Coordinate system Questions and Answers
Geometry
Coordinate system0 3 Find the area of the composite figure below Be sure to label the unit 6 in 9 in 11 in 9 in 11 in
Geometry
Coordinate systemWhat is the area of this figure 6 mm 12 mm 4 mm 5 mm 5 mm 5 mm 5 mm 4 mm t 11 mm 7 mm 5 mm 12 mm
Geometry
Coordinate systemSuppose you borrow 1000 at a 12 annual interest rate compounded monthly 1 each month At the end of each month you make a 100 payment Use this information to complete the table below Round to the nearest cent as needed Month 0 1 2 3 4 51 S Prior Balance 1000 910 819 10 1 Interest on Prior Balance 10 9 10 8 19 Monthly Payment 100 100 100 Ending Balance 1000 910 819 10 727 29
Geometry
Coordinate systemAn angle measures 12 degrees less than three times it s supplement x Find both angles algebraically Check the measure of the smaller angle below Angle smaller larger total Measure Correct X X X
Geometry
Coordinate systemFigure A shows their paths and the locations where they each catch a Pokemon Note The small squares in the grid have side lengths of one yard and areas of 1 square yard Figure A Dolores start Marianne The red vertical line represents the path Dolores walked How far did Dolores walk before she caught a Pokemon yards The blue horizontal line represents the path Marianne walked How far did Marianne walk before she caught a Pokemon yards What is the distance between the spot where Marianne caught a Pokemon and the spot where Dolores caught a Pokemon yards
Geometry
Coordinate systemPolygon ABCD is congruent to Polygon WXYZ Find x and then AB and WX A x D 4x 10 AB WX B C Y Z X 6x 4 Note Always make sure the value of a produces positive lengths W
Geometry
Coordinate system2 Let F R R be given by f x y x ay x y 3ry a Why is f differentiable b Find dF z c Find and interpret dF 2 1 d Find and interpret dF 2 1 3 1
Geometry
Coordinate systemx 8x 12 0 a Write the equation in vertex form by completing the square b What is the vertex axis of symmetry and what direction does it open Explain what each of these parts of the graph are c Use your vertex form to solve the equation What do the solutions represent d Use the quadratic formula to solve the given equation How do your answers compare e Evaluate the two methods used to solve which do you
Geometry
Coordinate systemd the indicated maximum or minimum value of the objective function in the linear programming pr Maximize f 70x 20y subject to the following x 2y 48 x y 30 2x y 50 x 0 y 20
Geometry
Coordinate system1 2 3 18 4 12 15 For problems 4 5 find the indicated segment length Assume that lines or segments which appear to be tangent are tangent 12 16 D
Geometry
Coordinate systemA coin is flipped 8 times and the result is recorded What is the probability of getting exactly 3 heads Find n S and n A Then find the probability by using P A Round to the nearest hundredth n A n S
Geometry
Coordinate systemThere are 52 cards in a standard deck If you shuffle the deck how many combinations of 5 cards are there
Geometry
Coordinate systemIn a standard deck of cards there are 26 different red cards How many possible combinations of 5 red cards are there from those 26 cards Note Below are the 26 different red cards in a standard deck
Geometry
Coordinate system5 10 pts Analyze the equation that is find the center foci and vertices of the ellipse 4x 2 y 2 8x 4y 4 0 Graph the equation
Geometry
Coordinate systemVanessa Samantha Hannah and Jordyn are all part of a 12 member volleyball team Four members of the team are randomly selected to fill the water jug for the day What is the probability that all four of them will be chosen
Geometry
Coordinate systemUse the following formula for problem 8 9 P A n S Total Sample Space of outcomes n A Total Outcomes wanted n A n S There are 52 cards in a standard deck 20 of those cards are Jacks Queens Kings Aces or Tens In the game blackjack these are very valuable cards
Geometry
Coordinate system3 10 pts Find the vertex focus and the directrix of the parabola y 4y 4x 4 0 Graph the equation
Geometry
Coordinate systemFind the quadratic function that is the best fit for f x defined by the table below 2 4 6 8 10 402 1605 3604 6409 10 002 X f x 0 0 O The quadratic function is y Tyne an equation using x as the variable Round to two decimal places as needed
Geometry
Coordinate systemThere are 7 ice cream flavors to choose from What is the probability that a triple scoop chosen at random contains all three of your favorite flavors Be sure to round your answer to the nearest hundredth A B 0 01 0 02 0 03
Geometry
Coordinate systemIf all the letters in the word ENVELOPE are randomly rearranged what is the probability the letters will spell the word ENVELOPE A B C D 3 28 1 720 1 1120 6720 P FRENCH NUMER G 20 SHEMAL
Geometry
