Coordinate system Questions and Answers

3 In the figure c d What are the measures of 21 and 22 1 2 4 3 5 75 8 7

4 SAT Question Equivalent Expressions Which of the following is equivalent to 3x4 3 a 3 x 1 b 3 x 1 c 3 x 1 x 1 d 3 x 1 x 1 x 1

Express your answer to the nearest tenth of a foot Enter your answer in the box 42 8 Part D A In the future Luke has plans to construct a circular storage bin centered at coordinates 50 40 on the plan Which of the listed measurements could be the diameter of a bin that will fit on the plot and be at least 2 feet away from the warehouse Select all that apply 10 feet B D 15 feet 18 feet 22 feet feet 25 feet U139 30 20 0 UT 11 20 2 U121 400 U521 and or 42 8

Jestion 1 point Retake question K P If mON 23 degrees and m LPM 45 degrees Find mLM Your Answer

14 Find the value of x 135 3x 31 4x 15 6x 8 5x 4 x644 7x 64 120

4 Find the area of the irregular shape Round to the nearest tenth 1 point 8 cm 5 cm O90 2 cm 241 cm 65 1 cm 072 3 cm

8 int s 1 1 In order for RECT to be a rectangle what must the value of x be X HIDE HINT THIS IS A RECTANGLE NOT A SQUARE R K 2x 6 42 H C

4 Using the graph below with the following points find the length of the two diagonals to determine if TUVW is a rectangle or not Your answers must be to the nearest tenth or it will be considered wrong T 5 0 U 7 3 V 9 6 W 3 9 10 V W 01 8 6 10 18 Is the figure a rectangle X 10 V Length of diagonal TV to the nearest tenth Length of diagonal UW to the nearest tenth is units units

n the blank If a quadrilateral is a parallelogram then opposite If a quadrilateral is a parallelogram then If a quadrilateral is a parallelogram then consecutive supplementary If a quadrilateral is a parallelogram then opposite sides are If a quadrilateral is a parallelogram then diagonal are parallel angles are congruent are each other Sides Diagonal Congruent Opposite Bisect Consecutive

1 Using the graph of the function f x in the diagram below a b C 17 16 15 14 134 12 11 10 9 84 7 6 worth 8 points Draw the secant line over the interval 0 6 Approximate the slope of the secant line Draw what appears to be a tangent line at x 8 Approximate the slope of the tangent line Write an equation of the tangent line at x 8 2 1 4 10

Find a PQ to the nearest tenth and b the coordinates of the midpoint of PQ P 3 2 Q 5 1 a PQ 3 6 Round to the nearest tenth as needed b The coordinates of the midpoint of PQ are Type an ordered pair

Find the area of the shaded figure A Imm Type an exact answer in terms of OF 40 mm 140

Determine if the relation is a function and justify your answer Then identify all key features of the graph Figure 1 2 3 M 4 3 NWA 2 4 2 3 4 Function Or Not a function Domain Range Y Intercept Relative Min Relative Max Absolute Min Absolute Max Continuous or Discrete

Find the measures of angles x y and z in the figure mln X O x 50 y

03 06 MC Use AABC below to answer the question that follows B E C Which fact is not used to prove that ABC is similar to DBE The sum of angles A and B are supplementary to angle C Segments AC and DE are parallel AB is a transversal line passing AC and DE Angle B is congruent to itself due to the reflexive property

For each transformation in the table below indicate which properties are always true by placing a check mark in every appropriate box Transformation Translation Reflection Rotation The Image and prelmage are congruent The Image and preimage are similar but not congruent 00 Lengths of segments are preserved Measures of angles are preserved

7 The Image of ABAT in the graph shown below is rotated 90 counterclockwise around the origin to form AB A T 7 Answer 65 6 5 10 34 3 2 T 241 01 3 1 3 in 61 y 5 6 B What is the y coordinate of the point B A 5 6 7 8 x

Use a coterminal angle to find the exact value of the expression Do not use a calculator cot 405 The coterminal angle is Type your answer in degrees Use angle measures greater than or equal to 0 and less than 360

Solve for the following given the triangle below B X 60 X A 6 3 type your answer y type your answer y 30 C

uppose to take the first three pieces of your ollercoaster and model them as closely as you can with a angle polynomial Function Answer the following questions you were three peices with a think this function will be Justify b Determine an equation for this function 5 IF you represent you si single function what degree Engineering a Rollercoaster MX M Gmail YouTube Maps Alexander Save Student Academic Support V desmos com calculator e9xa9venku 24 X N 25 x 17 320508 2 75 0 x 25 12 x 40 40 25 916 x 48 945 X x 55 54 48 945 x 66 32 x 75 2 20 66 32 x 82 092 x 87 28 82 096 x 99 96 X x 110 7 99 962 x 120 15 x 123 2 14 120 15 x 130 1 X x 140 2 10 130 159 x 151 8 X X X X 40 LiveChat 20 y axis height m 100 80 60 40 20 40 0 20 Examples desmos 20 40 60

1 Consider three sets E 1 2 3 F 1 3 4 and G 2 3 4 5 Two elements are chosen at random without replacement from the set E and let S denote the set of these chose elements Let E E S an F F US Now two elements are chosen at random without replacement from the set F and let S denote the set of these chosen elements Let G F U S Finally two elements are chosen at random without replacement from the set G and 1 S3 denote the set of these chosen elements Let E3 E U S3 Given that E E3 let p be the conditional probability of the event S 1 2 Then th value of p is 09 1 5 A B 35 1 1 2 D 2 5

