Finding the Kernel and Range In Exercises 31-34, find (a)
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- compute and explain (3)(-5) using a modelarrow_forwardQuadrilateral HIJKHIJK has vertices H(−1, 3)H(−1, 3), I(2, 3)I(2, 3), J(2,−1)J(2,−1), and K(−3,−1)K(−3,−1). It is dilated by a scale factor of 77 with a center of dilation at (0, 0)(0, 0). What are the coordinates of the image H′I′J′K′H′I′J′K′?arrow_forwardQuadrilateral HIJKHIJK has vertices H(−1, 3)H(−1, 3), I(2, 3)I(2, 3), J(2,−1)J(2,−1), and K(−3,−1)K(−3,−1). It is dilated by a scale factor of 77 with a center of dilation at (0, 0)(0, 0). Part A. What are the coordinates of the image H′I′J′K′H′I′J′K′? Part B. What is the algebraic representation of the dilation? Enter the correct coordinates in the boxes.arrow_forward
- use the second shift theorem to determinearrow_forwardEXAMPLE 5 Calculating Distance (a) The distance between P(-1, 2) and 0(3, 4) is V(3 - (-1))² + (4 – 2) = V(4 + (2)² = V/20 = V4.5 = 2V5. (b) The distance from the origin to P(x, y) is V - 0)² + (y – o) = Vx² + y?. 21 Exercises1.2: Write an equation for each line described. 1. Passes through (-8,0) and (-1,3). 2. Passes through (2,-3)with slop 1/2. 3. Has slope -5/4 and y-intercept 6 . 4. Passes through (-12, -9) and has slope 0. 5. Passes through (1/3 , 4), and has no slope. 6. Has y-intercept -6 and x-intercept 2 7. Passes through(-V2, 2)parallel to the line 2 x+ 5y= V3 . 8. Passes through(4,10) and is perpendicular to the line 6x - 3y=5. 22arrow_forwardLienar Algebra Let the line pass through the points A(1, 0, 1) and B(0, 1, 1). Calculate the distance from point C(2, 1, 2) to the line r.arrow_forward
- Pls helparrow_forwardGeometry Review Worksheet A (1) Refer to the figure to the right , given DE || BC. (a) AD = 7, BD= 3, DE = 6 Find: BC_ (b) AD = 3, BD = 5 , AE = 4 Find: CE E (c) AD = 4, AB = 10 , BC = 25 Find: DE (d) AD = (x –1), BD = 5 , AE = 1, CE = (x +3), DE = (2x + 1) Find: x , BC_ B (e) AD = 2x , BD = (x + 3), AE = (4x – 1), СЕ 3 5х , ВС - (6х + 2) Find: х. DE (2) Refer to the figure to the right, Z1 = 2. (a) AC = 6 , BC = 8 , BD = 5 Find: AD (b) AB = 10 , AC = 4 , BC = 8 Find: AD (c) AC = 3 , AD = (x – 4) , BC = x , BD = 4 Find: BC A D В (3) Given: ABCD is a parallelogram, sides as (4) Given: The figure below, 1||m||n marked. 12 1 10 8 x + 2 D C. Find: BE_ СЕ CF Find: xarrow_forwardConsider the function f(x) = ao + a₁x + a₂x² + a3x³ + a²x¹. The goal of this exercises is to find ao, a1, a2, a3, a4, knowing that the graph of the function y = f(x) passes through the points (0, 0), (1, 2), (2, 4), (3, 6), (4,8). (a) Set up a system of linear equations that represents the problem. (b) Solve the system and find the values of each a; for i = 1, 2, 3, 4.arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage