Determine the vertex of the parabola whose graph is given below. MMM 6 5 4 S 2 -7-6-5-4-3-2-1, 1 2 3 4 5 6 7 3 -6 -7

Q: Define the term Ordered pair.

A: An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate),…

Q: Explain in word what are the possible consistent and inconsistent system for 2 lines planes?

A: The conditions for the consistent system of equations can be explained as follows:

Q: state explicity which ordered pairs are in A x B and which are in R?

A: The ordered pairs (x,y) such that x∈A, y∈B are in AxB. i.e.  AxB={(x,y) | x∈A, y∈B}

Q: Graph the preimage and image of AABC with A(-4,3), B(-2,2), and C(-3,-3). Reflect it about the…

A: The given points of triangle ABC are as  A= (-4,3) B= (-2,2) C= (-3,-3)

Q: In the following diagram let A, B, .., F denote restaurants, and the lines connecting them overpass.…

A: Given: The diagram of restaurants and overpass as And the blogger stops for lunch when he cannot…

Q: If A = {1, 2, 3, 7} and B = {2, 4, 5, 7}, then the intersection of A and B is?

A: Given that if          A=1, 2, 3, 7and B=2, 4, 5, 7. then to find the intersection of A and B i.e.…

Q: Xi = 5,10,15,20,25, Yi = 125,200,300,400,500, Find: E-, 25 + X; /Y; i=1

A: Given data : Xi Yi 5 125 10 200 15 300 20 400 25 500 We have to find :…

Q: V16-x² Graph and evaluate Szz+y2) V16 – r²drdzd0 -

A: As integral given in cylindrical form ( dz dr dθ ) so we will convert limits also in cylindrical co…

Q: Find the intersection: {k, s, 1, v, x}n{s,t, a, r, k} .

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Q: Simplify the following expressions using k-map for the 4 variables A, B, C and D. (i) (1) Y=m, +m, +…

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Q: If A (-2,-1),B(a,0),C(4,6) and D(1,2)are the vertices of a parallelogram, find the values of a and…

A: In parallelogram, opposite sides are parallel to each other.Hence their slopes are always same.

Q: Find the set (A∪B)∩C if A={0},B={1,2} and C={−1,0,1,2}

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Q: The point (4,3) is. the point of the intersection of the diagonals of parallelogram and two of whose…

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Q: Find the values of b and c so that has vertex (-1,2). y = 3x²+bx+c

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Q: Let A = {j, z}, B = {1,5,7}. Each element is expressed as an ordered pair. ВХА3{ }

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Q: Find dz implicitly of the relation r + y³ = 3ry.

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Q: Which ordered pair is the vertex of y=|x+2|-1 ?

A: Given function is y=|x+2|-1. Using the definition of the modulus function that x=x if x≥0-x if…

Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). - 2ü + 20 (-8,-12 - 20)

A: Given :-  u=<3,-4,-10>  v=<-7,-2,0>  To find:-  2u+2v

Q: Show that A(-4, 2), B(1, 4), C(3, -1), and D(-2, -3) are vertices of a square.

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Q: Find the adjoint of A (1 2 4 A =3 4 5 2 -2 2

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Q: Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.

A: Number of elements in A=2 ...................................In B=2

Q: Find Jul, Ivl, 12u[, , lu + vl, lu - vl, and Jul - Ivl. u - (1, -4), v= (-10, –10)

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Q: Decide if (1 (5, 7, – 7) + r(1, 5, -4) intersect or are skew. If €1 and €, intersect, what is the…

A: We have two equation of line. L1=1, 2, 3+n2, 5, -6L2=5, 7, -7+r1, 5, -4 Here,…

Q: Which of the following ordered pairs satisfy the 7x+8y0? а. (1,-5) b. (5,-1) . с. (1,1) • d. (0,0)

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Q: 5. Use the diagram to the right to find all labeled variables: Ww: X: y: z: B F 'y G. 30 A E

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Q: The vertices of AJKL are J(-3, -2), K(1, 4), and L(4, 2). Which coordinate pairs are vertices of…

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Q: Let l1 and l2 be as above. Describe precisely the intersection l1 lz and justify your answer.

A: Ans:

Q: Given  fx=-x+42-7, what is true for vertex point?   Max., (4, -7)…

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