Prove that every Latin rectangle can be extended to a Latin square

Q: C: rectangle with vertices (0, 0), (2, 0), (2, 3), and (0, 3)

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Q: Find the area of the triangle whose vertices are A(-6, 0), B(10, -5), C(-2, 4)

A: We know that the area of a triangle ABC with vertices Ax1,y1, Bx2,y2, Cx3,y3 is:…

Q: Find the area of the triangle whose vertices are A(-1, -1), B(3, 3), C(2, 1)

A: Given: Find the area of the triangle whose vertices are A(-1, -1), B(3, 3), C(2, 1)

Q: Can 2 diagonals in cube ever be mapped on to a single diagonal?  No, why?

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Q: complete the square of each quadratic expression. Then graph each function using the technique of…

A: given f(x) = -3x2-12x-17we can rewirte the equation as=-3x2-12x-12-5=-3(x2+4x+4)-5f(x)=-3(x+2)2-5

Q: Give an example to show that the graph of a quadratic function is a parabola?

A: we have to give an example to show that the graph of a quadratic function is a parabola.

Q: Prove that A 12 is diagonalizable. -.

A: step 2 complete solution

Q: The diagram shows a conve

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Q: Use optimization techniques to answer the question. Find the area of the largest rectangle that fits…

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Q: complete the square of each quadratic expression. Then graph each function using the technique of…

A: Complete the square using the identity a+b2=a2+2ab+b2.

Q: Find the perimeter and area of the rectangle with vertices

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Q: Find the area of the triangle whose vertices are PU,3P), 9L40,3) +

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Q: find the vertex and standard form

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Q: is (x + 8)2  a perfect square

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Q: how to get vertex form and using an example of y=(x-2)(x+8)

A: We can convert it into vertex form .

Q: find the vertex 4==.28x2-1LOX+2.1

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Q: Vertex

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Q: Find the area of a triangle whose vertices are (2,1), (3,-4) and (6,-4).

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Q: The converse of the Pythagorean theorem is also a true statement: If the sum of the squares of the…

A: We know that the square of distance between two points (x1,y1) and (x2,y2) is (x2-x1)^2+(y2-y1)^2…

Q: The coordinates of the four vertices of a rectangle are (1, -1), (4, -1), (4, 1), and (1, 1). The…

A: We have to find out the area of given rectangle.

Q: A farmer has 240240 feet of fence to enclose a rectangular area. What dimensions for the rectangle…

A: Let a and b (in feet ) be the length and width of the rectangle enclosed by the fence . Then…

Q: Find a quadratic model to represent the path of a javelin. Use a calculator to find the model. At…

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Q: snip

A: Degree of polynomial is the highest power that the polynomial has. Leading coefficient is the…

Q: Every rectangle is a square. True or false.

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Q: 7. Find the perimeter of the figure whose vertices are the midpoints of a quadrilateral with…

A: Distance formula -  √[(x2-x1)2+(y2-y1)2]  Mid point formula -  ( (x2-x1)/2 , (y2-y1)/2 )

Q: In Exercises 85–88, find the vertex for each parabola. Then determine a reasonable viewing rectangle…

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

Q: The speed of a supersonic aircraft is usually represented by a Mach number, named after Austrian…

A: Given- sinθ2=1M To find- The value of mach number M , for θ=π6.

Q: Give a “real world” example of a situation where the infinite sum of a geometric pattern is equal to…

A: A real-world example of a situation where the infinite sum of the geometric pattern is equal to one.

Q: Consider the rectangle inscribed in a right triangle, in such a way that the rectangle sits in the…

A: Let, ABC be the right angled triangle with ∠C=90°, as shown in figure with rectangle DEFC…

Q: A parallelogram has both pairs of opposite sides equal. True or false?

A: Since we know that a parallelogram has a pairs of opposite sides equal and parallel

Q: Help with this?

A: Take out -2 common from the x2  term and then complete the square

Q: What is the application of geometry in real life?

A: Aapplication of geometry in real life

Q: A gardener is building a garden shaped like a rectangle. If he has 100 meters of fencing to go…

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Q: The vertices of a rectangle are located at (1, 2), (5, 0), (2, -6) and (-2, -4). What is the area of…

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Q: Find the area of a triangle whose vertices are at (0,0), (10,-25)and (28,-20).

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Q: Solve and graph. x - 2 > 4 or x - 2 < - 5, D = {Reals} %3D

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Q: diagram of a playground is shown. the edges of the playground meet at right angles except for the…

A: our objective is to find the area of playground.

Q: The image below shows a sequence of transformations that were applied quadrilateral ABCD, and…

A: Given that:

Q: 4. Write a quadratic function whose graph has a vertex of (1, 2).

A: To find the quadratic function

Q: 10 11 16 15 14 13 12

A: square forming

Q: a) Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

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Q: 3-97. Complete the square to rewrite y=x²-6x+7 in graphing form and state the vertex.

A: We compare y=x2-6x+7 with y=ax2+bx+cSo, a=1, b=-6, c=7We will have to add and subtract…

Q: 33. The diagonals of a parallelogram bisect each other.

A: 33)

Q: In mathematics, a row is referred to as a tuple. Can you explain this?

A: Tuple is defined as a finite ordered list of elements.

Q: Find the missing dimension

A:

Q: find the dimensions

A: Let 'r' and 'h' be the radius and height of the cylindrical soda can. Consider the formula for…

Q: Find the dimensions of a rectangle of maximum area having a perimeter of 36 feet

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Q: A pigeon coop has 21 homes for pigeons, arranged in a 3x7 rectangle. Some homes may have pigeons in…

A: We are given :A pigeon coop has 21 homes for pigeons, arranged in a 3×7 rectangle. All the  4…

Q: The graph of quadratic parent

A: The graph of function g is equal to f when shifted 3 units right side and 1 unit upwards in function…

Q: A farmer wants to fence a rectangular pasture next to a river. The pasture must contain 245,000…

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