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Question: If the points (- 1, - 1), (- 1, 2), (3, 2) are joined by line segments to create the triangular region, then which system of linear inequalities defines the triangular region. x y y x x y y x x y y x x y y x Steps to derive 1 Plot the points (- 1, - 1), (- 1, 2), (3, 2) and join them by line segments to create the triangular region.3 Equation of line (1) crosses the x y x 4 Since the shaded region is to the right of the solid boundary line (1), the inequality is x 5 Equation of line (2) crosses the y x y 6 Since the shaded region is below the solid boundary line (2) the inequality is y 7 Line (3) passes through the points (- 1, - 1) and (3, 2).8 m y 2 - y 1 x 2 - x 1 2 - ( - 1 ) 3 - ( - 1 ) 3 4 9 y m x b 10 - 1 = 3 4 b x y m 3 4 11 - 1 + 3 4 b 12 - 1 4 b b 13 The equation of line (3) is y 3 4 x 1 4 14 4y x 15 Since the shaded region is above the solid boundary line (3), the inequality is 4y x 16 The system of inequalities that describes the triangular region is x y y x Hence the right answer is Option B Click Here To Go Back Evaluate: limx→1 [1-x2+x3- . . . . . -x641+x2+x3+.. Evaluate limx→l (lx + 6lx + 5), if f(x) = 68 - 2x5x&nb.. Which of the following is true, if f (x) = x2 - 121, g(x) = x - 11?.. f(x) = x - 1, g(x) = x3 - 1, then choose the correct statement from the folowing... Find limx→4 [4f(x) + 3][4g(x) + 3], if limx→4 f(x) = 3 and .. If limx→3 (x+625x-2) = l, limx→2 (3x-113-x) = m, then write the quadratic equati.. Evaluate: limx→6 (x2-18x+72x-6).. Evaluate: limx→6 x3-216x-6.. Evaluate: limx→4 [x3-3x2-24x+80x3-4x2-16x+64].. Evaluate: limx→5 [x2+x-30x2-11x+30].. Evaluate: limx→2 [x4-16x3-2x-4].. If limx→7 (x2 - 49) = l, limx→7 (x3 - 14x2 + 42x + 49) = m then find limx→7.. Evaluate: limx→4 [x3 - 4x2 + 4x + 3x + 4].. Evaluate: limx→0 [(6 + x)3-(6 - x)3(6 + x)2-(6 -&n.. Evaluate: limx→2 [1+x+x2+ . . . . +x601+x+x2 + .&n.. Evaluate: limx→4 x3-12x-16x3-8x2+12x+16.. Evaluate: limx→5 [x2 - 12x + 35x3 - 12x2 + 47.. Evaluate: limx→81 [x - 9x - 81].. Evaluate: limx→1 [7 - 6x - 1x - 1].. Evaluate: limx→- 1 [x21 + 1x19 + 1].. Evaluate: limx→9 [81+(x - 9)3-81-(x - 9)3(x - 9)3].. Evaluate: limx→0 [2x100 + x -100 - x].. Evaluate: limx→5 [(x+9)115-(14)115x-5].. Evaluate: limx→1 [2x2 + x - 3(3x - 1) (x&nbs.. Evaluate: limx→4 [x - 4x2 - 4x + 64 - 8].. Evaluate: limx→1 [x2 -xx - 1].. Evaluate limx→k+1 [x4-1x3-1], if limx→0 [7+x3-7-x3x] = k... Evaluate: limx→1 [4x2 - 3x + 63 - 8x - 1].. Evaluate: limx→- 1 [(x + 1)6x2+3+3x].. Evaluate: limx→1 (x-1x11 - 1).. Evaluate: limx→7 [2+2+x -5x-7].. Evaluate: limx→0 [31+x+x2-31-x+x2x2-x].. Evaluate: limx→0 [(1+x)1/8-(1-x)1/8x].. Evaluate: limx→2 [x2-2x1+x+x2-7+2x-x2].. Evaluate :limx→0 [x5x2+11x+9-5x2+6x+9].. Evaluate: limx→0 [(1+x)89-1(1+x)1011-1].. What is a tessellation?.. Identify the repeating figure or figures that make up this tessellation... Identify the incorrect statement/statements... Evaluate: limx→0 [64-64x2-64-64x81+81x-81+81x2].. Evaluate: limx→0 [x(1+x)1/10-(1-x)1/10].. Recognise the tessellation with regular polygons... Identify the figure with pure tessellation... Among the following, identify the incorrect statement... Evaluate: limx→1 [5x+1-x+55-x-8x-4].. If limx→3 [x-33-6+x] = l and limx→5 [x-5x2+11-6] = m, then find the values of l,.. Identify the figure with correct line of symmetry... Does