Parabolic y supporting cable (60, 20) x,

Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…

A: y2-4y-2x-4=0 On simplification, we get ⇒y2-4y=2x+4⇒y2-4y+4=2x+4+4⇒y-22=2x+8⇒y-22=2x+4⇒y-22=2x--4 Now…

Q: Write an equation of a parabola with vertex at origin, focus on the positive x – axis, 2 units away…

A: If the equation of parabola y2=4px then the axis of the parabola is horizontal and vertex is (0, 0)…

Q: A simply supported beam is a = 80 feet long and has a load at the center (see figure). The…

A: A quadratic equation of form ax2+bx+c, has its vertex at x=-b2a

Q: Write the equation in standard form. Identify the vertex, axis of symmetry, and direction of opening…

A:

Q: a suspension bridge the shape of the suspension cables is parabolic. The bridge shown in the figure…

A: Given, In a suspension bridge the shape of the suspension cables is parabolic. The bridge has towers…

Q: For Exercise, an equation of a parabola is given. a. Write the equation of the parabola in standard…

A: Given: the equation of parabola

Q: Q5 A concrete bridge is designed with an arch in the shape of a parabola. The road over the bridge…

A: The general equation of a parabola along the y-axis with vertex on the point (h,k) is given by the…

Q: Find the equation of the parabolic arch formed in the foundation of the bridge shown. (Write the…

A: Given Assume the bottom left arch is at the origin

Q: Balcony-sized solar cookers have been designed for families living in India. The top of a dish has a…

A:

Q: A cross section of a nuclear cooling tower is a hyperbola with the equation y? : 1 902 1302 x2 The…

A:

Q: 45 ft 90 ft

A: Write the equation (in standard form) of the parabolic arch formed in the foundation of the bridge…

Q: The towers of a suspension bridge are 800 feet apart and rise 160 feet above the road. The cable…

A: From the given data and figure,   Its look likes open upward parabola   The low point of the cable…

Q: The equation of a parabola is 12y = (x – 1)´ – 48 . Identify the vertex, focus, and directrix of the…

A: Parabola

Q: A parabola whose equation is x ^ n-8Y = 12ny Find its focus and the equation of its guide

A: we know general formula of parabola X2=4ay So we put n=2 and find the equation of a parabola and…

Q: Q3: A concrete bridge is designed with an arch in the shape of a parabola. The road over the bridge…

A:

Q: A suspension bridge has two supporting towers with a cable secured at either end of the span and…

A:

Q: The towers of a suspension bridge are 800 feet apart and rise 160 feet above the road. The cable…

A: Given the towers of a suspension bridge

Q: The receiver of a parabolic satellite dish is at the focus of the parabola (see figure). Write an…

A:

Q: Write an equation of the parabola in intercept form. AY (3, 4) 4 (4,0) 8X (2, 0) An equation of the…

A:

Q: Write an equation for the parabola

A: Find the equation of parabola from the given data .

Q: The equation of a parabola is 12y=(x−1)2-48. Identify the vertex, focus, and directrix of the…

A: Topic:- geometry

Q: Write an equation for the parabola shown to the right. The equation of the parabola is. (Use…

A: consider the equation of parabola is  y=ax2+bx+c

Q: A light bulb in a flashlight is at the focus of its parabolic reflector, 1.5 centimeters from the…

A: this problem consist of parabolawe know standard form of parabola is(y-k)2=4p(x-h)where (h,k) is…

Q: A light bulb in a flashlight is at the focus of its parabolic reflector, 1.5 centimeters from the…

A: Given: Length of focus point, f=1.5 cm Coordinate of the focus, (0,a)=(0,1.5) Vertex of the…

Q: A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 182 feet and a…

A: To set up the equation for the parabola (modelling the bridge) and solve the numerical problem by…

Q: A sphere has a diameter whose endpoints are Pi₁(3, 2, 1) and P₂(-1,-4,-4). Find the equation of the…

A: We will solve the problem

Q: The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers…

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Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (v-2) = 5(x+ 1) Vertex: OD…

A: Equation of parabola is given by: (y-k)²= p(x-h)

Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…

A: In general with respect to XY axis , we have four types of parabolas . Here we have an open leftward…

Q: Write the word TRUE if the statement is correct: otherwise, write FALSE 1. A circle is a special…

A: Note: As per our company guidelines we are supposed to answer first three sub-parts of the question…

Q: A cross section of a nuclear cooling tower is a hyperbola with the equation y? 1 902 1302 x2 The…

A: Given equation x2902-y21302=1. The height of a tower is 450 ft. Given figure: The main objective is…

Q: In a suspension bridge the shape of the suspension cables is parabolic. The bridge shown in the…

A: The standard form of the equation of the parabola is y = A(x-h)2 + k, where h and k are the…

Q: Write an equation of the parabola in intercept form that passes through (14, 4) with x-intercepts of…

A:

Q: Rewrite the equation in standard form. Determine (a) whether the parabola is horizontal or vertical,…

A: A parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped. It fits…

Q: Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the…

A: Given that the equation of the parabola y2 +14y + 4x + 45 = 0 On simplification, we get ⇒ y2 +14y +…

Q: A parabola has equation (x- 4)2 = 8(y + 3) - Determine the coordinates c its focus

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Q: C) The outer door of an airplane hangar is in the shape of a parabola. The door is 110 feet across…

A: First make digram then write the standard equation. Then find the adjact equation.. Then put the x…

Q: An engineer is designing headlight units for cars. The unit shown in the given figure has a…

A: a. Let us place the vertex of the parabola at the origin. From the figure given, we can say that the…

Q: . Reason Jupiter's gravity changes a spacecraft's path to a hyperbola as it approaches. The focus of…

A: We need to find hyperbola equation.

Q: Find the equation of the parabolic arch formed in the foundation of the bridge shown.

A: While considering the bottom left corner of the parrabola at orogin,we see that the vertex will be…

Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downward? 믐…

A: Given that: Graph of the parabola

Q: A simply supported beam is a = 160 feet long and has a load at the center (see figure). The…

A:

Q: The cross section of a satellite dish is a parabola. Suppose a satellite dish receiver is lo- cated…

A: Topic = parabola

Q: Write an equation of the parabola with vertex (0, 0) and directrix x = 2. An equation of the…

A:

Q: An arch is in the shape of a parabola with its vertex at the top. It has a span of 100 feet and a…

A:

Q: For Exercise, an equation of a parabola is given. a. Write the equation of the parabola in standard…

A: Consider the given equation.(a)

Q: Write an equation for the parabola shown to the right. The equation of the parabola is (Use integers…

A:

Q: In a suspension bridge the shape of the suspension cables is parabolie. The bridge shown in the…

A: Given In a suspension bridge the shape of suspension cable is parabolic. The bridge has towers that…

Q: Find the focus and directrix of the parabola. You will need to complete the square first to put in…

A: To find: The focus and directrix of the parabola. Given information: The equation of the parabola is…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.