apart. A and B are also the Foci of a hyperbola. A ship at point P (which lies on the hyperbola branch with A as the focus) receives a nav signal from station A 2640 micro-sec before it receives from B. Page 1 of 2 616 Chapter 10 Quadratic Relations and Conic Sections Graphing an Equation of a Hyperbola Draw the hyperbola given by 4x2Вє9y2=36. SOLUTION First rewrite the equation in standard form. 4x2Вє9y2=36 Write original equation. 4 3 x 6 2 Вє

26/06/2019В В· Solution of exercise 5. Determine the equation of the parabola with a directrix of y = 0 and a focus at (2, 4). Solution of exercise 6. Determine the point(s) of intersection between the line r в‰Ў x + y в€’ 5 = 0 and the parabola yВІ = 16x. Solution of exercise 7 Quadratic word problems, combining like terms worksheet, solve for ln in a fraction, free algebra graphing linear equations worksheet, 7th grade ballancing chemical equations worksheet. Ordered pair powerpoint, high school permutations and combinations worksheet, vertex of function calculator.

### Parabola Problems Superprof

Conic Review Problems Lexington. Example: Sketch the curve represented by the equation: 9x 2 - 4y 2 - 18x + 32 y - 91 = 0. Solution: To understand what this curve might look like, we have to work towards a standard form. This is best accomplished by completing the square in the x terms and in the y terms., 26/06/2019В В· Solution of exercise 8. Determine the equation of the hyperbola centered at (0, 0) knowing that one focus is 2 units from one vertex and 50 from the other. Solution of exercise 9. Determine the coordinates of the point(s) of intersection between the line x + y в€’ 1 = 0 and the hyperbola xВІ - 2yВІ= 1. Solution of exercise 10.

SparkNotes Conic Sections Problems. Conic Sections: Level 5 Challenges on Brilliant, the largest community of math and science problem solvers., Conic Section Review Problems page 2 5. Consider the parametric equations x=t+ 1 2 tan1 and y=t+ 1 3 sec8. a. Sketch the graph. On your sketch, you should include arrows indicating direction and an вЂ¦.

### Solving hyperbola equations Solve Algebra problems with

Worksheet Conics Day 4 Word Problems Name Friday April 26. Parabola problems with answers and detailed solutions, at the bottom of the page, are presented.. Questions and Problems. Find the x and y intercepts, the vertex and the axis of symmetry of the parabola with equation y = - x 2 + 2 x + 3?; What are the points of intersection of the line with equation 2x + 3y = 7 and the parabola with equation y = - 2 x 2 + 2 x + 5? https://en.wikipedia.org/wiki/Conic_section 26/06/2019В В· Solution of exercise 8. Determine the equation of the hyperbola centered at (0, 0) knowing that one focus is 2 units from one vertex and 50 from the other. Solution of exercise 9. Determine the coordinates of the point(s) of intersection between the line x + y в€’ 1 = 0 and the hyperbola xВІ - 2yВІ= 1. Solution of exercise 10.

Answer & Solution : Hyperbola Problems. Download JEE Advanced Maths Practice Sample Paper's Answer and complete Solution. Our faculty team after a thorough analysis of the last years examination question papers and the latest examination jee advanced format, have framed these questions paper. Hyperbola Word Problem. Long distance radio navigation for aircraft and ships uses synchronized pulses transmitted by widely separated transmitting stations. These pulses travel at the speed of light (186,000 miles per second). The difference in the times of arrival of these pulses at an aircraft or ship is constant on a hyperbola having the transmitting stations as foci. Assume that two

real-life problems. For instance, in Exercise 42 on page 761, hyperbolas are used in long distance radio navigation for aircraft and ships. Hyperbolas AP/Wide World Photos 10.4 Definition of Hyperbola A hyperbola is the set of all points in a plane, the difference of whose distances from two distinct fixed points (foci) is a positive constant. See Figure 10.29. x, y Standard Equation of a Hyperbola Problems With Solutions And Graph Explore interactive hyperbola graphs to better understand their characteristics. A hyperbola has 2 focus points, shown as points A and B on the graph (these points are fixed for This algebra

an ellipse. A steep cut gives the two pieces of a hyperbola (Figure 3.15d). At the borderline, when the slicing angle matches the cone angle, the plane carves out a parabola. It has one branch like an ellipse, but it opens to infinity like a hyperbola. Throughout mathematics, parabolas are on the border between ellipses and hyperbolas. Worksheet 6 Conic Sections: Hyperbolas Find the standard form of the equation of the hyperbola. Find the center, vertices, foci, and asymptotes.

word problems that involve a point You may use a calculator and round answers to the nearest thousandth. Practice. For #1-#4: Write the equation for the hyperbola in both parametric forms. Equilateral Hyperbola. SEE: Rectangular Hyperbola Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online. Given some features of a hyperbola, find its equation. If you're seeing this message, it means we're having trouble loading external resources on our website.

Conic Sections: Level 5 Challenges on Brilliant, the largest community of math and science problem solvers. Answer & Solution : Hyperbola Problems. Download JEE Advanced Maths Practice Sample Paper's Answer and complete Solution. Our faculty team after a thorough analysis of the last years examination question papers and the latest examination jee advanced format, have framed these questions paper.

word problems that involve a point You may use a calculator and round answers to the nearest thousandth. Practice. For #1-#4: Write the equation for the hyperbola in both parametric forms. Equilateral Hyperbola. SEE: Rectangular Hyperbola Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online. Worksheet 6 Conic Sections: Hyperbolas Find the standard form of the equation of the hyperbola. Find the center, vertices, foci, and asymptotes.

26/06/2019В В· Solution of exercise 5. Determine the equation of the parabola with a directrix of y = 0 and a focus at (2, 4). Solution of exercise 6. Determine the point(s) of intersection between the line r в‰Ў x + y в€’ 5 = 0 and the parabola yВІ = 16x. Solution of exercise 7 Example: Sketch the curve represented by the equation: 9x 2 - 4y 2 - 18x + 32 y - 91 = 0. Solution: To understand what this curve might look like, we have to work towards a standard form. This is best accomplished by completing the square in the x terms and in the y terms.

04/03/2013В В· The word problems in conic sections meant for the application problems in the analytical geometry based on the conic sections like ellipse, parabola, hyperbola, etc..The word problems generally does not give any equations and any portion that does not explain any part which conic sections are present in the concerned problem i.e ellipse, parabola orвЂ¦ Conics вЂ“ Day 4 вЂ“ Word Problems Name _____ Friday, April 26th Parabola and Ellipse Word Problems For each problem, draw a picture on a coordinate plane, clearly showing important points. Then, write an equation and use it to answer each question. SHOW ALL WORK. 1) The main cables of a suspension bridge are 20 meters above the road at the towers and 4 meters above the road at

Hyperbola Problems With Solutions And Graph Explore interactive hyperbola graphs to better understand their characteristics. A hyperbola has 2 focus points, shown as points A and B on the graph (these points are fixed for This algebra word problems that involve a point You may use a calculator and round answers to the nearest thousandth. Practice. For #1-#4: Write the equation for the hyperbola in both parametric forms. Equilateral Hyperbola. SEE: Rectangular Hyperbola Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online.

Example: Sketch the curve represented by the equation: 9x 2 - 4y 2 - 18x + 32 y - 91 = 0. Solution: To understand what this curve might look like, we have to work towards a standard form. This is best accomplished by completing the square in the x terms and in the y terms. Hyperbola Problems With Solutions And Graph Explore interactive hyperbola graphs to better understand their characteristics. A hyperbola has 2 focus points, shown as points A and B on the graph (these points are fixed for This algebra

14/08/2014В В· This video shows how to solve applied problems that depend on hyperbolas. Hyperbola Problems With Solutions And Graph Explore interactive hyperbola graphs to better understand their characteristics. A hyperbola has 2 focus points, shown as points A and B on the graph (these points are fixed for This algebra

Language has become an essential factor in students' performance in solving word problems, especially in the topic that requires multiple representations of terms such as conic sections. Conic Section Review Problems page 2 5. Consider the parametric equations x=t+ 1 2 tan1 and y=t+ 1 3 sec8. a. Sketch the graph. On your sketch, you should include arrows indicating direction and an вЂ¦

14/08/2014В В· This video shows how to solve applied problems that depend on hyperbolas. В©V N210 f1 p1P 3Kvukt aW aS5owf2tCwoaOref 6LcL uC 1.q J KAVlYlS pr gi Agqh 1tIs Z Jrie es1e rsvweQdY.6 M HM0a7dXec gw 1ibt DhC wIHn0f8icn0iRtZe 3 WAbl 1g 0eCb Nrxap Z2 7.s Worksheet by Kuta Software LLC