Find the area of the triangle with vertices P(1, 5, -2), Q(1, -1, 0), R(3, 5, 1)

Q: A quadrilateral has coordinates R(-5,2),S(-1,3), T(-2,–1) and U(-6,– 2). Verify algebraically, that…

A: Let X be mid point of R(-5,2) and S(-1,3) ∴Coordinate of X is -5-12,2+32…

Q: find the orhtocenter of triangle JKL with vertices J(3,6), K(3,-9), and L(-5,-5).    please show…

A: We have to find the orthocenter of triangle JKL with vertices J(3,6), K(3,-9), and L(-5,-5) In the…

Q: Find the perimeter of a triangle with vertices S(4,5), T(-2,-3) and W(5,-4).

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Q: Sketch the triangle with vertices O, P = (0,7,2) and Q = (5,0,4) and compute its area using cross…

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Q: Find the image of the unit cube with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0), (0, 0, 1),…

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Q: Find the area of the hyperbolic (geodesic) triangle with vertices (3,0), (4,0) and (5,0).

A: Let P(3,0), Q(4,0) and R(5,0) be three vertices.  It is known that the equation of hyperbolic line…

Q: 2rydA, where D is the triangular region with vertices (0,0), (1, 2) and (0,3)

A: Dear Learner, We expert are following bartleby expert guidelines to answer the questions posted by…

Q: Find the area of the parallelogram with vertices (1, 1, 1), (–6, 4, 1), (5, 3, 4), and (–2, 6, 4).

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Q: The area of the triangle with vertices V141 P (1, 5, 2), Q (0, 0, 0), R (3, 5, 1) is

A: Here, PQ = <-1, -5, -2> and QR = <3, 5, 1>. Now,         -1-5-2×351=-5· 1--2· 5-2· 3--1·…

Q: Square RSTU has vertices R(-3,4), S(8, 4), T(8, –7), and U(-3, -7). What is its perimeter?

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Q: 2) Find the area of triangular ABC of points (4,6,12), (2,7,6) and (-2,5,6).

A: From the given data:

Q: Find the area of the triangle with vertices: Q (5,-5,0), R (5, -7, 2), and S (6, -2, 1)

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Q: Find the area of the triangle having vertices at (−2,3,1),(1,2,3) and (3,−1,2)

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Q: (b) Determine the area of the triangle whose vertices are (1,1.2), (-1/2,0,2.5), and (3/3,2,3/2)by…

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Q: Find the area of the triangle with vertices P(1,4,-3), Q(0,0,0), and R(2, 4, 1). Enter the exact…

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Q: A rectangle has vertices (6, 4), (2, 4), (6, –2), and (2,–2). What are the coordinates of the…

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Q: A rectangle has vertices (6, 4), (2, 4), (6, –2), and (2, –2). What are the coordinates of the…

A: Note: Dilation with Center at Origin, (0,0): DO, k(x, y)=(kx, ky), O=center of dilation at (0, 0);…

Q: Find the area of the triangle P QR with vertices P (1, 1, 0), Q(7, 1, 0) and R(9, 4, 2). (Your work…

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Q: A triangle has vertices  (0, 0, 0), (1, 1, 1),  and  (0, −4, 5).  Find its area.

A: Consider the triangle with vertices (0, 0, 0), (1, 1, 1) and (0, -4, 5)Let  A(0, 0, 0), B(1, 1, 1)…

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

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Q: Find the area of the triangle with vertices P(1, 0, 7), Q(0, 6, 7), and R(1, 4, 0).

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Q: A trapezoid has vertices located at the points: A(-2.3, 5), в(4.8, 5), с(4.8, —2.2), D(-2.3, –3.3).…

A: Use distance formula to find length            d=(x2-x1)2+(y2-y1)2

Q: :) Find the area of the pentagon with vertices (0, 0), (4, 1), (1, 3), (0, 2), and (-1, 1).

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Q: Find the area of the triangle with vertices: Q(4,-1,4), R(6,0,6), S(8,-4,7).

A: To find  The area of a traingle with vertices.

Q: Find the area of the triangle with vertices (0,0,0), (4,-4,1), and (4,-3,0)

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Q: Use the dot proquct to find the largest interior angle of the triangle with vertices P(-1,2,3),…

A: We have given vertices of the triangle as P-1, 2, 3, Q1, 2, 1 and R2, 2, 1. First, we have to find…

Q: The area of the triangle formed by the vertices (2, −1, −1); (1, 1, −2) and (−3, 2, −2) is:

A: NOTE: Refresh your page if you can't see any equations. . . .

Q: A quadrilateral has the following vertices given:  P1 (1, 4), P2 (3, 4), P3 (3, 6), P4 (1, 6).  The…

A: Given points are :  P1(1,4) , P2(3,4) , P3(3,6) , P4(1,6). We will first plot those points in a…

Q: Find the perimeter of rectangle WXYZ with coordinates W(3,7), X (3,-1), Y(6,-1), and Z(6,7).

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Q: 2. Find the area of the parallelogram that has two adjacent sides u and u. ū = (8, 2, -3) = (2,…

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Q: Find the centroid of the triangle if the vertices are  (0,0) , (4,0) and (0,6)

A: Given points are         0,0,4,0,&0,6      And centriod G ?      centriod G= x1+x2+x33…

Q: A triangle is formed by the vertices A(3, 2, -1), B(-2, 2, 3,) and C(1, 0, 2). Determine the area of…

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Q: Find the area of the triangle having the given vertices. (3, 2), (4, 2), (-2, 6)

A: Answer

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: Vertices of triangle are A(-9 , -6) , B(-5 , 0) and C(10,-7)Perimeter of triangle ABC = Sum of all…

Q: Find the area of the triangle with vertices (0,4), (-8,0) and (-1,-4)

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Q: The triangle with vertices A(0, 1, 2), B(-1,0,2) and C(1,-2,0) has area = (ii)

A: A(0,1,2) B(-1,0,2) C(1,-2,0)

Q: 5.) Find the area of the triangle whose vertices are at A (-2,3), B (6, -6), C (8,0)

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Q: Find the area of the triangle with vertices (2, 1, 5), (–1, 3, 4), and (3, 0, 6).

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Q: Farmula for area of triangle with vertices at (0,0) ,(a1,a2)  and (b1,b2)

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Q: Let Q be the quadrilateral with vertices (-2,3), (1,4), (3,0), and (-1,–3). Find the area of Q

A: Consider a quadrilateral Q with vertices  A−2,3,B1,4,C3,0 and D−1,−3

Q: Find the area of the triangle having vertices at (-2, 3, 1). (1, 2, 3), and (3,-1, 2).

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Q: Find the area of the parallelogram with vertices at (3, –3), (11, 1), (12,-5), and (20, –1). Area =

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Q: Find the area of the parallelogram with vertices K(2, 1, 2), L(2, 4, 4), M(4, 8, 4), and (4, 5, 2).

A: In this problem since the coordinates of vertices given in 3 dimension. We will use the vector…

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: Given The vertices of the triangle are (8, 2), (4, -5), (3, -8) . Perimeter definition: Perimeter is…

Q: Find the area of the pentagon with vertices (0, 0), (2, 1), (1, 3), (0, 2) and  (-1, 1)

A: Find the area of the pentagon with vertices (0, 0), (2, 1), (1, 3), (0, 2) and  (-1, 1)

Q: A rectangle has a vertex at J(2, 2), H(4, −2), and G(−2, −5). What are the coordinates of the fourth…

A: You know that the diagonals of a rectangle bisect each other.

Q: Find the area of the triangle with the given vertices. (Hint: 1lu x v|| A(0, 0, 0), B(1, 0, 3),…

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Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: The diagram of the triangle with vertices A=(2, 7), B=(5, -10), C=(1, -5) on the coordinate axes is…

Q: Find the  area of the triangle with vertices P(1,3,5) Q(-1,4,-4) and  R(1,5,4)

A: P1,3,5 Q=-1,4,-4  R1,5,4PQ=OQ-OP     =-i∧+4j∧-4k∧-i∧-3j∧-5k∧PQ=-2i∧+j∧-9k∧PR=OR-OP     =i∧…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.