Writing Linear Functions Mathematical Practices
You work 37\ hours and earn $352.50. What is your hourly wage?
Answer:$9.4 is your hourly wage.
Explanation:The wagesfor 37.5 hours is 352.501 hour wage = \= $9.4
Question 2.You drive 1244.5 miles and use 47.5 gallons of gasoline. What is your cars gas mileage ?
Answer:My car gas milage is 26.2 miles per gallon.
Explanation:You drive 1244.5 miles and use 47.5 gallons of gasoline.Car gas milage = \ = 26.2
Question 3.You drive 236 miles in 4.6 hours. At the same rate, how long will it take you to drive 450 miles?
Answer:It takes 8.8235 hours to drive 450 miles.
Explanation:You drive 236 miles in 4.6 hours.Speed = \ = 51.3043 miles per hourThe time takes to drive 450 miles = \ = 8.8235
Algebra 2 Chapter 3 Answers
Tyrone started building a model plane at He worked on the plane for 2 hours and 30 minutes. What time did he finish? Algebra 1 Standardized Test Practice their favorite books like this answers to algebra 1 standardized test practice, but end in the works in harmful downloads. Rather than enjoying a good ebook when a mug of coffee in the afternoon, instead they juggled later than some harmful virus inside their computer. These worksheets are written so that you do not have to be a mathematician to help your Chapter 10 Extended Response Test The answer key gives the correct answers to multiple-choice questions and example responses for written-response questions. In addition, the answer key indicates the reading 2. Th e word minus corresponds to which symbol? Th e phrase product corresponds to which symbol? Th e word plus corresponds to which symbol? State the number and type of roots.
Big Ideas Math Algebra 1 Answers Chapter 4 Writing Linear Functions
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Enhance your subject knowledge in the Big Ideas Math Algebra 1 Answers Ch 4 Writing Linear Functions and practice on a regular basis. You will find Questions from Exercises, Practice Tests, Cumulative Assessment, Review Tests, Quiz, etc. in the Big Ideas Math Book Algebra 1 Chapter 4 Writing Linear Functions Answers. All the Solutions in the Writing Linear Functions Big Ideas Math Algebra 1 Answer Key are explained in detail as per the Common Core Curriculum.
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While The Breadth Of Topics May Go Beyond What An Instructor Would Cover The Modular Approach And The Richness Of Content
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Chapter 7 Review Glencoe Geometry Answer Key
O x Slope can be found by finding the ratio of the change in y-values rise to. Answer key. Beginning in September , all arts programs for Grades 1 to 8 will be based on the expectations outlined in this document. Exercise 1 2 e 3 f 4 b 5 d 6 c 7 h 8 a Exercise 2 2 give feedback 3 develop your skills 4 step back 5 set goals 6 motivate 7 achieve 8 improve Exercise 3 2 motivate 3 give them feedback 4 develop my skills 5 set the goals 6. Answer key for practice worksheet. Workbook answer key. Directions: For the problems below, find the slope of the line between each of the two given points. Factoring Practice Key I. Write an equation of a line with the given slope and y-intercept. Check their answers. Circle all of the zero pair counters to show the answer. A skill is the ability to do something well, especially because you have learned how to do it and practiced it. Apply the concept of slope to the solution of problems.
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Constructing Polygons Homework & Practice 94
Review & Refresh
Find the perimeter and area of the figure.Question 1.
we can draw an angle with 4 cm 70 degrees that meets at 120 degrees.
CONSTRUCTING TRIANGLES USING SIDE LENGTHS Draw a triangle with the given side lengths, if possible.Question 18.4 in., 5 in., 10 in.Answer:
10 mm, 30 mm, 50 mmAnswer:
5 cm, 5 cm, 8 cmAnswer:
8 mm, 12 mm, 13 mmAnswer:
Question 22.MODELING REAL LIFECan you construct a triangular case using two pieces of wood that are 12 inches long and one piece of wood that is 25 inches long? Explain.Answer:Yes we can construct a triangle .
