1. Following figure shows a Parallelogram. A D b B C a If a=(2i-j+3k), b=(3i+5j-k), find the area of the Parallelogram.

Q: If DF = 2v + 8 and DH = 9v - 20, find DF in parallelogram EFGH. %3D %3D

A: Recall: Properties of parallelogram The diagonals of a parallelogram bisect each other. Given,…

Q: Find the cartesian coordinates of the point  (4,3π/2) (√2, π/4) (-9,-π/6)

A: To find the Cartesian coordinates of the following points.

Q: What is m22 in this parallelogram? 2 50° 115° A 115 © 15 1 B 50 2

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Q: Find the area of the triangle in the plane with vertices (3, 2), (7,3), and (6, -7). Area = 0

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Q: Find the area of the polygon formed by connecting the coordinates below. (6,5), (0,8), (8,-4),…

A: Given points(6,5), (0,8), (8,-4) , (-5,3), (-2,-4)

Q: 1. X+8x+22=O 8x8. 23ペ-2x-に0

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Q: Complete the square to express y= 3x – 10x – 5 in the form y=a(x-h)² +k. Then give the coordinates…

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Q: Solve (-1+i)6 using De Moivre’s Theorem. Express final answer as rectangular form

A: Given term is: -1+i6

Q: R. Find the adjoint of square metria 2 3 5 (A )- A= 60 2

A: We have to find the adjoint matrix

Q: 2 1 + 쉬우 axis (+1 zi (+ [ ]

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Q: Complete the square method: Show all your work! Put x² + y² 10x + 6y 15 = 0 in center radius form.…

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Q: Find the following dot product. (-19,3) · (16,-6)

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Q: If mZPQT= (3x + 47)° and mZSQR = (6x – 25), find the me- 7. %3D P. T. R

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Q: Translate quadrilateral BDFH using the rule (x, y) (x+ 6, y- 10) and label the image D B

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Q: Find the area of Triangular of the two vecters:- Ā- 2i+ j- 2K B- i+ 3j+4K

A: Area of triangle = 12A→×B→     ;  Where A→and B→ are position vector of two adjacent sides.

Q: 9. If CE = 6x – 1 and EB = 2x + 11, Use parallelogram ABCD for 9 and 10. find CB. 47 .B

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Q: z = x* + x In y + sin x, where x is horizontal distance at x-direction, y is horizontal distance at…

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Q: z= 2e'+i

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Q: S = 1/2(a +b + c) for a (geometry, semi or half perimeter of a triangle)

A: We have to write the formula for area of triangle.

Q: B=(-83,57) 6-(27,-50) and D (30,51) 4. Points 0, A= (-79,-49), %3D calculate AB + B Ć t CD

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Q: 2. The area of a rectangle is 48x°y® sguare yards. Find the width if the length of the rectangle is…

A: We know that area of a rectangle is equal to length X  width. We will use this formula to find out…

Q: What are the coordinates of H of this square with a height of k?

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Q: Express the general form to its standard form and locate the center, vertices, covertices and foci…

A: equation 4x2 - y2 - 32x - 4y + 24 = 0

Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

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Q: could you please show the steps of how you obtained that rectangular equation? thank you!

A: As per the question we are given the equation of an ellipse in parametric form, and we have to find…