What is the length of the shortest side of the triangle

Assignment Help Mathematics
Reference no: EM131072413

Math Exam-

1. Which answer BEST describes the solution for x if -3 < x + 4 ≤ 7?

A. x > -7

B. x > -7 and x < 3

C. x ≥ -7 and x ≤ 3

D. x > -7 and x ≤ 3

2. If x equals 9, find the perimeter, P, of the triangle below:

1038_Figure2.png

A. P = 94

B. P = 110

C. P = 388.5

D. P = 756

3. Solve for x: 3(x - 2) = 9

A. -5

B. -4

C. 4

D. 5

4. Which of the following is NOT a valid Triangle Congruence Theorem?

A. SSS

B. ASA

C. SAS

D. SSA

5. Solve.

w - 2(8 - w) = -31

A. -5

B. -3

C. 15

D. 47

6. The lengths of the sides of a triangle are three consecutive odd integers. The perimeter of the triangle is 45 cm. What is the length of the SHORTEST side of the triangle?

A. 13 cm

B. 14 cm

C. 15 cm

D. 21 cm

7. In this diagram where is the line of reflection?

1456_Figure7.png

A. x = 0

B. x = 1

C. y = 2

D. y = 3.5

8. If two lines have the same slope, what can be said about the lines?

A. they are perpendicular

B. they are parallel

C. they will intersect at right angles

D. their slopes equal zero

9. Solve the equation for y: 28 - 4y - 5y = 37

A. 9

B. 1

C. -1

D. -9

10. The vertices of ?ABC are A(-4, 2), B(6, 6), C(2, 7). A translation maps point A to the point A'(6, -3). If B and C are mapped by the same translation, what are the coordinates of B' and C'?

A. B'(-4, 11), C'(-8, -12)

B. B'(8, 5), C'(4, 6)

C. B'(12, 3), C'(8, 4)

D. B'(16, 1), C'(12, 2)

11. In this diagram, what is the BEST description of the transformation shown?

1775_Figure11.png

A. Reflection

B. Rotation

C. Translation

D. Dilation

12. Triangle ABC is reflected over the line y = x to produce triangle A'B'C'.

2140_Figure12.png

What will be the coordinates of A'?

A. (2 , -1)

B. (-2 , -1)

C. (2 , 1)

D. (1 , 2)

13. Suppose ƒ(x) = 3x2 - 2x: Find ƒ(-4).

A. -56

B. -40

C. 40

D. 56

14. Mrs. Jennings wants to take her class on a fieldtrip to the museum. The bus will cost a total of $100 and the museum will charge $2 per student. What is the maximum number of students that Mrs. Jennings can take to the museum without exceeding her budget of $150?

A. 20

B. 25

C. 50

D. 100

15. If ƒ(x) = 4x - 11, what is the value of ƒ(5)?

A. 20x - 55

B. 34

C. 9

D. 4

16. The Gaussian lens formula is 1/u + 1/v = 1/f, where u is the distance from the lens to the object, v is the distance from the lens to the image, and f is the focal length of the lens. Which of these is the equation solved for f?

A. f = 1/u + v

B. f = uv/u + v

C. f =  u + v/uv

D. f = u + v

 17. The principle of conservation of momentum states that m1u1 + m2u2 = m1v1 + m2v2, where m1 and m2 are the masses of two objects colliding, u1 and u2 are the initial velocities of the objects, and v1 and v2 are the final velocities of the objects. Which of these is the equation solved for m1?

A. m1 = m2u2 - m2v2/u1 - v1

B. m1 = m2v2 - m2u2/u1 - v1

C. m1 = m2u2 - m2v2/u1 + v1

D. m1 = m2v2 - m2u2/u1 + v1

18. The inflation rate can be calculated by dividing the difference between the Consumer Price Index of today and the Consumer Price Index of one year ago by the Consumer Price Index of one year ago. Suppose you know the inflation rate and the Consumer Price Index of one year ago. How can you find the Consumer Price Index of today?

A. Multiply the Consumer Price Index of one year ago by the inflation rate.

B. Multiply the Consumer Price Index of one year ago by the difference between the inflation rate and Consumer Price Index of one year ago.

C. Multiply the Consumer Price Index of one year ago by the difference between Consumer Price Index of one year ago and the inflation rate.

D. Multiply the inflation rate by the Consumer Price Index of one year ago and add the Consumer Price Index of one year ago to the product.

19. Twenty babies were born in one week in the maternity ward of a hospital. The weight of each baby to the nearest pound is listed below.

5, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10

Which of the following dot plots represents the distribution of the babies' weights that week?

1238_Figure19.png

20. The distribution of the gas mileage of a fleet of cars is shown in the following chart.

Miles per Gallon

Number of Cars

28

2

29

3

30

8

31

5

32

2

Which box-and-whisker plot corresponds to this distribution?

929_Figure20.png

21. Given the scatterplot below, which of the following functions is the best approximation for the least-squares regression line?

645_Figure21.png

A. y = 9x + 22

B. y = 3.5x + 17

C. y = 1.5x + 15

D. y = 4.5x + 13

22. A circle is defined as

A. a flat surface extending in all directions.

B. all points between and including two given points.

C. a closed plane figure in which all sides are line segments.

D. the set of all points that are a fixed distance from a given point.

23. Perpendicular lines are two distinct coplanar lines that intersect to form what type of angle?

A. acute angle

B. corresponding angle

C. obtuse angle

D. right angle

24. What is the definition of an angle?

A. a part of a line starting at a particular point and extending infinitely in one direction

B. the set of all points that are a fixed distance from a given point

C. all points between and including two given points

D. two rays sharing a common endpoint

25. How many times do parallel lines intersect?

A. 0

B. 1

C. 2

D. 3

26. "Two rays sharing a common endpoint" is the definition of which term?

A. angle

B. chord

C. line segment

D. secant

27. Determine which figure below has been rotated 270° clockwise about the origin.

873_ggg.png

28. William needs to translate ΔLMN by the rule (x, y) → (x - 4, y + 7). Which of the following graphs represents that translation?

308_Figure28.png

29. The number of math homework problems given each night for 18 nights is shown below.

8, 9, 9, 9, 10, 11, 11, 11, 11, 14, 14, 15, 15, 16, 17, 17, 17, 18

Which box plot correctly displays the given data?

1789_Figure29.png

30. A scientist is studying bacteria and records the number of bacteria over time. The scientist determines that the function N(t) = 300(1.30)t models the number of bacteria, N, after t hours.

Which statement correctly interprets this model?

A. The number of bacteria is originally 30 and increases by 300 every hour.

B. The number of bacteria is originally 300 and increases by 30 every hour.

C. The number of bacteria is originally 30 and increases by 300% every hour.

D. The number of bacteria is originally 300 and increases by 30% every hour.

31. A store manager records the price and number of TVs sold in a store. The data is shown in the scatter plot below.

1608_Figure31.png

Which of the following scatter plots shows a line of best fit for these data?

808_Figuree31.png

32.         

1412_Figure32.png

In order to predict future housing needs the population of two towns, Appletown and Callwood, have been monitored and plotted on a graph for the past four years.  The results are shown on the graph above.

If both towns continue to grow at their current rates, which town will have the largest population at year 10 of the study?

A. Appletown because it is increasing linearly.

B. Appletown because it is increasing exponentially.

C. Callwood because it is increasing linearly.

D. Callwood because it is increasing exponentially.

33. A college professor surveyed his class to see how many hours each student studied. The professor used each student's grade with how many hours they studied to create a scatter plot of the data.  He determined that the correlation coefficient was 0.90.

Select the true statement based on the professor's correlation coefficient.

