iven two line segments, construct a rhombus whose diagonals have lengths equal to the lengths of the two given segments

Q: L. 4y – 2 - 2 M 2х + 10 |15 +х K 8—у N 'N,

A: Property of Parallelogram: Opposite sides are equal.

Q: SS₁²³ - 3x + 4y Find -3x + 4y 2y - 6x = 0, dA, where R is the parallelogram enclosed by the lines -…

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Q: For what value of x is the parallelogram a rhombus? 4x+27 7x-3

A: We are given with the rhombus and need to find the value of x

Q: XZWY is a rhombus with diagonals XW and ZY intersecting at point M. Given YMX = 3p + 6, solve for…

A: diagonals of rhombus makes right angle at ntersection point

Q: – 2x + 4y -dA, where R is the parallelogram enclosed by the lines 5y Find - r - R - 2x + 4y = 0, –…

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Q: If VY 6a - 47 and XY = 7a - 57, find the value of a that makes quadrilateral UVWX a parallelogram. W

A: since you have asked multiple questions in single request so we will be answering only first…

Q: Sketch the lines 3x+ 4y 7 and x- 2y = 6, and find their point of intersection. Hint: Their point of…

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Q: Find a plane containing the point (6, -4,-3) and the line (t) = +t 270

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Q: Find the equation for the plane through Po(4,9,8) perpendicular to the following li x= 4+t, y = 9+…

A: Given x=4+t  , -∞<t<∞y=9+2tz=-5tx=t=x-41 , y=t=y-a2  , z=t=-z5

Q: Find the intersection of the following geometric objects: the plane 3x + 2y - z = -9 and the line…

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Q: Determine the equation of the perpendicular bisector of KL if it's endpoints are at K O-7,5) and…

A: Given:    Points : K ( 7 , 5 )    ,   L ( 9 , 1 )

Q: Find the value of x and y in the rhombus. y° 3x 2x

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Q: find value(s) of k so that the lines described by 3x = 2y+11 and kx = 40 - 6y are perpendicular

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Q: * the lines 2x . 3y 1=0 and 3x - y -4 = 0 ke along diameters of a circle of circumference 10 , then…

A: The equation of a circle centered at h,k is defined by the equation, x-h2+y-k2=r2, where r is the…

Q: What are the coordinates of the vertices of AA'B'C' after a reflection across a line through point P…

A: Given, ∆A'B'C' is formed after a reflection across a line through point P followed by a translation…

Q: 1. Find an equation of the perpendicular bisector of the segment joining(3. -1) and (-1. 7). (A) x +…

A: Here we have to find the equation of line which is perpendicular bisector of the segment joining(3.…

Q: 1. Find the equation of the plane that contains the line point (1,3, 2). 무 =D북3부 md the

A: Let's find.

Q: The midpoint of a segment can be found using the formulas for a directed line segment, x = (X2-X1) +…

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Q: Let I, be the line described by the Cartesian equations • x= 1 • y-9 = 2(z-7) Let l, be the line…

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Q: Consider the line which passes through the point P(1, 3, -5), and which is parallel to the line æ =…

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Q: (10x + 10y) dA, where R is the parallelogram with vertices (-1, 4), (1, -4), (4, –1), and (2, 7) ; x…

A: Assume that L1 is the line connecting (-1,4) and (1,-4) then the equation of the line connecting…

Q: For what value of x is the given parallelogram a rhombus? (7x+6)° (9x-8)° The given parallelogram is…

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Q: (a) At what point do the curves ri = (-4+t, -6 – 2t, 7+ 2t + t2) and r2 = (-5 – 2s, -4 +3s, 6 + s?)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: -62-y Find dA, where R is the parallelogram enclosed by the lines -3x +y R - 6x – y = 0, - 6x – y =…

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Q: The pair of lines defined by the equations 2x – 5y=-3 and 2x+5y=4 are O A. parallel to each other. O…

A: Given lines  2x-5y=-3 and 2x+5y=4

Q: Determine whether the lines L1 and L2 are parallel, skew, or intersecting. X - Y - 3 z - 2 %3D 3 х—…

