farctan dxdy R: x+y= 1 ; x+y -4; y=x ;y= /3x in the first quadrant a) R: Is the parallelogram of vertices A-(0,0) , B-(6,2) ;C-(10,5) ; D=(4,3) b) xdxdy

Q: ax + by + cz + d, = 0 13) Show that the distance between the parallel planes: and ax + by + cz + dz…

A: here we have to prove the formula of distance between 2 parallel planes.

Q: nd the distance from the point to the plane.   (3,3,8)​, 7y+3

A: Given, the equation of plane is                                       7y+3z=0and  point (3, 3, 8)

Q: 3. Rectangle PORS with vertices P(5, 15). Q(15, 15). R(15, 10), and S(5, 10): A- 4/5 4. Rhombus WXYZ…

A: Plot the given points and its scaled version

Q: Describe the triangle ( AXYZ, not shown) as scalene, isosceles, or equi Here is the given…

A: we have to identify which triangle is

Q: Evaluate the line integral along the given path(s).

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Find the angles between the planes x + y = 1, 2x + y - 2z = 2

A:

Q: 4. Rhombus WXIZ with vertices W(1,5), X(6, 3), Y(1, 1), and Z(-4, 3): x-ads

A: Given that: The vertices of a rhombus are: W(1,5), X(6,3),Y(1,1), Z(-4,3)

Q: Rhombus WXYZ with vertices W(1, 5), X(6, 3),Y(1, 1), and Z(-4, 3) in the x-axis W'

A:

Q: 22.foci F(-9,0), F(9,0) and vertices V,(-13,0),V,(13,0)

A:

Q: . Parallelogram JKLM with vertices J(-1, 8), K(5, 6), L(7, -2), and M(1, 0); scale factor: k = 2,…

A:

Q: F = (-3y, 3x); R is the triangle with vertices (0, 0), (1, 0), and (0, 2).

A:

Q: Find the distance from the point to the plane. (2,5,6), у + 6z%30 The distance is

A:

Q: (b) Find the area of a triangle with the points A(1,0, 0), B(0,1,0), C(0,0, 1) as it vertices by…

A: (b) We have to find area of triangle with the points A1,0,0 , B0,1,0 and C0,0,1 by using cross…

Q: 4. Rhombus WXYZ with vertices W(1, 5), X(6, 3), Y(1, 1), and Z(-4, 3): x-axis

A: Given vertices are: W (1,5)X (6,3)Y (1,1)Z (-4, 3)

Q: Which point(s) lie in the plane 2x + y - z = 10? a) (0, 0, 10) c) (2, 4, - 2) b) (5, 3, - 3) d) (-3,…

A: Given:plane: 2x+y-z=10

Q: How do you solve for square roots in fractions? Im suppose to solve the midpoint of the line joining…

A: Given formula is M = (x1 + x2)/2

Q: 1. Rhombus ABCD with vertices A(-3, -2), B(0, 3), C(5, 6), and D(2, 1): (x, y)- (x+2, y-6)

A: In Rhombus, A=(-3,-2)B=(0,3)C=(5,6)D=(2,1)

Q: Parallelogram JKLM has vertices J (0,0), K(2,2), L(x,y), and M (5,0). Find (x,y).

A: Given vertices of parallelogram are J(0,0),K(2,2),L(x,y),M(5,,0)

Q: At what point does the plane through A = (1,0, 0), B = (2,1, 1), and C = (-1,3, 4) cross the y axis?…

A:

Q: 9. Sketch the triangle in the coordinate plane whose vertices are (0,-2), (2, 3). and (4,-2). Find…

A:

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: 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…

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: 3. Rhombus KLMN with vertices K(-3, 2), L(1, 4), M(-1,0), and N(-5, -2): (x, y) → (x, y- 5) 4. Re…

A: First we draw Rhombus KLMN and then Draw Rhombus K'L'M'N' .