Explanation:We can costruct the triangle by using two pieces of wood that are 12 inches long and the one piece of wood is 25 inches.
Question 23.MODELING REAL LIFECan you construct a warning triangle using three pieces of plastic that are each 6 inches long? Explain.Answer:
we can construct the three pieces of plastic by using 3 6 inches long.
Question 24.LOGICYou are constructing a triangle. You draw the first angle, as shown. Your friend says that you must be constructing an acute triangle. Is your friend correct? Explain your reasoning.Answer:Yes my friend is correct.
Explanation:it is a acute angle triangle.
USING ANGLES AND SIDES Determine whether you can construct one, many, or no triangle with the given description. Explain your reasoning.Question 25.a triangle with one angle measure of 60and one side length of 4 centimetersAnswer:
we cannot construct one trinangle with the help of given sidelengths.
Cpm Precalculus Chapter 06 Solutions
A focus on algebra is woven throughout the course. Students investigate equivalent expressions and practice setting up word problems right from the start. In Sections 1. Section 3. Algebraic manipulation is practiced throughout the rest of the course as students work with limits, rates of change, trigonometric expressions, complex numbers, series, conic sections, and area under the curve. Careful consideration was given to the sequencing of the concepts in the course to allow for mastery over time while meeting the content standards of a 4th year course.
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Geometric Shapes And Angles Practice Test
Question 1.Find the radius of a circle with a diameter of 17 inches.Answer:radius of a circle = 8.5 in
Explanation:radius of a circle = radius =radius = 8.5 inFind the circumference and the area of the circle. Use 3.14 or \ for .Question 2.Area of the circle = 3.14 mcircumference of the circle = 6.28 m
Explanation:Area of the circle = x r x rarea = 3.14 x 1 x 1area = 3.14 mcircumference of the circle = 2 x x rc = 2 x 3.14 x 1c = 6.28 m
Area of the circle = 3846.5 sq incircumference of the circle = 219. 8 sq in
Explanation:Area of the circle = x r x rarea = 3.14 x 35 x 35area = 3.14 x 1,225 sq inarea = 3846.5 sq incircumference of the circle = 2 x x rc = 2 x 3.14 x 35c = 6.28 x 35c = 219.8 sq in
Find the perimeter and the area of the figure. Use 3.14 or \ for .Question 4.Area of semicircle = 2.695 sq ftperimeter of semicircle = 4. 74 sq ft
Explanation:area of the semicircle = s . c = s. c = s . c = s. c = 2.695 sq ftperimeter of the semicircle = x rp= 3.14 + 2 x 1.5p = 3.16 x 1.5p = 4. 74 sq ft
Question 5.Area of semicircle = 9.57 sq ftperimeter of semicircle = 12.64 sq ft
Explanation:area of the semicircle = s . c = s. c = s . c = s. c = 9.57 sq ftperimeter of the semicircle = x rp= 3.14 + 2 x 4p = 3.16 x 4
Draw a figure with the given description, if possible.Question 6.a triangle with sides of length 5 inches and 6 inches that meet at a 50° angle.Answer:
a triangle with side lengths of 3 inches, 4 inches, and 5 inchesAnswer:
x = 67 degrees.
Writing Equations In Point
Vocabulary and Core Concept Check
Question 1.USING STRUCTUREWithout simplifying, identify the slope of the line given by the equation y 5 = -2. Then identify one point on the line.Answer:
Question 2.WRITINGExplain how you can use the slope formula to write an equation of the line that passes through and has a slope of 4.
Answer:The equation of a line passes through a point and having slope m is = m = 4y = 4x 14
Monitoring Progress and Modeling with Mathematics
In Exercises 310, write an equation in point-slope form of the line that passes through the given point and has the given slope.