Coordinate systemThere are 8 finalist in the 100 meter dash at the Olympic Games At the end of the 100 meter dash 3 medals will be given to the 1st place 2nd place and 3rd place winner Suppose 3 of the 8 finalist are from the United States and that all Finalist are equally likely to win What is the probability that the United States will win no medals in this event
Geometry
Coordinate systemSolve the following equation tan 3x 7 tanx 7 0 O a 4 nt 3 Ob n 3 O c 2 3 O d 7 kim kle 3 O e na 2 n T nx 4 27 n 3 27 7 3 3 na 277 5 nx na na
Geometry
Coordinate systemIdentify the cross section of this object below Select one Oa Circle O b Parabola O c O d Hyperbola Oval
Geometry
Coordinate systemHomer Simpson notices that his shower is covered in a strange green slime His friend Barney tells him that coconut juice will get rid of the green slime Homer decides to check this out by spraying half of the shower with coconut juice He sprays the other half of the shower with water After 3 days of treatment there is no change in the appearance of the green slime on either side of the shower Identify the a Control Group b Independent Variable c Dependent Variable
Geometry
Coordinate systemThere are 9 students entering the school district s science project with all students having an equal chance of winning There are medals for 1st 2nd and 3rd place In how many different ways can the medals be awarded
Geometry
Coordinate system1 2 3 4 6 12 B 2 4 6 8 10 12 C 1 3 5 7 9 11 U 1 2 3 4 5 6 7 8 9 10 11 12 b What is A U C A 1 3 B 2 4 6 8 10 12
Geometry
Coordinate systemSolve the equation Check your solutions Enter your answers as a comma separated list x2 5 3 2 27 x Incorrect Your answer is incorrect
Geometry
Coordinate systemFind the area of the parallelogram created by the following x y x 2 3 0 y 1 2 2
Geometry
Coordinate systemWrite an equation for the function graphed below 5 4 2 1 7 6 5 4 3 2 1 1 2 3 4 5 y I 2 3 4 5 6 7
Geometry
Coordinate systemDetermine whether the parallelogram is a rhombus rectangle square or none Explain Q 1 3 R 3 4 S 5 3 T 3 2 Select one A QRST is a rhombus that is not a square because its diagonals are perpendicular but not congruent B QRST is a rectangle that is not a square because its diagonals are congruent but not perpendicular C QRST is a square because its diagonals are both perpendicular and congruent D QRST is none of these because its diagonals are neither congruent nor perpendicular
Geometry
Coordinate systemIs the following graph a linear function a nonlinear function and or relation 3 0 3 6 9 OA Nonlinear function but not a relation OB Nonlinear function and a relation OC Linear function but not a relation OD linear function and a relation
Geometry
Coordinate systemTriangle KLM is the pre image of A K L M before a transformation K K 2 18 16 14 12 10 8 6 4 2 0 2 4 24 L L 10 12 14 16 18 M M X Part A Timothy said that triangle KLM was dilated by a scale factor of 1 5 centered at the origin Is Timothy correct Explain your answer or show your work by listing the coordinates of the primage and image and showing the scale factor Part B Are the two triangles similar Explain
Geometry
Coordinate systemSolve each system of equations by graphing Identify any inconsistent systems or dependent equations y 3x 1 12x 4y 4
Geometry
Coordinate systemSketch an angle in standard position such that has the least possible positive measure and the point 3 0 is on the terminal side of 8 Then find the values of the six trigonometric functions for the angle Rationalize denominators it applicable Do not use a calculator Choose the correct grach below DA OB C Oc 2
Geometry
Coordinate systemWhat are the possible sets of coordinates of a vector with components 4 8 Select one or more a 10 1 and 6 7 b 7 5 and 15 1 c 5 7 and 8 5 d 6 7 and 4 4
Geometry
Coordinate systemSolve the absolute value in equality Graph the solution set and write the solution interval notation 4 5
Geometry
Coordinate systemFind an equation for the ellipse Graph the equation Center at 3 1 vertex at 9 1 contains the point 3 7 Write the equation Simplify your answer Tyng an equation using y and y as the variables
Geometry
Coordinate systemFind a linear function h given h 9 40 and h 3 20 Then find h 1 h x Type an expression using x as the variable Simplify your answer h 1 Simplify your answer
Geometry
Coordinate system86 5 U Q f 6 the unknown arc K 60 Arcs and TS are congruent Find the measures of arcs UT and TS 154 120 7 Find the value of x R 155 J 6 11x H Find the measure of 22x 1
Geometry
Coordinate systemGiven the point 2 3 2 in the rectangular coordinate system what is the radius of the corresponding polar coordinate
Geometry
Coordinate systemThe poin 18 amoa C D E F B 3 in the graph below represents 2 3 2 1 0 1 C 2 D
Geometry
Coordinate systemGiven the rectangular equation 3x 2y 18 Choose the correct first step s in converting this to polar form Select one or more a 3rcos 2rsin 81 b 3 rcos 2rsin 9 c 3 I d None of these
Geometry
Coordinate systemGiven the line 2x 3y 6 convert it into polar equation form What is the denominator of the polar equation when solved for r 1 30 r 2 x cos sin