-) Find the distance between the point and the plane. (0, 0,0) a. + Z = 28 4x +7y+z = 28 b. Verify that the two planes are parallel, and find the distance the planes. ( Raund answer to three decimal places 3x -5z = 5 3X-5z =3

Q: Determine whether the planes are parallel, orthogonal, or neither. 4x – 20y – 4z = 4 3x – 15y – 3z =…

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Q: 3. Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle…

A:

Q: Given plane z: 3x+2y+z-3=0, point P(1, -2, 3), and lines 1₁:an 4₂: (3, 6,-5)+(2, 3, 1), find: d) the…

A:

Q: You are given the following points: A=(−9,−11,19), B=(20,0,−4),C=(10,−11,−23). Which point is…

A: We need to find distance.

Q: Considering only the 4-point planes that are drawn in the figure below, which point does NOT share a…

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Q: 4. Determine whether the planes are parallel, perpendicular, or nether. If neither, find the angle…

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Q: If the plane ar + by + cz = 30 through the points P(4, 1, 2) and Q(2, 3, – 1) is orthogonal to the…

A: Given plane passing through the given point P and Q

Q: Find an equation of the plane containing the points A = (1,0,2), B= (– 1,1,2),C=(5,0,3).

A:

Q: You are given the following points: A = (11, –14, –16), B = (16,0, 5), C = (-9, 16, 13). Which point…

A: Answer

Q: Find the distance from the point A(2,4,3) to the plane determined by the three points B(1,4,2),…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 8x - 7y + z = 7 x + 2y + 6z = 1 O…

A:

Q: You are given the following points: A = (11,20, –-18), B= (19,0,3), C =(-7,10,14). Which point is…

A:

Q: a) Show that the shortest distance between the point (a, b, c) and the plane Ax + By + Cz + D = 0 is…

A: Part(a): Given, The point is a,b,c  And, the plane is, Ax+By+cZ+D=0

Q: Perpendicular to i = 2ỉ - 33 + 5k and through (4, 5, –2).

A: Here is the solution of the given problem. Co-ordinate Geometry 3D - Plane.

Q: Find the equations of planes that just touch the sphere (r- 1)² + (y– 5)² + (z - 4)² = 25 and are…

A: Given : Equation of sphere (x - 1)² + (y - 5)² + (z - 4)² = 25

Q: Determine whether the planes are parallel, orthogonal, or neither. 7х — 5у + z %3D 5 х+ Зу + 8z 3D 1…

A:

Q: Consider the points ?(1, 2, 3), ?(3, 0, 4) and ?(4, − 2, 3).   A. Find area of the triangle created…

A: Using cross product we find the area of triangle

Q: 1. Consider the planes P and Q given as 2x- 3y +2 = 3 and 4x- 6y + 22 = 5. Are P and Q parallel?…

A:

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: Determine whether the planes are parallel, orthogonal, or neither. 9x – 8y + z = 6 x + 2y + 7z = 1 O…

A:

Q: 4-) Find the a Cute augle between the liue joning the two Points AC42,3),B(5,1,7) , and the Plane…

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Q: 5) Find the distance from D to the plane containing A, B, and C NOTE: Enter the exact answer.…

A:

Q: 4. Determine whether the planes are parallel, perpendicular, or nether. If neither, find the angle…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 9x - 2y + z = 3 x + 7y + 5z = 1 O…

A: We have to find the angle between the given planes which is equal to the angle between normals to…

Q: Determine whether the planes are parallel, orthogonal, or neither. 8x - 5y +z = 6 x + 3y + 7z = 1 O…

A: We can solve the given problem as follows:

Q: Give two other names for CD. Give another name for plane M. Name three points that are collinear.…

A: Note : As per our guidelines we are supposed to answer only one question. Since you have asked…

Q: You are given the following points: A = (-4, 5, 16), B = (-17,0, 3), C = (5, –6, – 20). Which point…

A: 3D coordinate

Q: 3 2. Dilation of - for AABC AJVL about the origin, 3. 2. then (x, y) (x - 0.5, y + 4.5)2. C. ДАВС.…

A:

Q: 2. Do the two planes intersect? If they do, where do they intersect? TT 2x - y + z = 1 = 0 3 TT 4 x…

A: Equation of the line perpendicular to the given plane be n1 & n2 . Now here n1≠ k n2  , where k…

Q: (a) Describe the line through P and Q via general (Cartesian) equation(s). (b) Give an equation for…

A: The equation of a line passing through the points x1, y1, z1 and x2 , y2 , z2 can be defined by the…

Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y – 2z = 5 4x - 20y - 4z =…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 4x – 2y + z = 3 x + 5y + 6z = 1 -…

A:

Q: The coordinates of the points O, A and B of the plane are (0.0), (0.20) and (300.0), respectively. A…

A:

Q: The general equation of the plane that containsteh points (1,0,3),(-1,1,-3)and the origin is of the…

A: Given general equation of plane is

Q: Given the following line and plane: 1 1 +t. qE R; Plane: I - y +z = 1 Line: 4 3 Determine whether…

A: We have to check weather the line intersects the plane. If they doesn't intersect then we need to…

Q: Find a plane that contains S and is perpendicular to the plane that contains the points

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Q: Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(−1, −2, −3) &…

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

Q: Determine whether the planes 2x − z = 1, 4x + y + 8z = 10 are parallel, orthogonal, or neither. If…

A: 2x-z=1,  4x+y+8z=10 Now comparing with a1x+b1y+c1z=d1  &  a2x+b2y+c2z=d2, we get a1=2, b1=0,…

Q: Prove that the perpendicular distance from the point P(xo, Yo, 20) to the plane with equation ar +…

A: Here we use the distance formula between two points.

Q: The plane can perpendicular to the a) x-axis at (3, 0, 0) b) z-axis at (0, 0, -2) c) y-axis at (0,…

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Q: Determine whether the planes are parallel, orthogonal, or neither. бх — 5y + z %3D4 x + 2y + 4z = 1…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 2x – 10y - 2z = 6 4x – 20y – 4z =…

A: To determine whether the below planes are parallel, orthogonal, or neither. 2x−10y−2z=64x−20y−4z=−3

Q: Two automobiles are driving on a plane. The first automobile is moving north at 10 m/s and rising 5…

A: Let's consider North as +ve y-axis, East as +ve x-axis, and upward motion to be +ve z-axis. Now, the…

Q: Consider the points P = (3, 2, 1) and Q = (1, 2, 3) in R3. (1) What is the equation of the sphere…

A: Answer

Q: Determine whether the planes are parallel, orthogonal, or neither. 9x - 3y + z = 4 x + 4y + 3z = 1 O…

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.