A. There is a weak correlation between the number of hours studied and the student's grade.

B. There is no correlation between the number of hours studied and the student's grade.

C. There is a strong correlation between the number of hours studied and the student's grade.

D. There is a negative correlation between the number of hours studied and the student's grade.

34. A triangle with coordinates A(1, 1), B(4, 2), C(3, 5) is translated three units down and five units to the left. What are the coordinates of the new triangle?

A. A'(-2, -4), B'(1, -3), C'(0, 0)

B. A'(-4, -2), B'(-1, -1), C'(-2, 2)

C. A'(-4, -2), B'(-7, -3), C'(-6, 0)

D. A'(-4, -2), B'(-1, -3), C'(-2, -6)

35. Which of the following methods correctly shows how to solve the system of equations below?

x + y = -1

2x + y = 5

A. Multiply x + y = -1 by 5 to make an equivalent equation and add the equation 2x + y = 5.

B. Multiply x + y = -1 by -1 to make an equivalent equation and add the equation 2x + y = 5.

C. Multiply 2x + y = 5 by 5 to make an equivalent equation and add the equation x + y = -1.

D. Multiply 2x + y = 5 by -2 to make an equivalent equation and add the equation x + y = -1.

36. What is the solution to the system of equations shown below?

2x + 3y = 6

4x + 6y = 4

37. A right circular cylinder is shown below.

1053_Figure37.png

Which of the following could be a two-dimensional figure that results when a plane intersects this right circular cylinder? Select three that apply.

A. circle

B. ellipse

C. triangle

D. rectangle

Reference no: EM131072413

Questions Cloud

Determine the risks that are unique to thrift operations : Determine the risks that are unique to thrift operations compared to commercial banks. Describe how the thrift should manage each risk identified.
How do we defeat the terrorists : Terrorism takes places in the shadows and in small bloody incidents against an enemy that hits and hides. So how do we defeat the terrorists? Is this just a military question? Or is it more a diplomatic one?
How is buddhism responding to challenges in the modern world : What are common characteristics Buddhism shares with others religions (Voodo, Hinduism, Confucianism)? How is Buddhism responding to challenges in the modern world? What has changed about the roles of women in Buddhism over time?
Choice using the simulation model developed : Management will purchase one more tool of any of the six tool types if that will help shorten makespan. Which tool should be purchased? Evaluate your choice using the simulation model developed in this chapter.
What is the length of the shortest side of the triangle : The lengths of the sides of a triangle are three consecutive odd integers. The perimeter of the triangle is 45 cm. What is the length of the SHORTEST side of the triangle
How and why was this court created : Do you agree with its purpose and the secrecy of its work? How does the work of this court relate to the constitutional protections against unreasonable searches and seizures?
How does artist anita kunz make new york businessman appear : How does the artist (Anita Kunz) make the New York businessman appear Egyptian on the New Yorker magazine cover on the left? What visual details (aspects of style) seem Egyptian to you?
Develop and test heuristics that embellish the operation : Develop and test heuristics that embellish the operation clustering based assignment given in the previous problem. For example, allow the least utilized machine to be a second priority for the most utilized machine if feasible.
Discuss political factors affecting the educational system : Explore the principles of case law and legislation related to individual rights of teachers and students and school responsibilities. Critique the potential legal liabilities for schools, education personnel, and school districts.

Reviews

Write a Review

Mathematics Questions & Answers

  Questions on ferris wheel

Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.

  Logistic map

This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.

  Finding the probability of cards

This assignment has questions related to probabiltiy.

  Systems of ode

Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.

  Derive the boolean expression

Derive the Boolean Expression and construct the switching circuit for the truth table stated

  System of equations

Evaluate which equations are under-identified, just-identified, and over-identified.

  Linear programming problem

Linear programming problem consisting of only two constraints with one objective function.

  Find the natural domain

Find the natural domain of the given functions.

  Introduction to numerical methods

Compute the coecients of the polynomials using the term recurrence relation.

  Chart of the topological manifold

De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.

  Mathematics in computing

Questions related on mathematics in computing.

  Complex problems

Complex problems

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd