Coordinate system Questions and Answers

Grade Results My Activities Question 5 Points 1 If the point A 6 9 is translated 4 units left then find the new coordinates of the point A O A 2 5 O A 2 9 O A 2 9 Tell me what you want t O A 2 5

Determine the conic equation of the hyperbola with the given vertices 9 0 and 3 0 and asymptotes y 2x 12 and y 2x 12

Look at QCX andA Q C X shown in the graph below 1014 10 9 7 Q Which statement can be used to prove thatA QCX AQ C X MAS SER A Q C X is obtained by reflecting QCX over the y axis and then dilating it about the origin by a scale factor of A 5 B C X D AQ C X is obtained by reflecting A QCX over the x axis and then dilating it about the origin by a scale factor of AQ C X is obtained by reflecting QCX over the x axis and then dilating it about the origin by a 5 scale factor of 2 AQ C X is obtained by reflecting QCX over the y axis and then dilating it about the origin by a 5 scale factor of

to find the height of an olive tree for a science project Jack is2 gmeters tall He stands 9 meters away from the tree and his shadow is 6 meters long SUN g m Which proportion is correct A B 62 x 2 5 I T 2 5 m 2 5 6m C D ola 65 15 11 cila 2 5 2 5 X

3 Use the figure to answer the following question A B D If ACIDE which of the following justifies AABC ADBE E D C Definition of Similar Triangles SAS Similarity Theorem C SSS Similarity Theorem AA Similarity Postulate

Name the three labeled segments that are parallel to DH E G C B H OA GC GH BF OB EG BF GC OC AE BF GC D BD AE BF

Write an equation of the circle with the given center and radius 5 9 5 OA x 5 2 y 9 5 OB x 9 2 y 5 2 25 OC x 9 2 y 5 25 OD x 5 2 y 9 2 5

Find the volume of the prism 3 4n OA 118 in 3 OB 42 in OC 88 6 in OD 85 in 3 5 in

The trapezoids below are similar Find the area of the smaller trapezoid if the area of the larger trapezoid is 45 cm 6 OA 30cm B 25cm2 0915cm D 20cm2 9

Question 4 4 9v SUBMIT BOOKMARK X a inches G A pizza with a diameter of 12 inches is cut into 8 slices Write your answers in terms of pi as needed inches in 101 What is the circumference of the pizza What is the area of the pizza inf What would the central angle for 3 slices be if it was in degrees degrees What would the central angle for 3 slices be if it was in radians Write your answer as a fraction in terms of pi What would the arc length of 3 slices be What would the sector area of 3 slices be radian

YOU DO ROUND 1 1 Determine the volume of the figure below to the nearest tenth 5

2 Determine the vertical and horizontal cross sections of the figure below then name it using the best name Vertical cross section Horizontal cross section

How can she draw the largest possible circle on the wood Fill in the blanks to correctly explain the steps she needs to take She is looking to draw the biggest circle inside the triangle She can do this by first constructing they meet is called the should then construct a of the triangle The point where That point will be the center of the circle To find the circle s radius she of the triangle of the circle segment from that point to one of the sides of the triangle The length of that segment is the distance from the center point to the side and that length will be the

Line BC is tangent to the circle A angle c a B degrees b What is the value of c if the value of a is 42 degrees C POSSIBLE POINTS 3 3

APQR is inscribed in a circle with mZP 40 mZQ 60 and m R 80 What are the measures of PQ QR and PR 22682 11 11 PR

Determine whether the equation represents y as a function of x x y2 49

7 Solve the rational equation remember for solving you want to get rid fractions 7 points 2 x 4 4 X 4 12 x 16

Formula Bank X2 Midpoint x x y 2 2 Distance x x Y Name of Property being verified Slope m Y2 Y X2 X Work to support the property

Find the value of x to the nearest tenth 14 X Answer 18

Find the value of x 12 Answer 01

The circles below are congruent Which conclusion can you draw B R Select one O a BD RT O b ZCED ZSUT O c ZAEBZQUR O d CD ST

4 Cathy threw a plastic toy in the pool for her puppy But there is a problem the puppy does not like putting his face in water If the weight of the toy is more than 350 grams it will sink The density and volume of the toy is respectively 0 453 g ml 673 45 ml Will the toy sink or float

3 The surface areas of two similar figures are 96 in and 216 in The volume of the larger is 216 in Find the volume of the smaller figure

4 The plane region is revolved completely about the y axis to sweep out a solid of revolution The solid formed is a cone Find the volume of the cone Show your work AY 10

