Rectangle DEFG is shown in the Cartesian plane below. у (ст) E D y==x+25 F(25,6) x (ст) G The rule for DE is y==x+25. What are the coordinates of point E? (19,21) (16,30) (15,31) (17,26)

Q: The coordinates of the points O, A and B of the plane are (0, 0), (0, 12) and (108, 0),…

A: The coordinates of the points O, A and B of the plane are (0, 0), (0, 12) and (108, 0),…

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

A: We need to calculate the distance between the point Q3,1,7 and the plane 2x-6y-z=3 without using the…

Q: 6. Find the intersection of the line / and the plane . 1:7=(4,-1,4) +t(5,-2,3) x: 2x+5y+z+2=0

A: Given is the equation of line as l:r→=(4,-1,4)+t(5,-2,3) Equation of plane as π: 2x+5y+z+2=0 First…

Q: The planes with the equations x + 3z = 12 and y - 5z = 10 intersect in a line. Find the equation for…

A: The plane equations x+3z=12  and  y-5z=10

Q: The coordinates of points A and B are A(4, -2) and B(12, 10). What are the coordinates of the point…

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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: (a) Plot and label the following points in the Cartesian coordinate system: A = (-2,3), B =…

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Q: 4. -6 -5 -4 -3 -2 -2 -5- -6- Give the coordinates of another point so the two points are symmetric…

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Q: Point A lies on the x-axis. If the midpoint between (-9, 32) and point A lies on the y-axis, what…

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Q: 3 > Find a plane containing the point (-2,7,-7) and the line 7 (t) = +t < 3, 8, Check Answer

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Q: n Exercises 39–41, find the distance from the point to the plane. 39. (2, 2, 3), 2x + y + 2z = 4 40.…

A: Given:

Q: Suppose you start at the origin, move along the x-axis a distance of 7 units in the positive…

A: To determine: The coordinates of the position when starts at the origin and move along the x-axis a…

Q: Find an equation of the plane passing through the three points given P = (8,6,9), Q = (11, 12, 17),…

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Q: Find an equation of the plane with the characteristics. The plane contains the y-axis and makes an…

A: To find the angle of normal vector θ, add π6 and π2 and calculate the values of cosine and sine of…

Q: Find an equation of the plane. The plane that passes through the point  (−2, 1, 3)  and contains…

A: Question : Find an equation of the plane.   The plane that passes through the point  (−2, 1, 3)  and…

Q: Find an equation for the plane that contains the line v = (-1,2,7) + t(3,2, 4) and is perpendicular…

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Q: 9. A rhombus is drawn in the standard xy-coordinate plane. The line 2x+y= 4 includes one of the…

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Q: Solve P(-3,-5) and Q(1,-3) represent points in a coordinate plane. Find the midpoint of PQ.

A: We have to find the midpoint of the PQ where P-3,-5 and Q1,-3 represents points in a coordinates…

Q: Find an equation for the plane that contains the line v = (-3,4,5) + t(3, 2, 4) and is perpendicular…

A: Given that: Equation of line: v=(-3, 4, 5)+t(3, 2, 4)Equation of plane: 2x+y-3z+4=0

Q: QI/ Determine whether the two planes are parallel or intersecting. Find their line of intersection…

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Q: P(2,3,-1) distance of point X- = y-2 = 2-13 with equetion the line =7 %3D

A: Distance od point from line is 6.

Q: 4. Point C (-5, 4) is reflected over the x-axis. What are the coordinates of C'? O a) (5, 4) O b)…

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Q: 3: One way to try to determine the line of intersection of two planes in 3-space is to find two…

A: The Geometric Idea behind the method is as follows: By putting on dimension equal to zero, the…

Q: Quadrilateral RIYA has vertices R (-2, 3), I (3, 8), Y (4, 1) and A (-1, -4). [The use of the set of…

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Q: Eindequatisf ihe line passer thronghthe Paint (-3,2,-)-and parallelte the lineof intersaction of the…

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Q: (r – 1)? + (y + 2)² + (z – 1)² = 49

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Q: A Square is a rhombus Never Sometimes Always

A: square is quadrilateral with all angles right angle and all sides are equal. Rhombus is…

Q: The coordinates of W and Y in the Cartesian plane are (-7, -4) and (3, 1), respectively. Plot…

A: Let's find.

Q: Write the equation for a sphere centered at the point ( – 1, 7, 6) and the point ( – 7, 7, – 5) is…

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Q: 3. What is the distance from the line to the plane? 7-(2,3,8)+(1.1.1) 2x - 5y + 32 + 10

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Q: 2. The school canteen was built midway between two school buildings. On a school map on a coordinate…

A: Use the mid point formula for the given coordinates.

Q: Find the coordinates of the point. The point is located nine units in front of the yz-plane, eight…

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Q: What is the nature of the intersection of the lines: x=1+3k y=5+2k, kER and i = (4,7,-1) + t(3,2,–…

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Q: Find a plane containing the point (-6,-4,-8) and the line of intersection of the planes - 2x – 2y –…

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

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Q: 7) Which classification (parallelogram, rectangle, rhombus, or square ) best describes the…

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Q: Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4,6), and D(2,2). What are the coordinates of…

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Q: Find the coordinates of the point. The point is located in the yz-plane, seven units to the right…

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Q: A triangle has coordinates A(2, 0), N(7, -1) and T(5, 4). The triangle is reflected over the x-axis.…

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Q: Approximating Coordinate of Points InExercises 9 and 10, approximate the coordinates of thepoints.

A: Approximating the co-ordinate of the given points:                                   The…

Q: ; Write an equation describing each plane. The plane perpendicular to the x-axis at (-8, 0, 0) : ---…

A: Equation of plane

Q: Quadrilateral ABCD has coordinates A(-2, 0), B(0, 4), C(4, 6), and D(2, 2). What are the coordinates…

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Q: You are building a right-angled triangular flower garden along a stream as shown in the figure. (The…

A: As per company guidelines we are supposed to solve one question with at most  3 subparts. solution…

Q: Hello can you please make me two equations of two lines that can not determine a plane and explain…

A: Explanation of the answer is as follows

Q: The planes with the equations x + 3z = 12 and y - 5z = 10 intersect in a line. Find the equation for…

A: The plane equation is x+3z=12 and y-5z=10

Q: The triangle P(1, -4), U(5, 0) and N(2, 1) is reflected over the y-axis. What are the coordinates of…

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Q: 15. In the xy-plane, (-3, 1) and (4, 3) are the endpoints of a diameter of a circle. What are the…

A: Endpoints of diameter are (-3, 1) and (4, 3).

Q: Po (2,1,-1) and perpendicular to the line of Find a plane that passes through intersection of the…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.