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- 1.Suppose a point has been shifted 4 units up and 7 units to the left. Write a rule for the translation. A. (x,y) --> (x+4,y+7) B. (x,y) --> (x+7,y+4) C. (x,y) --> (x-7,y-4) D. (x,y) --> (x-7,y+4) 2. Suppose a point on the pre-image of a triangle has been translated from to . How many units vertically and horizontally has the pre-image been translated? A. Horizontally: 5 units to the right, Vertically: 3 units up B. Horizontally: 6 units to the right, Vertically: 3 units up C. Horizontally: 6 units to the left, Vertically: 3 units down D. Horizontally: 3 units to the right, Vertically: 6 units upA rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?In the diagram: ΔLMNΔLMN is a right-angled triangle with vertices L(−6;7),M(a;b)L(−6;7),M(a;b) and N(−1;2)N(−1;2). LMLM is a vertical line parallel to the yy-axis and ΔLMNΔLMN has been translated to form ΔL′M′N′ 4.1 Determine the coordinate of M. 4.2 Determine the coordinate of N'. 4.3 Describe the translation in words. 4.4 Write an algebraic rule for this translation in the form (x;y)(x;y). 4.5 If A is reflected about the line y=xy=x, determine the coordinates of A’. 4.6 Write an algebraic rule for reflection about the line y=xy=x.
- Find the EXACT distance (do NOT round) between these two lines. L1: [x, y, z] = [1, 3, 7] + t[–1, 1, 2]L2: [x, y, z] = [4, –2, 1] + s[3, 2, –5]Quadrilateral FGHJ was dated with the origin as the center of dilation to create quadrilateral F'G'H'J. Which rule best represents the dilation that was applied to quadrilateral FGHJ to create F'G'H'J?Determine the distance from the point (8,10) to the farthest point on the circle x2+y2=16y Ans: 16.25 NOTE: RIGHT NEATLY AND CLEARLY
- Calculate the distance between the points K+(-2,-2) and F((2,1) in the coordinate plane. Give an exact answer, not decimalSupposed to j between H&K if HJ equals 2X +4 JK equals JK 3X +3 and KH equals 22 find the length of HJ and JK from U to always try image for some pay attention to what the question is asking forThe area bounded by the curve y=4x y=4x and the lines x=6x=6 ,x=10x=10 and x−axisx−axis is: Choose correct answer : A) 144 square units B) 128 square units C) 272 square units D) 3600 square units
- Can you please answer 6 (a&b) and show how you did your work if you cannot the x and y-axis clear enough here: x: 4, 8,12,16,20,24,28,32,36,40,44,48 y: 100,200,300,400,500,600,700a. Suppose you have 40 m of fencing with which to make a rectangular pen for a dog. If one side ofthe rectangle is x m long, explain why the otherside is (20 — x) m long.b. Express the area of the pen in terms of x.c. Find the area of the pen for each value of x: 0, 2,4, 6, 8, 10, 12, 14, 16, 18, 20. Record your answers on a set of axes like the one shown.d. Give the dimensions of the pen with the greatestarea.A translation is defined by the rule (x, y)⟼(x-2, y+5). If the image point is (3, 2), find the coordinate of the original point. a. (-5, 3) b. (-5, -3) c. (5, -3) d. (5, 3)