A: Given that the two lines     L1: x/1 = (y - 1)/3 = (z - 2)/3    L2: (x - 3)/-3 = (y - 10)/-6 =…

Q: :) Find the shortest distance from the point P(3, 1, 1) to the plane with equation 2x – 3y + 2z = 22…

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Q: Which equation can be used to find the value of x that makes the quadrilateral a parallelogram? Show…

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Q: The equation of the line that goes through the point (1,1) and is perpendicular to the line 4x+4y=4…

A: Given,           The equation of the line that goes through the point (1,1) and is perpendicular to…

Q: a). Determine a pair of planes whose intersection is the given line. = 2-3k, y = 3+e , Z- 2 -4€

A: Note: as per our guidelines we are supposed to answer only one question.* *Kindly repost other…

Q: Determine the angle between the following two planes: [1T/2A] 4x - 3y2z - 2 = 0 3x + 2y + 5z - 5 = 0

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Q: In parallelogram WXYZ, diagonals WY and XZ intersect at point A. Give WA = x^2 - 48 and AY = x^2 -…

A: We have to find WY

Q: XZWY is a rhombus with diagonals XW and ZY intersecting at point M Given ZYMW 3p + 6, solve for the…

A: We have given a rhombus. We have to find the vaule of p from figure.  We know that diagonals of a…

Q: Given the point P (2, 4, –1) and the line L: x = 1+ t; y=2+ 4t ; = =-3t Find the equation of the…

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Q: Two sides of a rhombus ABCD are parallel to the lines Hy=5 and 6z-y= 3. If the diagonals of the…

A: For the given Rhombus ABCD: Parallel lines to which two sides of Rhombus are parallel are:…

Q: The diagonals of parallelogram ABCD intersect at E. If EB= 8y – 7 and BD= 12y + 6 , find y. -

A: given  BE=8y-7             BD=12y+6            ∴ Diagonals of a parallelogram bisects each other…

Q: For what value of x is the given parallelogram a rhombus? (4x+ 18)° (7x-3)° The given parallelogram…

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Q: For what value of x is the given parallelogram a rhombus? (7x+11)° (9x-5) The given parallelogram is…

A: Please see the explanation below.

Q: Find the equation of the plane through the point (1,4,7) and perpendicular to the line x = 2 + t, y…

A: If the plane is perpendicular to the line, then the line is also perpendicular to the plane.  So the…

Q: Show that KLPQ is a parallelogram for m = 14 and n = 12.5. %3D %3D (5m + 36)° (6n - 1)° (4m +50)° K

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Q: 4-Sy. dA, where R is the parallelogram enclosed by the lines x- Sy - 0, x- Sy 9, 4x-y 1, and x- y=7…

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Q: For what value of x is the given parallelogram a rhombus? (2x+36)° (5x-3)° The given parallelogram…

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Q: A point moves so that the ratio of its distances from 3x + 4y + 8 = 0 and 4x + 3y – 6 = 0 is 2. Find…

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Q: 2x + 3y Find -dA, where R is the parallelogram enclosed by the lines 4x – 4y -- 2x + 3y = 0, 2x + 3y…

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Q: , in general form (x + y2 + Bx + Cy + D = 0), centered a he lines 2x + y + 10 = 0 and x - 2y - 5 = 0…

A: We have to find the equation of a circle whose center is the point of intersection of,  2x+y+10=0…

Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 n,…

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Q: For what value of x is the given parallelogram a rhombus? (7x+5)° (9x-7)° The given parallelogram is…

A: Given:  Parallelogram is rhombusCondition: Opposite angles are…

Q: Given are two points [1,3] and (6, –1] in the plane. Which equation of the form a ·z + b•y+c=0…

A: (y-y1)/(y2 -y1) = (x-x1)/(x2-x1) (x1,y1 ) = (1,3) (x2,y2 ) =(6,-1) (y-3)/(-1-3) = (x-1)/(6-1)…

Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 1,…

A: Given circumference of the circle  10π we know that circumference of the circle with radius r will…

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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