Coordinate system Questions and Answers

Three business partners Shelly Ann Elaine and Shericka share R150 000 profit from an investment as follows Shelly Ann gets R57 000 and Shericka gets twice as much as Elaine How much much money does Elaine receive A R 124 000 BR 101 000 C R 62 000 DR 31000

11T 6 Use the x y coordinates in the figure to find the value of tan or state that the expression is undefined Select the correct choice below and if necessary fill in the answer box to complete your choice O A 11x 6 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize the denominator OB The expression is undefined tan 1 3 2 2 3 1 2 2 3 2 1 0 2 1 2 2 0 1 0 1 T 3 T 166 1 0 1 3 2 2 3 1 2 2 3 2 2 7 2 3 2 X

0 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

What 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

BD OC CD and AB I OD B 36 m COD D m OCD O C

If AB CD find the measures of angles x y z 9 1 C x 140 B D

Given AB II CD AB CD Prove AE CE A D E B

Suppose 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

An 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

Figure 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

Polygon 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

2 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

Find the value of x in the figure P R 7x 5 x 47 Q S

x 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

Given AB find x 112 a A 3x 31 B 2x 11

d 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

1 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

A 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

There are 52 cards in a standard deck If you shuffle the deck how many combinations of 5 cards are there

In 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

5 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

Vanessa 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

Use 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

3 10 pts Find the vertex focus and the directrix of the parabola y 4y 4x 4 0 Graph the equation

Find 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

There 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

If 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

There 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

Solve 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

Identify the cross section of this object below Select one Oa Circle O b Parabola O c O d Hyperbola Oval

Homer 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

There 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

1 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

Solve the equation Check your solutions Enter your answers as a comma separated list x2 5 3 2 27 x Incorrect Your answer is incorrect

Find the area of the parallelogram created by the following x y x 2 3 0 y 1 2 2

Write 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

Z 42 0 Z 02 4 41 420 2 X ty 2 Y X X scalene equilateral 4 isosceles

Determine 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

Is 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

Triangle 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

Solve each system of equations by graphing Identify any inconsistent systems or dependent equations y 3x 1 12x 4y 4

Sketch 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

What 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

Solve the absolute value in equality Graph the solution set and write the solution interval notation 4 5

Find 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

Find 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

Find the measure of the angle indicated 2 Find mZW V W 6x 16 5x 1I 137 U

86 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

Given the point 2 3 2 in the rectangular coordinate system what is the radius of the corresponding polar coordinate

The poin 18 amoa C D E F B 3 in the graph below represents 2 3 2 1 0 1 C 2 D