the figure shown can be used to tile the plane?.. Evaluate: limh→0 [1h (125+h3)-15h].. Samson's ball has a repeating pattern of figures that make up a tessellation. Can you iden.. Is the figure shown can be used to tile the plane?.. Which among the following is/are not a pure tessellation?.. Identify the figure that shows rotational symmetry... Identify the repeating figure/figures that make up the tessellation... Does the figure shown can be used to tile the plane?.. Identify the repeating figure that make up the tessellation... Identify the repeating figure in the tessellation shown... Does the figure shown can be used to tile the plane?.. Is it possible to tile the plane only with regular decagons?.. Evaluate: limk→3- (33k3k+2).. What all types of symmetries are possible for the given figure?.. Ifg(q)= 34q + 7 if q < 0= 7if q = 0= 35q2 + 18q + 7if q > 0 then evaluate limq&rarr.. Evaluate: lima→1- ( 4 - 4a2 + 2a + 35).. The sphere has a pattern of figures which forms a tessellation. Recognize the repeating fi.. The following are rules of pure tessellation. Identify the incorrect statement... The definitions of symmetries of a tessellation are given. Identify the incorrect statemen.. Evaluate: lima→4+(48-3a2 + 43).. Evaluate: limn→5+16n-203n.. Does the figure shown can make up a tessellation... Describe the symmetry of the figure shown... Evaluate: limz→4+(9z2-81z+1804z-20 + 5z + 40).. Evaluate: lims→3- (2s2-183s-9).. Evaluate : limc→7-(25c-2004c2-60c+224 + 21 ).. If g(z)= 43z + 3ifz > 0,= 3ifz = 0,= 9z2 + 47z + 3ifz < 0, then evaluate limz→0.. Name the polyhedron which has 4 faces, 6 edges and 4 vertices... Iff (y)= 8 - yif y ≤ -1,= 10 + yif y > -1, then evaluate limy→-1 f (y.. If a solid has 6 faces and 8 vertices, then how many edges will it have?.. Complete the net to form a dodecahedron... Identify the incorrect statement... An engineer was asked to design external steps for a building. The height of the entrance .. Choose the net diagram of pentagonal prism of unit base length and also find the numbe.. Identify the right triangular prism from the given figures... Identify the net diagram that the packaging box represents from the figures shown... What is the solid that can be formed using the following polygons?.. Robert was asked to make a lid for a cylindrical tank open at one end. The lateral surface.. How many possible nets can be drawn for a tetrahedron?.. Identify the solid figure and select the net it would represent... Which of the following are the nets for a right prism?.. Identify the solid obtained by folding the net shown... If f (x) = 3sin2xx ifx < 0, = 41x2 + 33x + 6ifx ≥ 0, then find limx→0 f&n.. Ifg(x) = 27x + 11if x ≤ 6 = 3x2 + 9x + 11 if x > 6, then evaluate limx→6 g(x)... What is the name of the platonic solid which has 20 equilateral triangles as its faces?.. Find the number of nets that can represent a cube... Identify the solid whose faces are all triangles and name it... Identify the solid package whose faces are polygons... Which net has the vertices of the cube properly labeled?.. Find the number of nets that can be formed by a pyramid with a square base without any rep.. If f (z) = 3z + 8 if z ≥ 4, .. Mary wants to gift Ruthie with a box of chocolates on her birthday. On buying a chocolate .. Iff(a)= 2710if a ≤ 10,= 3sin 9(a-10)sin 10(a- 10) if a >10, then evaluat..
