Coordinate system Questions and Answers

Regan joined a book club to spend more quality time with her cousin At the first meeting club members recorded how many hours a week they typically read and whether they preferred e readers or paperback books E readers Paperback books About 1 hour per week About 3 hours per week 6 4 6 4 What is the probability that a randomly selected club member prefers e readers or reads about 1 hour per week Simplify any fractions

5 Write the equation of the graph below in polar Polar form

1 Write the equation of the hyperbola centered at the origin with length of the horizontal transverse axis 8 and the curve passes through the point 7 8 2 The equation of the hyperbola that has a center at 9 1 a focus at 4 1 and a vertex at 12 1 is x C A where A B C D y D 1 B

The equation of the hyperbola that has a center at 9 1 a focus at 4 1 and a vertex at 12 1 is x C A where 4 B D y D B 1

Dwayne is making a gift during a pottery class at school He knows how to make 8 different items and there are 8 kinds of clay with which to make it How many different gifts can Dwayne make ich

Ken is buying a new set of DJ equipment Ken can afford one mixer and one turntable and is trying to decide among 3 different mixers and 8 different turntables There are 4 different speaker setups in Ken s price range How many different sets of DJ equipment can Ken buy sets

Use for questions 1 3 There are 9 red markers 5 blue markers 14 yellow markers and 8 green markers in a pencil box A marker is chosen at random replaced then another is chosen Find

2 Delroy s sailboat has two sails that are similar triangles The larger sail has sides of 10 feet 24 feet and 26 feet If the shortest side of the smaller sail measures 6 feet what is the perimeter of the smaller sail

work Que e board of directors of a food company is holding an election t pansion to its corporate headquarters The 18 members of the mpanies Becker B DiMarco D LaChase L and Merende the right

nework The university administration has asked a group of stude arget for improvement over the next year The choices w center The votes are summarized in the preference table

Given Universal Set U 1 3 4 8 12 Subset B 1 3 4 8 12 What is the complement of Set B in Set U O 3 4 12 O 1 3 4 8 12 O 1 3 4 8 12

Given Universal Set U 1 2 3 5 6 7 11 12 Subset B 1 3 5 What is the complement of Set B in Set U 1 3 5 11 O 1 2 3 5 6 7 11 12 1 3 5 O 2 6 7 11 12

Why do we need to shade areas for a common solution g complete sentences and write at least one paragraph

Find the distance between the two points Round your answer to the nearest tenth 10 A 3 0 B 2 0 12 A 3 3 B 3 3 14 A 2 5 3 5 B 4 0 5 16 A 10 5 B 9 14 18 A 3 14 B 3 2 11 A 0 3 B 6 0 13 A 2 6 B 2 1 15 A 11 2 B 3 11 17 A 7 4 B 1 61 19 A 4 1 B 4 1 1

Part B Since PQRS is a parallelogram SQ and PR bisect each other Use the coordinates to verify that SQ and PR bisect each other Enter your justification in the box provided

Tammy is working at a hair salon and building a tool kit There are 4 hair dryers and 2 straighteners to choose from For the curling iron Tammy has 6 options Lastly there are 2 possibilities for the hairbrush How many different kits can Tammy make that use one of each item

Algebra are the following Jasmine s grades Tests 56 72 76 and 88 Quizzes 66 80 71 94 Assignments 75 Final Exam 86 Grading System Tests 40 Quizzes 25 Assignments 10 Final Exam 25 a What is Jasmine s current grade in the class b If she scores 10 points higher on the final exam what would her new average be in the class

Rewriting from Vertex Graphing Form to Standard form Follow the Order of Operations PEMDAS and combine like terms y 2 x 3 1 1 Expand squared binomial 2 Distribute any multiplication 3 Combine like terms Rewriting from Standard Form to Vertex Graphing Form y x 4x 3 1 Add subtract constant away to the side of the with y 2 Complete the square on the side of the with x Be sure to add the c to BOTH sides of 3 Move the c on the side with the y back to the side with the x

QUESTION 7 Write an equivalent equation 5x 9y 5 O r 3 6cos 2sin e 6

Question Completion Status QUESTION 12 Solve the problem Sketch V W 4 2 8 8 4 2 NO 2 4 4 2 V W enge X

QUESTION 2 Write an equivalent e x 2 y 4

Decide whether each of the pairs of angles given be side interior angles corresponding angles or alterna

Given circle L with diameter MLN and RNS and POQ tangent to L at points N and O respectively Name an angle congruent to MON O Submit Answer R M P

6 Nathan drew a circle on a grid w following pairs of coordinates re A B 8 4 and 6 3 4 0 and 0 4 2 3 and 1 1

10 8 6 4 VERTEX drog vertex here ZEROS drag zeros here 10 8 6 2 4 6 y AXIS OF SYMMETRY drag axis of symmetry here X INTERCEPTS 10 drag x int here Y INTERCEPT drag y int here symmetry and inter Some cards will be used be used 3 0 3 0 6 0 0 0 3 0 1 0 1 0 2 0 x 3 x 0 5

Decide whether each of the pairs of angles given below a same side interior angles corresponding angles or altern 21 and 23 22 and 26 24 and 25

A six sided number cube is rolled twice What is the probability that the first roll is an even number and the second roll is a number greater than 4 O H M m 55

Hiro has a stack of cards with one number from the set 1 1 2 2 3 3 3 4 written on each card What is the probability that he pulls out a 3 first and then pulls out a 2 without replacing them 64 56 3 32 3 28

For the following exercises graph the polar equation Identify the name of the shape 3 sin A

7 Given f x x 1 3 for x 1 determine the equation for K f x Graph the function and its inverse on the same axes 8 Given fl 17 62

In Exercises 53 58 find the exact value of each expression given that 5 3 tan u with u in quadrant III and sin v 9 4 53 sin u v 54 sin u v 55 cos u v 56 cos u v 57 tan u v 58 tan u v with v in quadrant II 9 13

2 ALGEBRA I REVIEW Determine the roots of the quadratic x 10x 24 0

mine which of the two acute angles ha C 24 B 0 96

A manufacturer of chocolate chips would 0 05 level that t

verify identity 1 1 sin theta 1 1 sin theta 2 2tan squared theta

48 Which set of numbers could not represent the lengths of the sides of a right triangle A 2 3 4 B 8 15 17 C 1 3 10 D 3 4 5

Find all values and plot them a 1 i b i i c 2 2 d 1 i 3 Solution a Suppose that m n 0 1 2 1 i ei log 1 i gi log 1 i i Arg 1 i z2m log 2 is 4 12mm 2me x 4ilog 2 m n e

In the following exercises given Ln or Rn as indicated express their limits as n o as definite integrals identifying the correct intervals n i 1 64 Ln n 65 R 1 n i 1 n i 1 n n

Convert the rectangular equation to a polar equation x y 100

Section 8 3 Proving a Quadrilateral is a Parallelogram 1 Prove that quadrilatetral ABCD is a parallelogram given A 3 3 B 2 5 C 5 2 and D 0 0 by using the Slope Formula opposite sides parallel

K Find the fractal dir Enlarging any por

2 Sketch the image under the map w Log z of each of the following figures a the right half plane Rez 0 b the half disk z 1 Rez 0 c the unit circle z 1 d the slit annulus e z e z e e e the horizontal line y e f the vertical line x e

2 Sketch each of the following figures and its image under the expo nential map w e Indicate the images of horizontal and vertical lines in your sketch a the vertical strip 0 Rez 1 b the horizontal strip 57 3 Im z 8 3 c the rectangle 0 x 1 0 y n 4 d the disk z 2 e the disk z T f the disk z 3 2

The equation y 2 x 1 3 is the graph of y with what transformations applied Your answer should address each of the following whether it has been shifted left or right and by how many units whether it has been stretched or compressed vertically and by how many units whether it has been reflected over the x axis or not whether it has been shifted up or down and by how many units

Question 2 Given a circle with the equation z 1 y 4 21 which of the following represents the center and radius of the circle A B C D center 1 4 radius 21 center 1 4 radius 21 center 1 4 radius 21 center 1 4 radius 21

Estelle surveyed some students at her school about their favorite classes Of the students surveyed 7 said science was their favorite class while 7 of the students had other favorite classes What is the experimental probability that the next student Estelle talks to will pick science Simplify your answer and write it as a fraction or whole number P science

A party store recorded recent balloon sales 20 17 pink 12 purple 19 orange green blue What is the experimental probability that the next balloon sold will be green Simplify your answer and write it as a fraction or whole number P green

You spin the spinner once 3 2 What is P even or odd Simplify your answer and write it as a fraction or whole num

Rebecca supplies costumes to a number of theater companies and recently lent out a number of different hats turbans berets mortarboards top hats 6 3 3 2 What is the experimental probability that the next hat requested from Rebecca s inventory will be a turban Simplify your answer and write it as a fraction or whole number P turban

3 10 Determine the exact value tan sin 7