1)Put the equation y= x^2 -6x into the form y=(x+h)^2 +k

Q: Consider a sheet of metal in the form of a right triangle with base 36 inches and height  20 inches.…

A: Consider a sheet of metal in the form of a right triangle with base 36 inches and height 20 inches…

Q: A rectangle is to be inscribed in a semicircle with radius 3.4 with one side on the semicircle's…

A: According to question.Given,Radius of semicircle = 3.4 unit

Q: A rectangle has an area of 133 cm² and a perimeter of 52 cm. What are its dimensions? Its length is…

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Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not…

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Q: A rectangular picnic area of 8000 m² is being constructed along the edge of a river. It will be…

A: Given the area of rectangular picnic is 8000 m2 is being constructed along the edge of a river. It…

Q: The open-topped box can be created by cutting squares from the four corners of a 20cm by 30cm piece…

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Q: An open box is to be constructed from a square piece of sheet metal by removing a square of side 1…

A: Given,            We know that the height of the box=1ft            The dimensions of the square…

Q: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

A: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

Q: A supermarket employee wants to construct an open-top box from a 14 inches by 30 inches piece of…

A: Use the figure to find the length, width and height for the box. So, the length = (30 – 2x) inches.…

Q: You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape…

A: Given: S=FD2             →(1)   for guard 1 &   S=116            →(2)  for guard 2 To calculate…

Q: You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape…

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Q: A rectangle piece of Metal has a length that is 10 inch longer than its width. Squares with sides 3…

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Q: A page is to contain 54 sq cm. of printed material. If the margins are lcm at the top and bottom and…

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Q: A rectangular pasture is to be fenced along four sides and divided by a fence parallel to two of the…

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

Q: 1. The size of a Tv screen is given by the length of its diagonal. If the dimension of a TV screen…

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Q: 2, i, Find out the roots of the following by completing the square. 5x^2-2x-4-0 ii, Calculate the…

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Q: The top and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of…

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Q: 3. Prove analytically that the sum of the lengths of two sides of a triangle is greater than the…

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Q: 3. A rectangular yard with an existing stonewall on one side is to be fenced off. If the area of the…

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Q: A farmer has 3200 ft of fencing and wants to fence off a rectangular field that borders a straight…

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Q: A poster is to have an area of 180 sq. in. with 1 in. margins at the bottom and sides and a 2 in.…

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Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Let x be the width and y be the length of the rectangle.From the given statement, the three side…

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Given  Total length of the fence=2500 m Letl=length of the plotb=width of the plot

Q: 2. A closed rectangular box that would enclose 36 cubic centimeters is to have a base whose length…

A: Given a closed rectangular box having a volume V=36 cm3 length of the box is twice its width, let…

Q: 2 The altitude of the great Pyramid of Cheops in Egypt originally was 480 ft. and its square base…

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Q: A rectangle has a length 2 m less than twice its width. When 2 m are added to the​ width, the…

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Q: 6. The perimeter of a garden is 20m, its area is 24sq m. What are the dimensions of the garden?

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Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Given length of wire is 700 m. rectangular plot's three sides are bounded by electric fence.

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

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Q: 4. The diagonal of a rectangle is 6 cm longer that its base. Its height is 10 cm more than one-third…

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Q: You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape…

A: Red dot for gaurd 2 =(3,3)

Q: 4. The length of a rectangular box is 3 ft more than its width and the height is 5 ft more than its…

A: Consider a rectangular box with length l, width w and height h. Then the volume of this rectangular…

Q: 4. Find the perimeter of a rectangle whose area is 84 m². The length is 5 m more than its width.

A: Let the length is L and width is b. Given: L=b+5 Area of a rectangle=84m2 As we know that the area…

Q: 4. If the area of a rectangle is (x+5x +6) m² and its width is (x+3) m, what is its length?

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Q: 2. A rectangular dog kennel needs to enclose an area of 33 square feet. Its length must be 5 feet…

A: Use formula of rectangle

Q: How many square units is the area of the region bounded by a parabola y = 4x - x^2 and the lines x =…

A: The equation of the curves are given by C1 : y = 4x-x2 C2 : y = 4 C3 : x =-2 To evaluate : The area…

Q: (a) A farmer intends to fence off a rectangular pen for his pig using his barn as one of the sides.…

A: As per the answering guideline, only one question can be answered at a time. Please repost the other…

Q: A rectangular garden whose length is 4ft longer than its width has an area of 65 sqft. Find the…

A: Given:Area of the rectangular garden is 65 square feet.

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Let a and b be the sides of a retangular fence.

Q: A machine produces open boxes using square sheets of metal. The machine cuts equal-sized squares…

A: Definition used -                The volume of box  = Area of base x height…

Q: a landscape architect is designing a rectangular flowerbed to be border with 28 plants that are…

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Q: the two endpoints of a bench measure 4/3x centimeters and 2/3x centimeters, then the midpoint is ___…

A: Given query is to find the midpoint, perimeter and the side  of the different shapes.

Q: 2. Among all rectangles that have perimeter of (54+0) ft, find the dimensions of the one with…

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Q: 2. Find the lengths of all sides of the right triangle below if its area is 400. 2x

A: Topic:- Geometry  X=20 2X =40 H =20√5

Q: 5. Originally, a rectangle was twice as long as it was wide. 4 meters were added to its length and 3…

A: Area of rectangle = l × b Where l is length and b is width of rectangle .   Note - (As you asked…

Q: 1. The length of a rectangle is 4 inches less than twice its width. If the perimeter is 18 inches,…

A: Let l be the length of the rectangle and w be the width of the rectangle. It is given that the…

Q: 2. The area of a rectangular field is 162 sq. m and its length is twice its width. Find the…

A: Given,            Area of the rectangular field is 162 sq. m

Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

A: Given,          A farmer wants to fence in a rectangular plot of land adjacent to the north wall of…

Q: Solve the problem. Determine the dimensions of the rectangle of largest area that can be inscribed…

A: From the figure:Let 2x be the length of the rectangle;Hence,using Pythagoras theorem;width2+2x22…

Q: 2. A rectangular lot adjacent to a highway is to be enclosed by a fence. If the fencing costs P250…

A: The rectangular plot has length x  and width y cost of the fence is 250(length along highway )…