Find an equation of the plane with the given characteristics. The plane contains the y-axis and makes an angle of n/6 with the positive x-axis.

Q: d. Find the equations of the two parallel planes that are distance 5 away from plane P.

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Q: Find the distance from the point to the given plane. (-7, 9, 2), x – 2y – 4z = 8 Need Help? Read It

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Q: Which of the following planes contains the z-axis?x + y = 1

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Q: Among all the points on the graph of z = 10 – a? - y? above the plane a+ 2y +32 = 0, find the point…

A: We have to find out the farthest point from the given plane

Q: Use the plane shown below to answer the questions. Let A = 3, B = 4, and C = 24. (a) Find an…

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Q: For what value of x is the parallelogram a rhombus? 2x+52 7x-3 The figure is a rhombus when x =

A: A parallelogram is rhombus if length of  the four sides are equal.

Q: Find the distance from (-2,8,-13) to each of the following 1. The zy-plane. Answer 2. The yz-plane.…

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Q: Find the equation for the plane through Po(3,1,9) perpendicular to the following line. x = 3 + t, y…

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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 A(0,−40, 0) and B (40, 0,⎯20)A0,-40, 0 and B (40, 0,-20) Obtain the distance AB:…

Q: The quadrilateral ABCD on a coordinate plane has the following characteristics. AD can be…

A: Please find the detailed solution.

Q: Find the distance from the point (-1, -1, -2) to the plane - 3x – 2y + 1z = -4. Hint: See "Planes"…

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Q: (b) How do you find the distance from a point to a plane?

A: Formula to find the distance from a point (x1 , y1 , z2 ) to the plane Ax+By+Cz+d=0 is given by:

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

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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: 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: Eliminate the parameter t to find a Cartesian equation for: x = t2 y = 7 + 5t The resulting equation…

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Q: H.w.3 Find equation of the Plane passes through the origin and the point P(Is) and Par alle I t- the…

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Q: draw the plane given by the equation  x + 2y = 6

A: To draw the plane given by the equation  x + 2y = 6

Q: ) of the plane and the line. (If an answer does not exist, enter DNE.) =2-5 10 plane. e nlane

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Q: If i = v-1, which point shows the location of 5- 2i on the plane?

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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: O Find an equation for the plane through the point P = (3, −2, 4) that is perpendicular to the line…

A: Given problem:- Find an equation for the plane through the point P = (3, -2, 4) that is…

Q: For what value of x is the given parallelogram a rhombus? (4x-15)° (6x-9)° %3D

A: AB is a diagonal of the rhombusand diagonal's bisects each other

Q: a. A trapezoid has been transformed on the coordinate plane as shown. Trapezoíd A Trapezoid B

A: Given that:

Q: Find the point o

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Q: Can I have a detailed, step-by-step explanation for the following question?Thank you! Find the…

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Q: determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

A: (a) Consider the point (-3, 1). Recall that to find the point that is symmetric about the x-axis, we…

Q: Write an equation for the plane that contains the x-axis and the point (0, 8, 24). O 3 = x² + y? +…

A: Please refer the attached image for complete solution.

Q: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Which of the following  points in the standard (x, y) coordinate plane is furthest from the origin

Q: Find an equation of the plane. The plane through the point (3, 0, 2) and perpendicular to the line x…

A: Given point : P3,0,2and the line L:x=9t, y=2-t, z=6+2tThe required plane passes through P and…

Q: Eliminate the parameter t to find a Cartesian equation for: x = ? and y = 9 + 4t . and express your…

A: We are given that x=t2 and y=9+4t. Now,…

Q: On the lacrosse field, the circular region around the net, called the crease, is an area that only…

A: Concept : equation of circle with center xo,yo and radius r is (x-xo)2+(y-yo)2 =r2 the crease can be…

Q: c. Find the distance from Po = (3,9, 6) to the plane 3.x + 4y – 5 = 0.

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Q: The following equations represent a line, L and two planes, P and P, that are parallel to each other…

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Q: Consider the given diagram, find: (a) The coordinates of point R. (b) The exact distance from S to…

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Q: Find the distance between the point P(-3,4,-20) and the plane we are considering. (Hint: Draw a…

A: First obtain the equation of the plane. For normal vector <a,b,c> and point <xo,yo,zo>…

Q: Find the slopes-intercept form of the plane 9x + 4y + 6z = 24, then graph the plane. * है

A: We have to find the slopes-intercept form of the plane.

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 y-coordinate of the point on the plane x+ 6y + 7z = 3 that is closest to the point (-14,…

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Q: Find the distance between the line with equation 1. +t and the plane with equation r + y + z = 19 in…

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Q: Find the angle, in degrees, between the 2 planes with equations X-y+3z=1 and 3x+ y-z=D2

A: Take the normal vectors of the planes x-y+3z-1=0 and 3x+y-z-2=0 as N1⇀ and N2⇀ respectively.…

Q: ₁:9x+13y-2z=-4 x = 5+2t y=-5-4t z = 2+3t

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Q: Find the equation for the plane through Po(1,8,-5) perpendicular to the following line. x- 1+t, y= 8…

A: We have give equation of line x=1+t, y=8+5t ,z=-2t We can write this equation in symmetric from…

Q: H.W 8- Find equations of the planes that are parallel to the plane x +2y- 2z= 1 and two units away…

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Q: Using the data from the table of values, plot the points on the cartesian plane and connect the…

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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: Q3: Find the dihedral angle between the plane ACD and CDB. C

A: PROCEDURE : Now consider the one division of grid as 1 cm draw given view . To find true length of…