K Based on a poll among adults who regret getting tattoos 27 say that they were too young when they got their tattoos Assume that nine adults who regret getting tattoos are randomly sele and find the indicated probability Complete parts a through d below a Find the probability that none of the selected adults say that they were too young to get tattoos 0 0589 Round to four decimal places as needed b Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos 0 1960 Round to four decimal places as needed c Find the probability that the number of selected adults saying they were too young is 0 or 1 Round to four decimal places as needed

e 158 B61 CLIC D122 it issalue of x that AJKLEAJML by AAS K Q 18 3x 47 Support the conclusion m A 15 D35 CC5 D85

What are the Next 3 Numbers 210 195 180 165 A 160 145 125 155 140 120 C150 135 120 D150 130 120 If Divisible by 16 then Iivisible 18 by A 18 336 C24 D54

6 Kimi wants to determine the radius of a circular pool without getting wet She is located at point K which is 4 feet from the pool and 12 feet from the point of tangency as shown in the accompanying diagram What is the radius of the pool a 16 ft b 20 ft c 32 ft d 4 10 ft K 4 ft 12 ft

onsider the function f x 4x 10x 8 tep 1 of 2 Find the vertex of the parabola defined by the given function Write the exact answer as an ordered pair Do not round mswer 2 Points

Find the axis of symmetry and vertex for the parabola y Provide your answer below x 2x 3

Probability of choosing a number less than 7 or an od number

Solve the logarithmic equation algebraically logg 4x 7 logg 3 log6 9 Enter the correct number in the box to complete your ar Show Hints X

Find an equation of the parabola with axis parallel to the y axis passing through the points 0 7 1 5 and 2 9 The equation of the required parabola is Simplify your answer Type an equation Use integers or fractions for any numbers in the equation Type your answer in standard form

Find the exact value of cos O a b c d COS cos 2 2 3T 4 COS 2 1 4 COS 1 2 2 3 05 1 1 2 1 2 COS 4

With a set up fee of 55 the total cost in dollars C to provide food for an event with p people is given by the function C p 16p 55 When the set up fee increases by 30 the new total cost in dollars T is given by the function T p C p 30 What is the description of the transformation from the graph of T to the graph of C Select the words or number that correctly complete the sentence The graph of T is a Horizontal translation Enter Value left V units from the graph of C

BC Round decimal a 28 m B 64 c 1 a ab

ege Homepage 1 2 8 7 6 Content 3 Question 14 of 14 1 point Attempt 1 of Unlimited 4 5 Write parametric equations on a restricted interval for f to Top branch of a hyperbola

14 1 point Attempt 1 of Unlimited nd y 3t 1 for 2 t 2 View

Find the center vertices foci and eccentricity of the ellipse x 2y 4x 12y 42 0 Center x y Vertices smaller x value x y larger x value Foci x y smaller x value x y larger x value x y

1 Hosted by ALEKS Corp 12 2 3 4 8 1 Polar Coordinat 5 6 7 8 17 of 23 1 point Attempt 1 of Unlimited View qu he polar equation to rectangular form and id 3 4

Draw the image of AABC under a dilation whose center is P and scale factor is 3 7 6 5 4 3 A C N 6 1 P 5 4 32 p y 3 P 4 5 6 17 41 62 3 4 5 6 7 B r

7 Identify the center and radius of the circle x 4 y 2 25

Identify the center and radius of each Then sketch the graph 86 42 Ay 6 4 6 41 21 q 61 4 y 2 x 2 y 3 4 y Center 2 3 Radius 4 16 8 x Center 1 3 Radius 4 6 8 x Center 2 3 Radius 2 2 4 6 8 x Center 1 3 Radius 1 6 8 x

Write the equation for the graph shown 0 5 10 8 6 4 2 Oy 2 x 5 Oy 2 x 5 Oy 2 x 5 10 8 6 2 2 4 9 6 8 2 10 4 1 for 4 6

2 Consider the function g x 0 5 log x 8 12 Part A Which statement describes the transformation of the parent function f x log x to the given function A stretch by a factor of 0 5 translation 8 units to the left and 12 units down B compression by a factor of 0 5 translation 8 units to the right and 12 units up stretch by a factor of 0 5 translation 8 units to the right and 12 units up D compression by a factor of 0 5 translation 8 units to the left and 12 units down a b Part B What is the asymptote of the function g x

3 Which of the following is the solution to the equation 12e z 200 50 3 A In B In D ln 25 3 50 3 100 3

5 Rewrite the equation in exponential form log b c A b c B C b a Dat b

5 The equation 34 81 rewritten in logarithmic form would be A log4 3 81 Blogg1 3 4 log4 81 3 log 81 4

Compound propositions s t and u are made of two atomic propositions p and q The truth table is given below What conclusion s can you make from this truth table about s t and u Write your answer in the space below Tip Consider the type of propositions tautology contradiction contingency whether they are logically equivalent or not as well as any other relation q u S F 201 F F p T T F LL T F T T F F T F F

3 Given the following sign chart of the 1st derivative f x of y f x with f x 0 at x a b c d and e Draw a graph of y f x over the sign chart Label the points on your graph y f x corresponding to x a b c d and e f x 6

Draw the image of PQ after a translation by v 3 5 followed by a reflection in the line x 2

Move the slider h so that the graph of y 2 gets shifted horizontally 3 units Then type the new function f x in the answer box w N T 6 5 4 3 2 Don t forget to shift the graph horizontally Using function notation i e fix 2 2 f x 2 2 3 6 h 2 00 O 5

Consider the following x 4xy 2y 10 Use a graphing utility to graph the conic Determine the angle 0 s 8 s 90 through which the axes are rotated in degrees R your answer to two decimal places