The equation is y = \x \
Explanation:Rewrite f = 10 as , f = -2 as m = \ = \ = my + 2 = \y = \x \ 2y = \x \
In Exercises 2730, tell whether the data in the table can be modeled by a linear equation. Explain. If possible, write a linear equation that represents y as a function of x.
Answer:Because the y values increase at a constant rate, the data can be modeled by a linear equation. A linear model is y = -3x + 7
Explanation:\ = -3, \ = -3\ = -3\ = -3y 16 = -3
Answer:Because the y values are not changing at a constant rate, the data cannot be modeled by a linear equation.
Explanation:\ = -3\ = \\ = \Because the y values are not changing at a constant rate, the data cannot be modeled by a linear equation.
Answer:m = \ = \y 2 = \
Question 35.Describe two ways to graph the equation y 1 = \.Answer:
Answer:f = \x \
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Writing Equations Of Parallel And Perpendicular Lines 43 Exercises
Vocabulary and Core Concept Check
Question 1.Two distinct nonvertical lines that have the same slope are ____.Answer:
Question 2.VOCABULARYTwo lines are perpendicular. The slope of one line is \. What is the slope of the other line? Justify your answer.
Answer:The slope of the perpendicular line is \
Monitoring Progress and Modeling with Mathematics
In Exercises 38, determine which of the lines, if any, are parallel. Explain.
Line a slope = \ = 3Line b slope = \ = 2Line c slope = \ = \No lines are parallel. Because they have different slopes.
Question 7.Line a: 4y + x = 8Line b: 2y + x = 4Line c: 2y = -3x + 6Answer:
Line a: 3y x = 6Line b: 3y = x + 18Line c: 3y 2x = 9
Answer:Lines a, b are parallel. Because they have the same slope.
Explanation:Line a slope = \Line b slope = \Line c slope = \Lines a, b are parallel. Because they have the same slope.
In Exercises 912, write an equation of the line that passes through the given point and is parallel to the given line.
Question 9. y = 2x + 2Answer:
y = -5x + 4
Answer:The equation of line is y = -5x + 7
Explanation:The slope of the line is -5 as it is parallel to y = -5x + 4y 2 = -5
Red and blue lines are parallel as they have the same slope.
Explanation:Green line slope = \ = \Red line slope = \ = \Blue line slope = \ = \Red and blue lines are parallel as they have the same slope.
Question 15.Line a passes through and .Line b passes through and .Line c passes through and .Answer:
y = \x + 6
Lesson 41 Writing Equations In Slope
Given the graph of a linear function, how can you write an equation of the line?
EXPLORATION 1Writing Equations in Slope-Intercept FormWork with a partner.
- Find the slope and y-intercept of each line.
- Write an equation of each line in slope-intercept form.
- Use a graphing calculator to verify your equation.
EXPLORATION 2Mathematical ModelingWork with a partner. The graph shows the cost of a smartphone plan.a. What is the y-intercept of the line? Interpret the y-intercept in the context of the problem.b. Approximate the slope of the line. Interpret the slope in the context of the problem.c. Write an equation that represents the cost as a function of data usage.
Communicate Your Answer
Question 3.Given the graph of a linear function, how can you write an equation of the line?
Question 4.Give an example of a graph of a linear function that is different from those above. Then use the graph to write an equation of the line.
Write an equation of the line with the given slope and y-intercept.
The slope intercept form of a line is y = mx + by = 7x + 2
slope = \ y-intercept = -1
Answer:y = \x 1
Explanation:The slope intercept form of a line is y = mx + by = \x 1
Write an equation of the line in slope-intercept form.
y = \x + 1
Explanation:Slope m = \ = \Because the line crosses the y-axis at the y-intercept is 1So, the equation is y = \x + 1
y = \x 1
Answer:The equation is y = 3x 2
Answer:g = \x + 9
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Areas Of Circles Homework & Practice 92
Review & Refresh
Find the circumference of the object. Use 3.14 or \ for .Question 1.
area of circle = 1.76625sq ft
Explanation:The area of circle = r x ra = 3.14 x 0.75 x 0.75 where r = 0.75a = 1.76625 square ft
Question 13.YOU BE THE TEACHERYour friend finds the area of a circle with a diameter of 7 meters. Is your friend correct? Explain.
