Find all values of x so that the triangle with vertices A=(-2, –1, x), B=(-4, -2, –2), and C=(-2, -1, –1) has area 2.

Q: a) parallelogram, then find its area: P2(1, 0, 1), P3 (0, 1, 1), p.(1.1.1) Show that the four points…

A: Solution:-

Q: 10. Find the coordinates of point P along the directed line segment AB. A(2, 0), B(12, -5) so that…

A: Here we have, point A(2,0) and point B(12,-5).AP:PB=3:2We have to find coordinate of point P.

Q: Find a such that the points A(1, 3), B(4, 5), and C(a, a) are collinear.

A: Explanation: Given that,  Three points  A(1,3)B(4,5)C(a,a) We know that,  If three points are…

Q: A, B, and C are collinear points: B is between A and C.  If AB = 12, BC = 18, and AC = 3x, find x.

A: If A, B, and C are collinear points and B is Between A and C, then AB + BC = AC

Q: For what value of K,the point (k,k) ,(2,3) and (4,-1) are collinear

A: k=7/3

Q: The coordinates of the vertices of AABC are A(0, 0), B(6, 2) and C(2, – 4). What are the coordinates…

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Q: F = (-3y, 3x); R is the triangle with vertices (0, 0), (1, 0), and (0, 2).

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Q: A square (say C) is formed through the vertices z= 0, z=1, z =1+i and z=i, then evaluate ze dz .

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Evaulate ∫C▒1/sinzdz , Where C is the rectangle with vertices at -1-i, 8-i,8+i and -1+i oriented…

A: Consider the provided question, The given rectangle with vertices is drawn as,

Q: In the triangle below, O is the centroid. Find the length of median XP. 3x 2x-7 Y XP

A: Given, OP = 2x - 7 OX = 3x  So, According to the figure XP = OX + OP      = 3x + 2x - 7       = 5x -…

Q: The parallelogram (ABCD) has vertices at A(2,-1, 4), B(1,0,-1), C(1,2, 3), and D, then اخترأحد…

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Q: Find the center C(h,k) and radius (a) :of the circle x² + y° – 4x – 4 C(4, 3/2), a = 5 O С (4, 0), а…

A: Solution:-

Q: Evaluate ||e+ dA where D is the triangle with vertices (0,0), (-2,4) and (8,4). D

A: To find the value of given double integral.

Q: sult. 1. A(5, 8), where A (b, h) =}bh (A computes the area of a triangle with base b and height h.)

A: Put b=5, h=8

Q: A, B, and C are collinear points: C is between A and B. If AC = 2x + 1, CB = 3x - 1, and AB 35, find…

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Q: -dA where R is the triangle of vertices (0,0), (1.0) and (0, 1). answer: 0

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Q: A, B, and C are collinear points: Cis the midpoint of AB. If AC = x + 11 and CB = 2x - 5, find AC.

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: 5. In each case, sketch the set of points determined by the given condition: (a) |z -1+ i| = 1; (b)…

A: Think of it this way |Z +a + bi| = 1 is the unit circle                                |Z +a + bi|…

Q: The figure shows line AC and line PQ intersecting at point B. Lines A'C' and P'Q' will be the images…

A: Given,

Q: Find the area of the triangle P QR with vertices P (1, 1, 0), Q(7, 1, 0) and R(9, 4, 2). (Your work…

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Q: Graph each figure and its image under the translation with the given rule. Give the coordinates of…

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Q: The parallelogram (ABCD) has vertices at A(2,-1,4), B(1,0,-1), C(1, 2, 3), and D, then اخترأحد…

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Q: Find the area of JEN if the coodrinates of the vertices are J(0,3) E(6,0), and N(8,3)

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Q: Evaluate O xy?dx + x5dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

A: Answer and explanation is given below...

Q: dA where R is the quadrilateral with the 5: Evaluate RI+y vertices (1,0), (4,0), (0,1), (0,4) using…

A: The solution are next step

Q: for what value of k ,the point (k,k),(2,3) and (4,-1) are collinear

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Q: Let C denote the triangle with vertices at (0, 0), (0, 1) and (2, 1), oriented positively. Then f(x²…

A: We have to apply the green's theorem here.

Q: If the point (p, q) , (m, n) and(p-m, q-n) are collinear show that pn = qm

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Q: Consider AB in the coordinate plane below. 10 4. 2. A -10-9 -8-7 l0 1 -1 -5-4-3 -2-1 2. 4. 10 -2 -3…

A: Given: AB¯

Q: Find a center of perspectivity for the triangles AABD and AFHI. Give the correspondence between the…

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Q: Aa, Bb, and Cc are medians of triangle ABC with centroid at G , if aG = x, what is AG?  a. x b. 2x…

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Q: The area of the triangle with vertices at P = (1, 0, -2), Q = (2, 3, 1) and R = (2,1,0) is O a) V14…

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Q: If A(x₁, y₁), B(x, y₂) and C(x3, v3) are the vertices of triangle ABC and x+y=x+y=x+y. then show…

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Q: Let R be the triangle in the xy-plane with vertices (0,0),(0, 1),(1,0). Find C[n(2 – x – y) dA.

A: Given vertices of triangle now we have to find the area as shown below

Q: A, B, and C are collinear points: C is the midpoint of AB.   If AC = x + 11 and  CB = 2x - 5,

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Q: Exercise 5 Consider the following triangle. V- proju(v) 1. Prove that the area of this triangle is…

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Q: Identify the center, vertices, co-vertices, and foci of each. (x + 8)² (y+ 1) 1) 100 (x + 9)? (y +…

A: Ellipse: It is a closed curve formed by the locus of all points on a plane whose distance is fixed…

Q: Find the value of o(4x + y)dy - rydy where C is the path around the triangle in the counterclockwise…

A: According to our guidelines we can only answer one question at time, rest you can repost. The given…

Q: 5.12 Find the center of: a) V; b) Qs-

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Q: 12. Let v =|0 and y For what value(s) of h is y in the plane -3 -2 generated by v and v2?

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: I need help w/ following integration by pullback

A: Given that R be the parallelogram with the vertices at (1,0), (3,1), (4,4), (2,3). And…

Q: A, B, and C are collinear points. Bis between A and C. AB = 5x + 8 BC = 6x - 1 %3D AC = 12x - 11…

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Q: Find c, and cz for the inner product of R2 given by (u, v) = C;u;V2 + Czuzv2 such that the graph…

A: Given the inner product u,v=c1u1v1+c2u2v2 whose length is u=1.   From the given figure, we can write…

Q: Find the length of each segment. W X Y -5 5. WX 6. WY Wx= WY = MAXE 7. Points A, B, and C are…

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Q: 9. f(z) = e'n/4z %3D

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Q: 7. Use the distance formula to determine if points P, Q, and R are collinear. a. P(-1,4), Q(-2, 3),…

A: To determine if points P, Q, and R are collinear a P-1,4, Q-2,3, R-4,1b P-2,1, Q3,4, R12,10c P-2,-3,…

Q: Consider AB in the coordinate plane below. 10 7 5 4 3. 2 A B 6 7 89 10 10-9 -8 -7 -6 -5 -4 -3 -2 -1…

A: i am going to solve the given problem by using some simple geometry to get the required result.

Q: Describe geometrically all points P(x, y, z) that satisfy the given condition. X = 1

A: Given the points P(x,y,z) that satisfy the condition x=1.

Q: 12. Given W(-1,5,2), X(6,-2,3) and Y(-2,-7,-3), are points in 3D, then determine the area of…

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