Q: Q2/ Find the area of the parallelogram of the plane of P(0,-2,3), Q(-1 , 2, 1) and C(3,3,0) where P…

A:

Q: Find the distance from the point Q= (2,2,2) to the line of intersection of the planes x+y+z=1 and…

A: Distance from the point Q(2,2,2) to the line of intersection of planes x + y + z = 1 and x + y = 2

Q: Find the point at which the line meets the plane. x= -3+5t, y= -2+4t, z 3t, x+y+z= -5 The point is…

A:

Q: 3. PQ lies in the standard (x, y) coordinate plane. What are the coordinates of the midpint of PQ if…

A:

Q: 4. Rhombus WXYZ with vertices W(-2, -4), X(1,-2), Y(4, -4), and Z(1,-6):x-axis W: Y: X': Z':

A:

Q: Find the distance the point P(2,0,1) is form the plane 3x – 6y + 2z = 15. -

A:

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: 1. Rhombus ABCD with vertices A(-3, -2), B(0, 3) C(5, 6), and D(2, 1): (x, y) → (x + 2, y-6) A'L B'…

A: The given coordinates of rhombus is  A-3,-2, B0,3, C5,6, D2,1 The transformation is x,y→x+2,y-6 So…

Q: The vertices of parallelogram ABCD are A(-1,6), B(5,6), C(3, -2) and D(-3,-2). The diagonals of…

A: We will find the coordinates of P as following.

Q: Find the distance from the point to the plane. (10,10,5), 9y + 2z = 0 The distance is 0

A:

Q: e find aplane through Po (2,,,-1) and Perpendicular to the line of Intersection of the planes…

A: Equation of plane

Q: three vertices of parallelogram MNPQ are M(-1,1), N (2,3), and P(4,1). plot points M, N , P , Q in…

A:

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: rhombus has vertices A (11, 6), B (6, 6), C (−2, 2) and D (x, y). What are the  coordinates of D?

A:

Q: Find the distance the point P(2,0, 1) is form the plane 3x - 6y + 2z = 15.

A: we have to find the distance , the point p(2, 0, 1)is form the plane 3x-6y+2z = 15 i.e 3x-6y+2z-15 =…

Q: 2. Center: (2, -1) Focus: (2, -31) Vertex: (2, 23) (v+1)° ¸ (x-2)² [A] = 1 576 324 (y+1) _ (x-2)*.…

A:

Q: Quadrilateral JOSH has points J(2,8) O (5,10) S( 4,4) H ( 7,6): (x,y) -- (x +2, y- 5)ldentify the…

A: Given ,  Quadrilateral JOSH has points J(2 , 8) ; O(5 , 10) ; S(4 , 4) ; H(7 , 6)  (x , y) → (x + 2…

Q: Parametrize the line segment joining the points P(-3, 2, -3) and Q(1, -1, 4)

A: we have to parametrize the line segment joining the points P(-3,2,-3) and Q(1,-1,4)   as we know…

Q: Let P be the parallelogram in the plane with vertices (0,0), (1,2), (1, 1), and (2, 3). Find SSp¤…

A: We need to find integral.

Q: Parallelogram CDEF has vertices C(-4, -4), D(-2, 0), E(6, 2) and F(4, -2). What is the ordered pair…

A: Parallelogram CDEF has vertices C(-4, -4), D(-2, 0), E(6, 2) and F(4, -2). What is the ordered pair…

Q: Find the point at which the line meets the plane. x = - 3 + 5t, y = 3+ 6t, z = - 2 + 3t; x + y +z =…

A: Given ; Line meets plane = ?   x = -3 + 5t   y = 3 + 6t   z = -2 + 3t   Plane;        x + y + z =…

Q: Find the distance from the point (-2, 1, 4) to the plane y = -5

A: Given plane is: y = -5 Given point is: (-2, 1, 4) We know that the distance (d) of a point P(h, j,…

Q: Find the distance from the point to the plane. (7,3,6), 10y +z= 0 The distance is

A: Given query is to find the distance between the point and the plane.

Q: Graph the plane: II = {(a + B,a + Y, B + y)[ a, ß, y ER, a + ß + y = 1}

A: To graph the below plane. α+β,α+γ,β+γ|α,β,γ∈ℝ,α+β+γ=1