Coordinate system Questions and Answers

Point A will be transformed using the rule x y x y 8 If point A has the coordinates 4 5 fill in the coordinates for point A A G 11 PI

3 a To obtain the graph of g x 2 1 we start with the graph of f x 2 and shift it upward downward 1 unit b To obtain the graph of h x 2 we start with the graph of f x 2 and shift it to the left right 1 unit

The image point of A after a translation left 1 unit and up 4 units is the point B 4 0 Determine the coordinates of the pre image point A

Severely obese persons BMI 2 40 have a greatly increased risk of diabetes heart disease and many other ailments that are very expensive to treat The table gives the percent of Americans are severely obese from the year 1990 and projected to 2030 1990 2000 2010 2015 2020 2025 2030 Year Severely Obese 0 8 2 2 4 9 6 4 7 9 9 5 11 1 a Find an exponential function that models the data with x equal to the number of years after 1990 and y equal to the percent Round your numerical values to three decimal places y b Does the unrounded model overestimate or underestimate the percent of severely obese Americans in 2020 The model overestimates the projected total The model underestimates the projected total c According to the unrounded model in what year are 8 1 of Americans expected to be severely obese

or questions 9 15 give each answer as a fraction in simplest form Natalie randomly answered the last three true or false questions on her math quiz What is the probability that she got at least two correct 10 Two dice are rolled What is the probability that the sum on the two dice is less than 6

This is a 2 page document 1 Point X is randomly placed on AE below Find each probability C 12 a P X is on DE A 8 d P X is not on AB 4 B 0 4 8 1 12 b P X is on BC e P X is not on BD 16 20 D 24 E 28 32 c P X is on AD f P X is on AB or CD Draw line segments for questions 2 and 3 to represent the problem Then solve 2 Jill is running laps on path around a circular lake It takes her 18 minutes to compete a single lap Her friend Gina s house is along the lake If Gina steps outside to watch for Jill what is the probability that she will wait at least 5 minutes before Jill passes her house

Match each angle with an equivalent angle in Polar Form 5 3 Choose 5 5 Choose 5 4 Choose

Which of the following represents a polar coordinate Select one is the angle measured from the x axis moving counterclockwise O a 0 r Where r is the distance from the origin and O b r Where r is the distance from the origin and is the angle measured from the x axis moving counterclockwise O c 0 r Where r is is the sum of the x and y rectangular coordinates and is the angle from the x axis in a clockwise direction O d r Where r is is the sum of the x and y rectangular coordinates and is the angle from the x axis in a clockwise direction

Find the perimeter on the regular polygon in exact form A 6 P 7 A D elt 5 2 CH B C SL d LLA XH S 2

What is the correct ordered pair location of the fourth vertex of the rhombus O A 0 1 O B 2 1 O C 1 1 O D 1 2 A C B X

An exterior angle of an equilateral triangle measures 2x 90 What is the value of x O A 60 O B 30 O C 15 O D 45

The floor plan for a modern home is modeled by the tesselation shown OB 150 O c 165 J What is the measure of JKL O A 175 D 160 K L

What is the measure of each exterior angle in a 15 sided regular polygon O A 156 OB 45 O c 24 OD 30

DIRECTIONS Select all the correct answers below Two of the interior angles of a triangle are 50 and 75 Which of the following could be a measure of an exterior angle of the triangle A 130 B 105 O c 125 D 115

a E 21 cm 9m 3 7 cm 4m E b G Q 18 cm 16 1 cm E F 10 cm m 13 4 cm M

In the rectangle below AE 4x 8 BE 5x 5 and m2 EBA 63 Find AC and mL ECB A D E B C AC mL ECB 0 X 5

must be true Note that each figure is drawn like a rectangle but you should not rely on the way the figure is drawn in determining your answers If necessary you may learn what the markings on a figure indicate P R Quadrilateral Parallelogram Rectangle Q S V X Quadrilateral Parallelogram Rectangle W Y B A Quadrilateral Parallelogram Rectangle D

Find the perimeter of the pentagon Enter as a decimal round the hundredths place 10 F G H 10 16 5 10 J 10

Find the coordinates of point R on QS such that the ratio of QR to RS is 1 1 Q 5 6 S 5 4 Show your work here

x Which statement is true about all parallelograms 4x A B The interior angles are all congruent D The diagonals are perpendicular to each other C All four sides are congruent Two pairs of opposite sides are congruent

Find the coordinates of point I on GI such that the ratio of GH to GI is 1 3 G 2 9 I 12 6

Quadrilateral VWXY is a rhombus and mZWXZ 11a 49 What is the value of a X a W N 30 Y V

KM and NP are parallel lines K N O L ZPOL and ZKLO M Q Which angles are supplementary angles ZPOL and ZNOL P ZPOL and ZML POL and NOO

Is parallelogram QRST a rhombus T ves no Q S 57 R

Look at this diagram 3 G H I D E C F If DF and GI are parallel lines and m FEH 111 what is m D

Quadrilateral QRST is a square What is mZPQR Q R S P T

Is parallelogram PQRS a square Q R 94 T S P

If EI 7x 79 and GI 2x 1 find the value of x that makes quadrilateral EFGH a parallelogram G H I F E

6 Bonus Find the dimension of the space spanned by the following vectors Show all work PIATR 4 3

ter appearajatly com student app courses 117679 ncy Testing Edit Template Jeo Edit Template eometry Sem1 5 Match the steps for constructing a congruent line s 1 Step 3 Without changing the compass se

11 The probability of winning a coupon at e grocery store checkout is 2 25 What is the probability of not winning 13 A group of students were asked if they play a sport or play an instrument The results are shown in the Venn diagram below If one of these students is chosen at random find each probability a P instrument b P does not play a sport 18 50 Instrument 10 14 Sport 8 18 12 A number from 1 30 is chosen at random What is the probability that the number is not a prime number 22 50 c P both instrument and a sport 8 50 d P sport but not an instrument 18 50 14 Out of 75 students 45 are taking Algebra 2 and 32 are taking Chemistry Sixteen students are taking both Algebra 2 and Chemistry If a student is chosen at random what is the probability that the student is taking Algebra but not Ch

Sadat Nazhat 2 Use the graph to answer the follow V W T What is the length to the nearest

b 3C Create a quadratic function expressed in Factored Form Use the process you described in part to find the vertex of your function

ssignment 8 Problem 1 evious Problem Problem List Next Problem point Match each of the trigonometric expressions below with the equivalent In each blank tan arcsin x 7 cos arcsin x 7 1 2 sin 2 arcsin x 7 sin arctan x 7 cos arctan x 7

10 a 2C Suppose you know the two x intercepts r 0 and s 0 of a quadratic function Explain how you can use these to find the x coordinate and y coordinate of the vertex b 3C Create a quadratic function expressed in Factored Form Use the process you described in part to find the vertex of your function

Find the mean height of these famous Quarterbacks o Carson Palmer 6 5 o Matt Ryan 6 4 o Tyrod Taylor 6 1 o Cam Newton 6 5 o Jay Cutler 6 3 o Andy Dalton 6 2 o Robert Griffin III 6 2 o Joe Flacco 6 6 Give the answer in decimals For example 6 2 6 17 Answer

Find the coordinates of the circumcenter of the triangle with the vertices Show all work 3 A 4 12 B 14 6 and C 6 2 U 0 0 V 4 0 W 6 6

center at origin vertex 3 0 and focus 1 0

blume tion 16 of 24 1 point Question Atter 5 6 7 ume of this rectangular pyramid nclude the correct unit in your answer

A Question 9 1 point Retake Which of the following poi x 1 y 4 0 1 1 0

Question 9 1 point Saved Which of the following points x 1 y 4 0 1 1 0 40

OITTL Write the equation o O x 3 x 3

Page 1 Page 2 2 Page 3 3 4 Find the radius of circle x y 9x 2y x 6y 59 10 Question 14 1 point Saved What is the standard circle equatio 2 x y 8x 6y 39

Question 3 1 point Saved The equation of a circle in general form i x y y 6x 2y 6 What is the equati x 3 y 1 16 O x 3 2 y 1 2 256 x 3 y 1 256

Question 10 1 poin Which of the follow x 5 y

Quadrilateral CDEF has vertices at C 1 6 D 8 5 E 3 8 and F 4 5 Is CDEF a trapezoid Justify your answer Yes CD is parallel to EF Yes CF is parallel to DE No CF is not parallel to DE No none of the sides are parallel

Solve for 0 if 8sin0 4 43 4 and 0 0 2 List your answers as exact answers in terms of separated by a comma if necessary

An observer stands atop a building 25 meters above the ground and the angle of depression to a car on the ground has a measure of 27 About how far is the car from the building An answer to this question is required OA 49 07 B 12 74 OC 28 06 D 55 07

Identify the similar triangles and justify the reasoning A 80 319 B D 31 E 69 F C OA AABC AFED by AA OB AABC A FED by SSS C AABC A FED by SAS OD AABC A FED by AAS

12 Determine whether the 2 shape are similar A 14 D 10 10 B 14 21 Q 15 15 21 OA No the side lengths are not all the same OB No the sides are not proportional OC Yes all sides are proportional and angles are congrue