Answer:No, my friend is not correct.
Explanation:The area of circle = r x ra = 3.14 x 3.5 x 3.5 where r = 0.75a = 38.465 square metersQuestion 14.MODELING REAL LIFEThe diameter of a flour tortilla is 12 inches. What is the total area of two tortillas?
Answer:The area of tortilla = 226.08 sq inches
Explanation:The area of tortilla = r x ra = 3.14 x 6 x 6 where r = 6a = 113.04 square inchesfor 2 tortilla = 226.08 sq inches
Question 15.MODELING REAL LIFEThe diameter of a coaster is 7 centimeters. What is the total area of five coasters?
Answer:The total area of coaster = 192.325 cm
Explanation:The area of tortilla = r x ra = 3.14 x 3.5 x 3.5 where r = 3.5a = 38.465 square cmfor 5 tortilla = 192.325 centimeters
Question 16.The HillsboroInlet Lighthouse lights up how much more area than the Jupiter Inlet Lighthouse?
Answer:The HillsboroInlet Lighthouse lights are 2 times greater than the Jupiter Inlet Lighthouse.
Explanation:Hillsboro inlet Lighthouse = 3.14 x 28 x 28area = 2,461.76 sq mijupiter inlet Lighthouse = 3.14 x 18 x 18area = 1,017.36 sq mi
FINDING THE AREA OF A SEMICIRCLE Find the area of the semicircle.Question 17.
Course 1 Chapter 9 Represent Geometry With Algebra Answer Key
Course 1 Chapter 9 Represent Geometry With Algebra Answer Key. Any side of a parallelogram. Cpm is developing an intervention course for students who are taking core connections, course 3, but need additional support in mathematics with a concurrent math class.
With a team of extremely dedicated and quality lecturers, lesson 9.1 practice b geometry answers will not only be a place to share knowledge but also to help students get inspired to explore and discover many creative ideas from themselves. Lesson 9.1 practice b geometry answers provides a comprehensive and comprehensive pathway for students to see progress after the end of each module. Chapter 5 test, form 2a score. Chapter 4 multiplying and dividing decimals. Get free lesson 9 2 practice algebra 1 answers publisher.
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Lesson 43 Writing Equations Of Parallel And Perpendicular Lines
Essential EquationHow can you recognize lines that are parallel or perpendicular?
EXPLORATION 1Recognizing Parallel LinesWork with a partner. Write each linear equation in slope-intercept form. Then use a graphing calculator to graph the three equations in the same square viewing window. Which two lines appear parallel? How can you tell?
EXPLORATION 2Recognizing Perpendicular LinesWork with a partner. Write each linear equation in slope-intercept form. Then use a graphing calculator to graph the three equations in the same square viewing window. Which two lines appear perpendicular? How can you tell?
Communicate Your Answer
How can you recognize lines that are parallel or perpendicular?
Answer:If the slopes of two lines are equal, then they are parallel lines.If the slope of one line is the negative reciprocal of the second line, then the lines are perpendicular.
Question 4.Compare the slopes of the lines in Exploration 1. How can you use slope to determine whether two lines are parallel? Explain your reasoning.
Answer:Slopes are \, \The slopes are not equal.So, the lines are not parallel.
Question 5.Compare the slopes of the lines in Exploration 2. How can you use slope to determine whether two lines are perpendicular? Explain your reasoning.
Answer:Slopes are \, \the slopes are not negative reciprocals.So, the lines are not perpendicular.
Question 1.Line a passes through and . Line b passes through and . Are the lines parallel? Explain.