y 2r + y = 8 (х, у) y

Q: Find any line equation that does not intersect the plane 2x – 5y + 3z 4. -

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Q: Find the point on the sphere x²+y2+z2=2304 that is farthest from the point (1,-18,-27).

A: d  = x-12+y+182+z+272d2 = x-12+y+182+z+272fx, y, z = x-12+y+182+z+272subject to the constraintgx,…

Q: Find two different planes whose intersection is the line x = 1 + t, y = 2 - t, z = 3 + 2t. Write…

A: Given:

Q: Quadrilateral UVWX is an isosceles trapezoid, UW = 2s, and VX = 3s 53. What is the value %3D %3D of…

A: For isosceles trapezoid, the diagonals are of equal length

Q: 10) Find the equation of the line of the intersection of the planes 2x+3y+7z+2=D0, x+2y-3z+5=D0.

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Q: Find the x- and y-intercepts of the line, and find the area and the perimeter of the triangle formed…

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Q: Solve for the orthogonal traysctories x*(3k-x) - ky². = x ? 2

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Q: What are the coordinates of the foci in the equation - 4 *5=1? A F1(1,0); F2(-1,0) B F1(3,0);…

A: The given equation is: x25+y24=1                               (1) Equation (1) is compared with the…

Q: Find the distance between the parallel planes – 2x + y + z = 0 and бх — Зу — 32 -13 — 0. %3D

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Q: Find the distance between the parallel planes P and P2 P: 2x-y+ 3z 6 = 0 P2: 6x - 3y+9z+ 6 = 0 8 *…

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Q: Suppose you start at the origin, move along the x-axis a distance of 6 units in the positive…

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Q: Find symmetric equations for the line of intersection of the planes. 2 3x - y - 7, 2- Sx + 2y - 8 O…

A: Given:- Planes 1 z= 3x-y-z-7 Plane 2 z=5x+2y-8 To find:- Find symmetric equations for the line of…

Q: Find the coordinates of the midpoint of HX 3 H 5- 2. 2- The coordinates of the midpoint of HX are…

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

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Q: Q1-)A-) Find the distance from the point (0 ,1,1) to the line of intersection of the planes : x + 2y…

A: To find the distance from the point 0,1,1 to the line of intersection of the planes:…

Q: Find the point on the sphere x2+y2+z²=900 that is farthest from the point (14,-5,-1).

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Find the distance between the parallel planes 2x +y + z = 0 and - 6x – 3y-3z – 13 = 0. | NOTE: Enter…

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Q: Find the point where the line x=8+2t,y=-2t ,z=1+t intersects the plane 3x+2 y+6 z=6.

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Q: Find the coordinates of all points (x, y) that lie on the line whose equation is 2x + y = 8, so that…

A: If point x,y on the line and it is corner of the rectangle. Then, area of rectangle=xy But we have…

Q: Find the equation of the plane that contains the line x-y+z=2 , x+y+2z=D4 and the line 1= = 2-7

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Q: V) through (-1,2) and perpendicular to 3x+ 4y = 12

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Q: Find the point on the sphere x2+y2+z²=529 that is farthest from the point (-7,-11,-29).

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Q: Q1-)A-) Find the distance from the point (0 ,1,1) to the line of intersection of the planes : x + 2y…

A: Use equation of plane

Q: Find the real number ( B) such that the line of symmetric equations ( x – 3 == ) is parallel to the…

A:

Q: find the engle of intersection between 2x - 4y + 4z = 7 and 6x + 2y – 3z = 2 .

A: Consider the given planes: 2x-4y+4z=7So,n1→=2,-4,46x+2y-3z=2So,n2→=6,2,-3

Q: A Find the Distance from the point (2,-6) to the line 3x+ 4y t6=0 B Find the distance between the…

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Q: Find the intersection of the line and plane: 2x + 4y – 3z = 19, r(t) = (-2, 1, –1) +t (1, –1,2)

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Q: Find an equation of the plane through (-8, –4, –5) that is 2 = t, y + 3 | perpendicular to the line…

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Q: find √x² ds along the line of intersection of the two planes X-Y+z = 0 and x+y+ 2z =0, From origin…

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Q: Find symmetric equations for the line of intersection of the planes. 4x — 2у — 2z %3 0, 2x + y + z =…

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is

Q: 23. M is the midpoint of RS, RM = 3x + 1 and MS = 4x -2. What is RS? %3D %3D

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Q: Find the area of a triangle formed by the lines 2x + 3y = 24, I- 2y = -9 and the y-axis. O 21/2 sq.…

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Q: Find an equation of the sphere concentric with the sphere x^2 + y^2 + z^2 + 4x + 2y − 6z + 10 = 0…

A: Topic = Geometry

Q: Find the distance between the parallel planes P1: 2x – y+2z + 6 = 0 and P2: 6x - 3y+ 6z – 18 = 0 3y…

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Q: Solve for the linear equation of the plane through the point (1,9,10)(1,9,10) and parallel to the…

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Q: Find the coordinates of the midpoint of MN with endpoints M(-2, 6) and N(8, 0).

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Q: Which point(s) lie in the plane 2x + 3y + 4z = 24? a) (0, 0, 6) c) (4, 4, 1) b) (0, 3, 4) d) (-2, 6,…

A: Given: 2x+3y+4z=24 For finding which point lie on given equation of plane, we put each point on…

Q: Find the coordinates of the intersection point of the lines x_1 + 3x_2 = 3 and −2x_1 + 4x_2 = 1 in…

A: Solved below

Q: Enclosed by the cylinders z= x2 y = x 2 and the planes  z =0 y =4

A: Given: The cylinders z= x2 y = x 2 and the planes  z =0 y =4 The solid enclosed by the surfaces,

Q: he cylinder x² + y² = 2y and the plane

A: Shift cylinder at origine as centre

Q: Which equation represents the perpendicular bisector of AB whose endpoints are A(3,6) and B(- 5,2)?…

A: NOTE: Refresh your page if you can't see any equations. . given points are the slope of the line…

Q: Find the equation of the line of intersection of the planes 2x+y-2z = 1 and x+2y-z = 4.

A: Planes are 3-dimensional spaces, that contains infinite lines. When two non-parallel planes…

Q: Find the equation of the line of intersection of the planes: x+y+z=1, 2x+y-z=2

A: Given the two planes :   P: x+y+z=1   Q: 2x+y-z=2

Q: Q2 / A man moved from the point (2, -2, 1) to the point (8, 3, 4). Express the displacement moved by…

A: The given point is                    P1 (2, -2, 1)  and  P2 (8, 3, 4) To find displacement in terms…

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: Trapezoid with Midsegment 3x+2 Perimeter = %3D 2x+4 12 16 2x+1

A: Given: In trapezoid ABCD, AB || CD and EF is the mid-segment.

Q: Find the point on the plane x – 3 y – 2 z = 14 that is closest to the point (0, 3, 3) .

A: We have the plane x-3y-2z=14 The normal vector to a plane ax+by+cz=d is a,b,c Hence, the normal…

Q: 4] Find the equation of the plane that contains the point (а, 0, 0), (0, b, 0) and (0, 0, c).

A: First find two vector and then take cross product which is normal vector  Now use equation of plane

Q: Find the equation of the line perpendicular to the plane x−2y +z = 4 passing through the point (1, 0

A: We have to find equation

Q: Find the area of a triangle formed by the lines 2a + 3y = 24. x - 2y = -9 and the y-axis. O 63 sq.…

A: Given the equation of the lines2x+3y=24, x-2y=-9 formed a triangle. The formula for the area of the…