In a rectangular grid with corner points (0, 0), (0, m), (n, m) and n, 0), determine the number of paths from (0, 0) to (n, m) if each step in the path is due north or due east.

Q: Find the area of the parallelogram whose vertices are (2,5), (7,6), (10, 10), and (5,9).

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Q: Find the coordinates of the circumcenter of APQR with vertices P(-2,5) , Q(4,1), and R(-2, - 3).

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Q: If possible, use at least two different strategies to determine the number of diagonals of an n-gon.…

A: Let us find the strategies to find the number of diagonals of a n-gon in the next step.

Q: Use slopes to show that the square with vertices at (-2, 5)9, (4, 5), (4, -1), and (-2, -1) has…

A: To show: The diagonals of the square are perpendicular to each other. Given: The vertices of square…

Q: Rectangle MNOP with vertices M(-7,1), N(-4,1), O(-4,-4), and P(-7,-4) in the line y=-x

A: Transform the given rectangle over the line y=-x.

Q: B. Constructing a parallel through a point (rhombus method) Given: PQ and point K

A: Steps:  1) Place the compasses on point K and set its width to a little more than the distance to…

Q: |Find the coordinates of the intersection of the diagonals of paralle with vertices P(2,5), R(3,3),…

A: Follow the procedure given below.

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

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Q: Find the area of the parallelogram whose vertices are listed. (-1,0), (3,7), (7, –2), (11,5)

A: Consider the vertices of the parallelogram ABCD is A=-1,0,B=3,7,C=7,-2,D=11,5

Q: Calculate the area of the parallelogram with the given vertices: (-1,-2), (2,7), (7,2), (10,11).

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Q: Find the area of the parallelogram with vertices P1, P2, P3, P4 P1=(1,3,1), P2=(1,2,3), P3=(0,-2,2)…

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Q: Find the perimeter of the quadrilateral with vertices P (-3, 0), Q (-8, -5), R (-3, –10), and S (1,…

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Q: Find the area of the rectangle ABCD with vertices 4(-3,0), B(3,2), C(4,-1), and D(-2,-3). 3 B(3,2)…

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Q: 9. Square ABCD with vertices A(-7, 5), B(-4, 7), C(-2, 4), and D(-5, 2): 90° counterclockwise 10.…

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Q: Find the area of the parallelogram with vertices A(3,9,8), B(0,5,1), C(-1,-3, -3) and D(2,1,4).

A: We will be using the concept of the area of parallelogram created by two adjacent vectors, a and b.…

Q: Use slopes to show that the square with vertices at (-2, 5), (4, 5), (4, -1), and (-2, -1) has…

A: Given that the four vertices of the square are: A4, 5 ,B-2, 5 ,C-2, -1 and D4, -1   If a line passes…

Q: Derive the system of equation needed for find the four-point Gauss- Legendre quadrature rule.

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Q: Find the area of the parallelogram with vertices K(1, 2, 1), L(1, 5, 2), M(6, 10, 2), and N(6, 7,…

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Q: Find the areas of the parallelograms whose vertices are given A(1, 0), B(0, 1), C(-1, 0), D(0, -1)

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Q: Find the areas of the parallelograms whose vertices are given in Exercises 35–40. 35. A(1, 0), B(0,…

A: Area of parallelogram ABCD is |AB x AD|

Q: Find the area of the parallelogram with vertices (2,2), (4, 6), (9, 11), and (11, 15)

A: calculate the area of parellelogram .

Q: Find the areas of the parallelograms whose vertices are A(1, 0), B(0, 1), C(-1, 0), D(0,-1)

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Q: Find the area of the parallelogram with vertices A(-3, 0), B(-1, 3), (5, 2), and D(3, -1).

A: According to question given that Vertices of parallelogram A=(-3,0)B=(-1,3)C=(5,2)D=(3,-1)

Q: plot the given pair on a cartesian plane {(1,1),(2,4),(3,7),(4,10),(5,13)}

A: The given pair of points are  A(1,1), B(2,4), C(3,7), D(4,10), E(5,13)

Q: Find the area of the parallelogram with vertices P(2, 3, 3), Q(5, 5, 6), R(10, 9, 14), and S(7, 7,…

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Q: Find the are of the parallelogram with vertices P1, P2,P3,P4. P1=(4,1,1) P2 = (4,4,3) P3 = (2,-3,0)…

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Q: Find the areas of the parallelograms whose vertices are given A(-1, 2), B(2, 0), C(7, 1), D(4, 3)

A: Given vertices of the parallelogram are A-1,-2, B2,0, C7,1 & D4,3. Area of parallelogram…

Q: Line segment AB is drawn on the grid with endpoints at A (0,8) and B (6,0). Using a straightedge and…

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Q: Let the vertices of parallelogram MNPQ be the points M(0,0), N(a,0), P(a+b,c), and Q(b,c). Which…

A: Consider a parallelogram MNPQ with vertices  M(0,0), N(a,0), P(a+b,c), and Q(b,c)

Q: Determine the coordinates for the intersection of the diagonals in RSTU with vertices at…

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Q: Find the area of the parallelogram whose vertices are: A(0,0,0) B(5,2,6) C(9,-1,6) D(4,-3,0)

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

A: We know that,The perimeten is equal to the sum of thelenathe of the sides , which can becalculated…

Q: Find the area of the parallelogram with vertices P(1, 3, 2), Q(2, 6, 4), R(4, 12, 12), and S(3, 9,…

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Q: Find the area of the parallelogram with vertices: P(0,0,0), Q(-4,-5,4), R(-4,-3,6), S(-8,-8,10). 0

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Q: Find the area of the parallelogram whose vertices are (0,0), (7,2), (8, 5), and (1,3).

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Q: 6. Rectangle TUVW with verfices N-3,-1), UO,-2). M(-2,-8), and W(-5,-7): 90° counterclockwise

A: Given points T−3,−1,U0,−2,V−2,−8,and W−5,−7 Concept:when coordinatex,yrotated about 90°…

Q: Find the point of intersection of the diagonals of the rhombus with vertices (-1, 2), (3, 4), (5,…

A: We know that diagonals of rhombus are perpendicular bisector of each other. Therefore Midpoint of…

Q: Determine whether the points (-6, 5), (1, 7), and (16, 10) are collinear.

A: Given: -6,5, 1,7  and 16,10 Concept Used: Three points are collinear if area of triangle is zero.…

Q: In the standard (x, y) coordinate plane, if a square has the vertices (-2,-3), (2,–3), and (2,1),…

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Q: Use the cross product to find the area of the parallelogram whose vertices are (0,0,0) , (0,2,1),…

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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 area of the parallelogram with vertices: P (0,0,0), Q (5,-5,0), R (5,-6,1) and S (10,-11,1)

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Q: Find the area of the parallelogram with vertices A(-3, 0), 8(-1, 4), C(6, 3), and D(4,-1).

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Q: Find the area of a parallelogram whose vertices are (- 2, – 3, 2), (2, – 4, 2), (2, 2, 0), and (6,…

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Q: Consider the triangular region in the plane given by the triangle (1, 6), (6, -1), and (1, -4).…

A: See attached file for a step by step explanation.

Q: Determine the ordinate of the third vertex (2,y) of a triangle with an area of 27 and two other…

A: Area of the triangle is 27 and the vertices are -4, 6,  2, -6  &  2, y.

Q: Find the area of the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, –1).

A: Given:- Parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, -1). To find:- Area of…

Q: Find the area of the parallelogram with vertices at (1, -1), (13, −11), (−4, −1), and (8,–11). Area…

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