.A cable of a suspension bridge hangs in the form of a parabola when the load is uniformly distributed horizontally. The distance between two towers is 150 meters, the point of support of the cable on the towers are 22 meters above the roadway, and the lowest point on the cable is 7 meters above the roadway. Find the vertical distance to the cable from a point in the roadway 15 meters from the foot of the tower.

Q: 14. Which equation represents the given parabola? O y = -4(x – 4)² + 5 O y = }(x – 4)² + 5 O y =…

A: First option is correct.

Q: A) given the perimeter of the rectangle is 100 meters. What is the dimension should be to get the…

A:

Q: The swings in your local park are very popular among the children. Each swing has a rope of 10-foot…

A: Given:  The swings in your local park are very popular among the children. Each swing has a rope of…

Q: A cable of a suspension bridge hangs in the form of a parabola when the load is uniformly…

A: Here we hav to use the concept of the parabola

Q: An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to…

A:

Q: 3. The towers supporting the cable of a suspension bridge are 1200 m apart and 170 m above the…

A: Solution:-   First we are draw a rough diagram based on the given problem.      Both towers are…

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A: Let h be the height of the rectangular box. Here, the objective is find the value of h to minimize…

Q: The cost, C, of producing r Totally Cool Coolers is modeled by the equation C = 0.005x2 – 0.4x + 22…

A:

Q: 3) Assume that the parabola y=x is translated so that its vertex is (5,-4). If the parabola is…

A: According to question given that  y=x2, vertex is (5,-4)

Q: Please

A: Now differentiate it with respect to y and equate it to 0.

Q: Can you please answer this question and show all of the steps and say the correct letter

A: Let the east and south walls are of length =x yard And the south wall is of length = y yard (as…

Q: A farmer wants to fence a rectangular field with an area of 1.5 million ft2. Then he will divide it…

A: Given:             Area of rectangular field A=x·y                                        1.5×106=xy…

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A:

Q: 2. Alex skated 5 meters in 4 seconds. How fast was Alex skating per second? Answer with supporting…

A:

Q: An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to…

A: Let P be a point located at a distance 7-y km from the oil refinery(see the picture below).

Q: 4. What is the axis of symmetry of the parabola y = x = 7 x= -14 y = 28 Ox=28 O x²14x+28?

A:

Q: Find the shortest distance from the point (1,4) to a point on the parabola y =2 x (a) /2 (b) 1 (c) 2…

A: To determine the shortest distance between point and the parabola,

Q: Analyze the following problems then solve. Show necessary solutions. 1. A three-sided fence is to be…

A:

Q: Parents of a small child want to fence a rectangular play area in their backyard. The house is to…

A: We are trying to optimize the fencing which is equivalent to the perimeter of the 3-sided…

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A:

Q: A wall 2.245 m high ia x meters away from a building. The shortest ladder that can reach the…

A: Consider a right angled triangle ABC.  Then sin θ=ABAC and cos θ=BCAC. Also the maximum and minimum…

Q: 3. Find the best parabola to fit the data points: (-1,1), (1, –1), (2,0), (3,0).

A:

Q: uare method to find the vertex of the function ? = 4?2 − 8? − 5 and sketch the graph with the…

A: Introduction: The point at which a parabola changes direction, corresponding to the quadratic…

Q: Helen has 28 m of fencing which she can use to surround a pen for her pigs. What is the maximum area…

A: we know that square have maximum area in four side polygon so, given pen will be a square we know…

Q: A zoo supplier is building a glass-walled terrarium whose interior volume is to be 4.8 ft°. Material…

A: Given: The volume of the building is 4.8 ft3and cost of the material per square ft are: Walls…

Q: Find the point P on the parabola y = x? closest to the point (57, 0). (x, V) = ( y y =x 57

A: Let x, x2 be the point on the parabola y=x2 closest to the point 57, 0. Now the distance between x,…

Q: Solve the problems below that pertain to Có structing a feñčě. (a) A farmer wishes to enclose 6,724…

A: We have to find the values of x and y.

Q: A farmer wants to build a rectangular fence that will enclose 120 square feet for his dog Miff. The…

A:

Q: 8. A box is to be made with an open top from a sheet of cardboard by cutting four equal squares out…

A:

Q: Find the point(s) on the parabola x =y closest to the point (0,3)

A:

Q: (3) Find the coordinates of the points of intersection of the parabola y = x2 - ax and the line y =…

A:

Q: Q,9. What point on the parabola y = v2x + 5 comes closest to the ori

A:

Q: 18. If given the equation y =- 3(x + 5)2 - 4, what is the range of the parabola? A. (- 00, 00) B.…

A:

Q: 3. A piece of wire of length shape of an equilateral tr should the wire be cut sa a) a minimum? b) a…

A: L: length of the wirex: one piece of wire cut from length LPerimeter of the equilateral…

Q: The filament lightbulb is a thin wire that glows when electricity passes through it. The filament of…

A: Given: The given reflector is 7 inches wide and 2 inches deep i.e. (x,y)=(2,3.5)

Q: A boat on the ocean is 2 mi from the nearest point on a straight shoreline; that point is 10 mi from…

A: a.Let x be the distance between the nearest point on a shoreline and the point where she stands. The…

Q: A gasoline dealer commissioned a machine shop owner to fabricate a metal tank in the shape of a…

A: D = diameter of the cylinderical tank, hemispherical bottom, cover of tankmH = Height of tankmBasic…

Q: 2. Find the dimensions of the rectangle of largest area that has its base of the x-axis and its…

A:

Q: he rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1 tent…

A: We have to find the rate at which the total average number of COVID cases is increasing.

Q: Use least square method to the best value of a and b, and calculate the value of v at x= 50 for the…

A:

Q: The task is to: a) Find the maximum area they can fence off? 10 You plan to make a simple, open…

A: Let us consider a cuboid with length (l) width (b) and height (h) then the volume of the cuboid will…

Q: You must get from a point P on the straight shore of a lake to a stranded swimmer who is 50 m from a…

A:

Q: Every second counts You must get from a point P on the straight shore of a lake to a stranded…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The United States Postal Service ships a package under large-package rates if the sum of the Tength…

A: According to question, 84<l(length) + w(girth) ≤108⇒84<40+w≤108⇒44<w≤68 The volume,…

Q: A tunnel through a mountain for a four lane highway is to have an elliptical opening. The total…

A: Given information: A tunnel through a mountain for a four lane highway is to have an elliptical…

Q: c) You are standing on the bank of a river that is 1 mile wide and want to get to a town on the…

A: SolutionA river bank is 1 mile wide A town on the opposite to a bank 1 mile upstreamTo find the…

Q: The cost, C, of producing a Totally Cool Coolers is modeled by the equation C=0.005² - 0.38x + 16…

A:

Q: You have a wire that is 62 cm long. You wish to cut it into two pieces. One piece will be bent into…

A: You have a wire that is 62 cm long. You wish to cut it into two pieces One piece will be bent into…

Q: an athlete whose event is the shot put releases a shot. when the shot whose path is shown by the…

A: a) The maximum height occurs at the vertex. We can find the vertex using x=-b/(2a) general quadratic…

Q: 2. Find the point on the parabola x+y? 0 that is the closest to the point (0, -3).

A: