Coordinate system Questions and Answers

Find the equation of the parabola with a focus at 2 1 and a directrix of y 3 7 points

ollowing function y 1 cotx 4 2 Step 2 of 2 Determine how the general shape of the graph chosen in the previous step would be shifted stretched and reflected for the given function Graph the results on the axes provided Answer 3 Points x Axis Reflection O Reflect graph across x axis Shift Graph Vertically O Down O Up Shift Graph Horizontally Phase Shift O Left O Right O None O None Stretch Compress Graph Vertically O Yes O No Stretch Compress Graph Horizontally Period 3I 27 T 2 I Keypad Keyboard Shortcuts Enable Zoom Pan 2 X 3TT

Suppose h x is a linear function and the points points 2 4 and 5 13 lie on the graph of h x Complete the following tasks 1 Calculate the slope of the function using the two points provided 2 Substitute either of the points and the slope into slope intercept form and solve for b 3 Write the slope intercept form of the function

Exercise 7 3 2 Find the direction and length of each principal axis of the hyperbola given by the equation below and sketch its graph 7x 48x1x2 7x3 25

lete the information on the unit 63 tartos mont wan Th 33 k 511 G TE 77 le 16pts 27t 312 3 5 57t 44T 51 dongtag wens glad of wolad mergan 23 TE 0 1 311 0 1 ME SACEN T 5TE 72 7 TU This alt 11m 2 T 1 0 3 sjo aroddi arize

A function is defined by f x 3x where x 0 Find f x Select one O a 3 x 1 O b O d 3x x 1

The function f x 3 demonstrates Simplify the following log 2 x 8 log2x4 Select one O a log2x linear degression linear growth exponential decay quadratic increase exponential growth logarithmic growth

What is the volume of the square pyramid cm Round to the nearest tenth as needed C

1 A rectangular prism fish tank is filled with 677 cm of water and has some colorful pebbles at the If the base of the tank has an area of 40cm and the height of the tank is 20 cm determine the volume of the pebbles in the tank a 123 cm b 1477 cm c 800 cm 3 to allo smulov se snimned 25

To find the area of parallelogram RSTU Juan starts by drawing a rectangle around it Each vertex of parallelogram RSTU is on a side of the rectangle he draws U 3 3 2 1 w 4 T S X Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU O 2 18 4 18 4 O 18 4 O 18 4

Consider the plane that contains the three points p 2 3 8 q 6 8 4 r 9 4 3 using p as your reference point write the equation of the plane in the form ax by cz d and state the value of d

Type the inverse of the matrix Use decimals If no inverse exists type none 1 32 5 5

BC bi ects LABD B a x 3x 3 C Note Figure not necessarily drawn to scale 5x 1 D Enter a list of integer or decimal numbers more degrees b LABC d LABD c ZCBD degrees degrees

If log34 1 2619 evaluate log30 25 Give your answer to four decimal places Enter

The points C 2 8 D 7 6 E 5 1 and F 0 3 form quadrilateral CDEF Plot the points then click the Graph Quadrilateral button Click on the graph to plot a point Click a point to delete it 10 9 8 7 6 slope of CD slope of DE D slope of EF slope of FC E 5 4 3 C 2 1 10 9 8 7 6 5 1 9 10 F 1 2 3 Find the desired slopes and lengths then fill in the words that BEST identifies the type of quadrilateral 4 5 6 length of CD length of DE length of EF length of FC 7 8 9 10 Quadrilateral CDEF can BEST be described as Submit Answer

Write the polynomial as a product of linear factors x 3x 25x 75 x 3 x 5i x i Ente

How many vertices and edges does this shape have

Enter the letter for the function graphed below a y x 5 b y x 5 c y 5 x d y x 5 e y x 5

Mr Adams had 24 guests at his house for a party Each guest brought one item One third of the guests brought drinks One fourth of the guests brought a dessert 10 The rest of the guests brought chips How many guests brought chips

A map of Jane s town with her house and workplace is shown Workplace Home Key 1 block Jane wants to determine the shortest route from her house to her workplace She walks only on the sidewalks indicated by dotted lines on the map What is the distance of the shortest route to the nearest whole block

A point is chosen at random from within the circumcircle of a triangle with angles 45 75 60 What is the probability that the point is closer to the vertex with an angle of 450 than either of the two other vertices Sol 3 8

5 BO BD is a radius and BA is tangent to circle O Find the value of x

A translation is applied to triangle PQR to create triangle P Q R 10 8 6 L a Select O 20 10 8 a 2 L 8 10 Q D 2 4 6 Let the statement x y a b describe the translation Create equations for a in terms of x and for b in terms of y that could be used to describe the translation 8 10

The two polygons below are similar W U 10 Complete the similarity statement D A TUVW What is the similarity ratio of the first polygon to the second polygon o cimilarity ratio and write it as a proper fraction improper fraction or wh

Parallelogram ABCD is shown Point E is the midpoint of segment AB Point F midpoint of segment CD 8 4 y 8 4 0 4 8 E 4 F 8 Which transformations carries the parallelogram onto itself a rotation of 180 degrees clockwise about the center of the parallelogram a reflection across line segment EF O a rotation of 180 degrees clockwise about the origin

Which diagram shows only the first step of constructing the line perpendicular to through point P B A A P X B B D A B t t P B

16 Use tangent to find the height of the tree 36 O 52 0 feet 36 0 feet 46 9 feet O 32 7 feet 45 ft h

12 Volume Find the volume of the prism 13in O 13in O 20in 36in 1in 1in

Ex TT What is the area of the following regular polygon M 1042 m

5 6 7 8 7 8 9 7 8 9 10 6 7 8 9 10 11 7 8 9 10 11 12 2 3 4 5 3 4 4 6 5 5 6 6 7 Suppose you roll two dice and add the sum What is the probability the sum P sum 7 Write your answer as a fraction

Abby asked several kids how many hours of TV they watch each day She also recorded their age The table shows the data she col Hours of Television by Age Hours Watched Age 6 7 9 10 12 Hours of TV Which scatter plot represents the data in the table SAM Hours of TV h md 3 2 3 4 2 8 9 10 11 12 Age 7 8 9 10 11 12 Age Hours of TV NWAY Hours of TV 6 8 9 10 11 12 Age 7 8 9 10 11 12 Age

Given LM tangent to OC at point L which is an expression to represent mJK K C O L M OA 360 a b O B 360 2 a b OC 360 2a b D 360 2a b

Suzanne is designing a garden for the Gateway Botanical Center She used a scale of 1 600 to make the drawing belov 15 cm What is the actual area of the garden in square meters 1m 100 cm O 126 m O 450 m O 882 m 5 cm O 1 125 m 2 700 m2

13 Hexagon side length 6 Congruent arcs with radius 3 are drawn with the center at each of the vertices SAY 38 5

18 Find the length of the bolded arc 285 12 cm

A A A ODP 2 81 Ans sin o 22 69 o sin 1 Sin Sin Ju 4 2 0 1963 0 2 926 C Solution sin l A 12 0 sin 2 e 37 1 8 on 82 8 1 2 8 l B 7 1 Find the block side sin fc 14 8 0 2926 OF Square 8 1 avea preasely and oppraimotely equals to 1 Right trangular A ODP pythosoros 8 PD 1 PD l 2 1 2 PD 7 J Can someone explain how to get the Area

Based on the geometry below The Lambertian shading of the point on the plan will be 4 4 4 1 1 1 O66 077 88 Color intensity 20 Light source power 5 4 4 4 0 1 0 0 0 0 1 1 1

12 The owners of a water park want to build a scaled down version of a popular water slide for the children s section of the park The side view of the water slide labeled ABC is shown below 5x 0 5y WATER SLIDES SIDE VIEW 8T W feet c 50 20 80 60 20 WATER SLIDES TOP VIEW A 10 60 A 30 20 2888298 feet C 150 60 Points A B and C shown above are the corresponding points of the scaled down slide Which of the following would be closest to the coordinates of a new point C that will make slide A B C similar to slide ABC a 90 20 b 77 20 d 47 20

AFGJ and AGHI are shown below Which of the following guarantees AFGJ and AHGI are similar triangles FG JG and HG IG 23 21 and FJ GH ZF 23 and ZH ZI ZF ZH and ZFGJ SUGT

Find the value of X b 191 d 91 9 182 C 89 3 Find the value of X 0 5 b 7 5 178 C B 12x 10 7 5

A certain store sells T shirts in 4 colors The number of T shirts sold in each color last month is shown in the bar graph below Use this bar graph to answe questions Number of T shirts Sold 12 10 8 6 gray tan Color black a Which color had the most T shirts sold Ogray O tan O black How many T shirts of that color were sold T shirt s white white b How many more gray T shirts were sold than black T shirts more T shirt s sold c For how many colors were there at least 6 T shirts sold color s

4 10 points If a point is chosen at random in the solid below find the probability that it is in the cone 5 cm 34 8 32 5 37 5 39 2 16 cm 14 cm

In a survey 150 shoppers were asked whether they have access to a computer at home and if they have a personal e mail account Their responses ar summarized in the following table Computer access at home No computer access at home a E Mail account 48 6 a What percentage of the shoppers do not have an e mail account b What percentage of the shoppers have computer access at home X No e mail account 6 90 5

Find the volume of the cube shown below in cubic feet Your answer may be exact or rounded to the nearest hundredth 2 8 ft label required

Find the Volume of the figure A 660 ft B 684 ft C 1980 ft D 2052 ft 7 5 ft 24 ft

1 Coordinate Geometry Question 10 Which of the following equations describes the circle shown here Select one x y 3 16 O x y 3 16 x 3 y 16 O x 3 y 4 2 0 3

1 10 points If point X is randomly placed on JN below find P X is on JK or MN 6 7 20 13 20 3 4 3 10 K L M 4 2 0 2 4 6 8 10 12 N 14

Henry rolled a standard die 60 times and recorded the results below of times 6 Rolled 1 2345 6 6 15 60 1 10 813 11 What is the experimental probability of rolling a 6 7

A group of students was asked if they have at least one sibling and at least one pet The venn diagra below represents the results of this survery Sibling 4 1 3 12 7 12 15 Pet Find P has a sibling and a pet 5 12 9

The Venn diagram below shows the number of students in Mrs Crane s homeroom who were on Honor Roll taking advanced classes or had perfect attendance for the first quarter Honor Roll 4 9 2 5 1 3 2 4 Advanced Classes Perfect Attendance How many students are on Honor Roll OR had perfect attendance