Concept explainers
In Exercises 27-32, select the representations that do not change the location of the given point.
a.
b.
c.
d.
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
Algebra and Trigonometry (6th Edition)
- Determine whether the points (3,2),(5,3), and (1,1) are collinear.arrow_forwardAre these points collinear? a A-2,5, B0,2, and C4,-4 b D-1,-1, E2,-2, and F5,-5arrow_forward) Draw AND LABEL A A'B'C' THE IMAGE OF A ABC AFTER REFLECTION OVER THE X-AXIS. c(4,.4) A(2,1),B(5,1), c (4,4) B(S) 2) DRAW AND LABEL AA'B'C' THE IMAGE OF A ABC AFTER REFLECTION OVER POINT O, THE ORIGIN, (o,0). A (2,12), B(4,4), c (2,s) A(2,2) 3) DRAW AND LABEL AA'B'c' 14 THE IMAGE OF A ABC AFTER REFLECTION OVER THE Y-AXIS. A (3,), B(5,4), c(2,6)' A(3,1)arrow_forward
- Consider the points A(1, -3, 7), B(3, 2, 7) and C(-1, -1, k). Determine the possible value(s) of k if the area of AABC = 7.5.arrow_forwardSpecify in coordinates the projection made from point (1, 1) on the abscissa axis to the ordinate axis, with standard coordinates on each of them. Write the answer in the form [a+b*x] / [c+d*x]?arrow_forwardSketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A, point B and point C form an equilateral triangle!arrow_forward
- The box shown in A D B --- -- ---arrow_forward5. Find the image of the triangle ABC, A(4,-1), B(1,0), C (3,1) under reflection 4y = 3x + 5 followed by translation of (3) and then followed by enlargement r = 5 centered at the origin. Draw the original triangle and each transformations on a single coordinate.arrow_forwardformulate this probblem. There are currently 3 machines in a factory: P1, P2, and P3. Assume that this rectilinear shaped factory is located on the first quadrant of the coordinate system and one corner is at the origin (point (0,0)). The coordinates of the existing machines are as follows: P1=(10,15), P2=(20,25) ve P3=(40,5) To meet the increasing demand and respond to changing customer demands, the company decided to grow and acquired two new machines: N1 and N2. When these two machines are put into operation, they will exchange materials with each other and with the other three machines. 400 units of material will be transported between the 2 two new machines in a week. Similarly, 400 units will be transported between N1 and P1, 0 between N1 and P2, and 500 units between N1 and P3. The transportation between N2 and P1, P2, and P3 are 200, 100, and 0, respectively. Materials are transported with an overhead crane. This crane can move linearly in x and y coordinates and can move…arrow_forward
- Are the following statements true or false? If true, explain why. If false, provide a counter example. (a) Consider the equation (r, y, 2) = (1, 1, 1) + (a, b, c)s + (a², &², c²)t for s,t € R. It is not possible to find 3 sets of values for a, b and e such that each set makes this equation describe a different geometric object. (b) It is possible to have two matricies A and B such that AB exists, BA exists, and yet A+ B does not exist. (c) The is no 2 x 2 matrix M such that M² = M unless M is the identity matrix or the zero matrix.arrow_forwardvector. Identify the coordinates of the image. 8. Square PQRS with vertices P(-5, 4), Q(2,8), R(6, 1), and S(-1, -3): (2,-4) P'. 11 l' ـــــــــ' R'(_____ S' 10. Triangle II Mwith vorticos (6-57) [(8.3). 9arrow_forwardA= 1-1-1 D and an orthogona mas Pfor which PT AP-D. The mats D should have s diagonal antres in reasing order from top left da diagonal Use the character per ACA (A)-³-3²+4 and one ofarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
- Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL