/quizzes/435373 Question 1 Complete the statement for parallelogram KLMN If mZk = (4x + 11) and mLL = (6-1). What is m/K = K, M.

Q: Which of the following four planes are parallel? Are any of them identical?  Plane 1: 3x + 6y - 3z…

A: Given, the 4 planes we have to choose which of the four planes are parallel or identical.

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

A: The objective is to find the value of the given integral where c is the path around the triangle in…

Q: 16. For the parallelogram, if mL2 = 4x- 20 and m24 = 3x-11, find mZ1. The diagram is not to %3D %3D…

A: Given query is to find the measure of angle 1.

Q: The triangle abc (in UHG-universal hyperbolic geometry) is equilateral, i.e., the quadrances are all…

A: Given that, The triangle abc (in UHG-universal hyperbolic geometry) is equilateral, i.e., the…

Q: 1. Using Euler's equation, show that the shortest distance between two points (r1, yn, z1) and (r2,…

A: Given, the points are (x1, y1, z1)   and  (x2, y2, z2).

Q: Chapter 11, Section 11.4, Question 029a Consider the parallelepiped with adjacent edges u = 5i +…

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: 5. The ends of the transverse axis are at (+8,0) and the ends of the conjugate axis are at (0. 16).

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Q: 6. Quadrilateral STUV with vertices S(-4, 2), T(-2, 6), U(1,7), and V(4, 1) in the x-axis. nioM S'L.…

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Q: Our good friend Queen Bey is flying her private jet at a constant altitude of 8 miles and passes…

A: Please see the explanation below

Q: Calculate the distance between the points L= (8, 0) and K= (1, –4) in the coordinate plane. Give an…

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Q: What kind of conic section is given by the quadratic form ? -11x,2 + 84x,x2 + 24x,2 = 156 Transform…

A: Given Quadratic Equation is, -11x12+84x1x2+24x22=156 Matrix Representation form is, A=-11424224 Find…

Q: What angle does the line of interaction of the planes 2x+y-z = 0 and x+y+2z= 0 make with the…

A: The direction vector of the line of the interaction of the two planes is equal to the cross product…

Q: 5. Rhombus CDEF with vertices C-5, 5), D(-1,7), E(-3, 3), and F(-7, 1): 270° counterclockwise E D:…

A: When rotating a point 270 degrees counter clockwise  about origin, point x,y becomes y,-x. This…

Q: Parametrize the line segment joining the points P(1, 2, 0) and Q(1, 3, -1).

A: We know that equation of line passing through the points (x1,y1,z1) and (x2,y2,z2) is

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

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Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below,…

A: a. The points are A0,-40, 0 and B (40, 0,-20) Obtain the distance AB:…

Q: 1 Find the angle between the bris 2 • surfaces 4x+98 +32 = 91 and 9 2 = 12- (x²7 y ²) at the point…

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Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below with…

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Q: 3. Line segment JK in the xy-coordinate plane has endpoints with coordinates (-4, 11) and (8, -1).…

A: As per guidelines we can answer only one question at a time, so the first question can be answered…

Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below,…

A:

Q: What is the sketch the phrase "three collinear points and a fourth point not on the line of the…

A: Introduction: Dual of any phrase can be find by replacing the conjunction connective with…

Q: y -6- 4- 3- 2- 1- -3 2 -1 0 12 3 4 5 6 -1- -2- R -3- your work on question 10, classify this…

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Q: 2 b) Prove that Imz=0, larg z - 41= 4, 2-ž =0, 1Z-il=1Ztil are different equations all describing…

A: If we let z=x+iy then We will show that y=0 which is the equation of real axis.

Q: A triangle has vertices A(1,3), B(7,0) and C(4,6). Determine the equation of Euler's line? Hint:…

A: Sketch the triangle:

Q: Calculate the shortest distance between the point P = (3, 2, 2) and the plane 5x+y-2z = 3. (Do not…

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Q: The plane containing the point (-7,-1,0) and parallel to the plane 5x + 8y – 2z Ax+By+ Cz = D. If A…

A: Given the plane containing the point (-7,-1,0) and parallel to the plane 5x+8y-2z=-5 has the…

Q: 10. The distance between the point (3,-2,5) and the plane 2x+2y+z=5 is NONE

A: Given: The distance between (3,-2,5) and the plane 2x+2y+z=5

Q: 5) Given the point Q(2, 0, 1) and a plane p: 3x + y - 4z = 24, Find the distance from Q to p.

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Q: f(x,y) = 2xy (Aメノナ vertices ro,0), (1,0), (1,1) Find the average valine orer Ri triangle with

A: Here we have the 2 variable function that is fx,y=2xy. it is required to find the average value of…

Q: A crossed belt connects a 16-centimeter pulley (x = 8-cm radius) on an electric motor with a…

A: "Since you have posted a question with multiple sub-parts, as per our guidelines we will solve first…

Q: find distance between plane(6x_2y_z+4=0)and point (3,2,1) P 3:08

A: Given,           The plane is 6x-2y-x+4=0 and the point is 3,2,1.

Q: 4. Calculate the distance between the point Q(3, 1, 7) and the plane 2x-6y-z=3. Don't use a formula.…

A: Given point Q(3,1,7)and the plane 2x-6y-z=3. The objective is to find the distance between the point…

Q: Through one of the two intersection points of two circles, a diameter in each of the circles is…

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Q: Line AB 100 mm long is 30 degree and 45degree inclined to HP & VP respectively. End A is 10 mm above…

A: Steps to find HT: Draw xy, one projector and locate VT on it. Draw locus of a110 mm above xy. Take…

Q: Find the distance between the given parallel planes. 22 = 4y - 2x, 3z = 2 - 3x + 6y Need Help? Read…

A: The distance between the two parallel lines a1x+b1y+c1z=d1 and a1x+b1y+c1z=d2 is given by the…

Q: Q2. Find the vertices of unit square after shearing it along y-axis by a factor 2 and then…

A: Consider the unit square with vertices O0, 0, A1, 0, B1,1, C0, 1 as shown below:

Q: Suppose there are two lines in the xy-plane in R^2.  These two lines could intersect at a single…

A: let the lines be                              y=m1x+c1y=m2x+c2 given that lines are intersecting in…

Q: 7 Find the Paametric equ. for the line f intersect of the Planes 3x- 6y -2z =15 and 2X+Y-22%3D5?…

A: Given two lines, 3x-6y-2z=15 ....(i) and 2x+y-2z=5....(ii) Putting z=0 in (i) and (ii) we get,…

Q: If we mark off a distance t along the unit circle, starting at (1, 0) and moving in a…

A: We mark off the distance on unit circle, starting at (1,0) and movingcounter clockwise.After…

Q: 5. Rhombus CDEF with vertices C(-5, 5). D(-1, 7), E(-3, 3). and F(-7, 1): 270° counterclockwise C:…

A: Since you have posted multiple questions so according to our guidelines we will solve only first…

Q: How can we recognize if the two planes were parallel or not

A: Consider the vector equation of the two given planes as, r→·n1→=d1r→·n2→=d2 Here, n1→ and n2→ are…

Q: #5: 12(x')? + 3(y')² = 48 , rotated 30° from its position in the xy-plane

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Q: 32-85d1-059cfb370c78.pdf 2/2 250 9. What property of a parallelogram is being shown below? В A

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Q: 7. Rhombus FGHI with vertices F(6, -1). G(11, -3). H(13, -8). and (8. -6): scale factor = 2,…

A: Dilations involve multiplications. Scale factor 2 means every coordinate of original figure has to…

Q: 3. Determine the acute angle, to the nearest degree, between the planes T : 3x+ 2y - 4z +5 = 0 and…

A: π1: 3x+2y-4z+5=0comparing with Ax+By+Cz+D=0Direction ratios of normal=(3, 2, -4)n1→=3 i + 2 j - 4…

Q: Find the shortest distance from the point (2,0,–3) to the plane x + y + z = 1. . Use Lagrange…

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Q: Q = (-1,3,–1) on the plane Find the point P nearest to x – 4z = 2

A: Given, Q=(-1,3,-1) x-4z=2 (equation of plane) x-4z-2=0

Q: Plot the following and their normal vectors. 2x-2y + 2z = 15 3x - 3y + 3z = -13 Describe the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: (i) Find the direction cosines for v = 2, 3, 4 .  (ii) Verify that the sum of their squares equals…

A: We know that If the vector is xi+yj+zk=(x,y,z) and  r=length of x,y,z =√(x2+y2+z2) Then the…