2 An artist creates a right prism whose bases are regular pentagons He wants to paint the lateral surfaces of the prism One can of paint can cover 30 square feet How many cans of paint must he buy if the height of the prism is 15 ft and the length of each side of the pentagon is 5 ft Show your work

7 Prove that the quadrilateral whose vertices are the points A 1 1 B 3 4 C 1 5 and D 3 2 is a parallelogram X

According to the Empirical Rule from the mean and of the data is 10 away from the mean and of the data is 30 from the mean of the data is 20 away

101 9 8 7 6 5 4 3 2 1 F 1 2 3 DC 4 5 6 7 8 9 10 A rectangular table is positioned in a 10 foot by 10 foot room as shown How long is the longer edge of the table Square root of feet What is the area of the tabletop square feet

4 y 3 x 1 2 5 y x 1 2 x 1 2 x 1 a y a 6 y 4 x 1 2 nck 1 2 4 2 K 1 4 2 3 x 1 2 4 2 x 1 13cv How are they the same How are they different Create two additional equations with the same vertex as the equations above Venter

Find the vertex of the following quadratic equations and compare 4 y 3 x 1 2 5 y x 1 2 1 x 1 y 2 x 1 aCy 2 Vertex 6 y 4 x 1 2 4 k 1 4 2 x 1 4 2 3 x 1 4 2 x 1 3 y z How are they the same How are they different Create two additional equations with the same vertex as the equations above

2 What is the y intercept of the line y 3 5x 7 OA 3 5 OB 7 C 3 5 O D 7

3 Q1 Review In the diagram below n m and m24 x 45 and m27 x 45 Determine all possible values of the m27 n m 7 8 4

9 In Rolling Acres Subdivision 42 of the houses have a deck and a yaray 60 have a deck Find the probability that a home has a garage given that it has a deck 10 In a pizzeria 95 of the customers order pizza 11 65 of the customers order pizza and a salad find the probability that a customer who orders a pizza will also order a salad

6 Of fans who own sports league licensed apparel 31 have NFL apparel If 3 of these fans are selected at random what is the probability that all have NFL apparel

The pair of square pyramids are similar Use the given information to find the scale factor of the smaller square pyramid to the larger square pyramid The scale factor is 3 V 343 in 3 V 512 in

Rewrite the equation in a rotated x y system without an x y term Express the equation involving x and y in the standard form of a conic section x xy y 3y 6 0 6 1 344 18

Explain how to translate the point 2 5 west 4 units and north 2 units In ctions

A preimage and its image are the same distance from the line of Select Choice

4 Sketch the curve and find a Cartesian equation b 0 tano y a r 3 2 r x y 3 x y x y 9 tan 1 3 silx

Sketch the curve and find a Cartesian equa b 0 1 a r 3 r2 x 4 3 x y x y 9

Find the volume of the sphere Give the answer in terms of x and rounded to the nearest cubic foot The volume in terms of is V ft Simplify your answer Type an exact answer in terms of 3 ft

What is the lateral area of the square pyramid to the nearest whole number Hint Use the Pythagorean Theorem to find the slant height 11 m 15 m Select one O a 330 m O b 176 m O c 165 m O d 351 m

The vertices of a square are H 0 2 I 2 0 J 0 2 and K 2 0 Which statements are true of the image of HIJK after the given composition of transformations Select all that apply Step 1 x y y x Step 2 x y 3x 3y DH 2 0 HIJK H T J K OHT J K H I J K J 6 0 y x is a line of symmetry for HIJK and well

Graph the image of P 10 5 after a reflection over the x axis 1042 P 10 8 9 6 4 2 8 6 4 2 2 4 6 8 2 4 6 8 10

Quadrilateral FGHT is a translation of quadrilateral FGHI Write the translation rule 10 8 x y by 6 4 2 H 8 6 4 2 0 2 8 10 2 4 6 H 8 10

Find the lateral area of the pyramid to the nearest whole number 6m 10 m Select one O a 180 square meters O b 360 square meters O c 120 square meters O d 240 square meters Check

Find the volume of the cylinder in terms of x and to the nearest tenth The volume in terms of is V in Type an exact answer in terms of I CILE 3 in 8 in

m 10 cm 4 cm Find the volume of the rectangular prism The volume is cm3 Simplify your answer

3 A right hexagonal prism is shown below A two dimensional cross section that is perpendicular to the base is taken from the prism 1 Which figure described the two dimensional cross section a Triangle b Rectangle c Pentagon d Hexagon

2 A two dimensional cross section is taken of a three dimensional object If this cross section is a triang what can not be the three dimensional object a Cone b Cylinder C Pyramid d Prism