A lamp has the shape of a parabola when viewed from the side. The light source (which is at the focus) is 4 centimeters from the bottom of the lamp and the lamp is 25 centimeters deep. How wide is the lamp?

Q: A searchlight is shape like a parabola of a revolution. If the light source is located 2 feet from…

A: Given that , vertex of parabola h,k=0,0 focus of parabola 0,a=0,2 Depth of light y=4 feet Width of…

Q: ht

A: Introduction: We know that the equation of the parabola in the vertex-focus form with coordinates…

Q: What is a parabola? What are the Cartesian equations for parabolas whose vertices lie at the origin…

A: What is a parabola? What are the Cartesian equations for parabolas whose vertices lie at the origin…

Q: A radio telescope has a parabolic surface. If it is 9 m deep and 12 m wide, how far is the focus…

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Q: A racetrack is in the shape of an ellipse, 100 feet long and 70 feet wide. What is the width 10 feet…

A:

Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

A: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

Q: Find the equation of a hyperbola with center at (3,-1) if the transverse axis is horizontal, the…

A: Given Centre = (3,-1) Focal distance = 20 units Length of transverse axis = 16 units

Q: Find the equation of the hyperbola having center at the origin with transverse axis on the x-axis,…

A: Given-  Hyperbola having center at the origin with transverse axis on the x-axis, a=4, and latus…

Q: What is the measure of the focal width of the parabola y+2y+4x-3=0 ?

A:

Q: A bowl is designed so that it has a vertical cross-section in the shape of a parabola. The width of…

A:

Q: A ship is following a course that is 104 miles from and parallel to a straight coastline. The ship…

A: Given: Let A represent the location of origin. As a result, its coordinate is (0,0). Because the…

Q: The circle, the ellipse, the hyperbola, and the parabola are categories of _____ sections.

A: The intersection of a plane and a double napped cone is known as conic sections.If the set if…

Q: The cables of the middle part of a suspension bridge are in the form of a parabola, and the towers…

A: Explained below

Q: A searchlight is shaped like a paraboloid of revolution. If the light source located 4 feet from the…

A: Consider the following figure:

Q: A cable suspended between two posts that are of the same height and 20 meters apart has a sag of 1/2…

A: Given: A cable suspended between two posts that are of the same height and 20 meters apart has a…

Q: If the diameter of the parabolic mirror is 100 meters and the sunlight is focused 25 meters from the…

A: It is given that the diameter of the parabolic dish is 100 m and the focus of the dish is 25 m.

Q: The line perpendicular to the directrix and passing through the focus of a parabola is called the…

A: Given:

Q: 3. What is the area of the largest rectangle that ca be inscribed inside the ellipse given by the 22…

A:

Q: An engineer is designing a flash light using a parabolic reflecting mirror and a light source, shown…

A: Provided figure is Diameter=2x=4 ⇒ x=2 Depth=y=2

Q: A satellite dish has a shape called paraboloid, where each cross section is parabola. Since the…

A:

Q: A geometry student wants to draw a rectangle inscribed in the ellipse x2+4y2=49. What is the area of…

A: For maximization, equate the derivative of the function to 0 to get the critical points.Then check…

Q: One of the most important applications of parabola are their reflective properfties. Light rays…

A:

Q: focus shaded region has area 8

A: we know that equation of parabola is given by x2=-4ay where, focus is 0,-a, vertex is 0,0 and…

Q: 1P If an automobile head light reflector is cut by a plane through its axis, the section is a…

A: Given : Diamete of the headlight is 250 mm.

Q: The equation of the directrix of a parabola is y = 5 and its focus is at (4,-7). What is the length…

A: given:Equation of direction of a parabola  is y=5focus 4,-7To calculate: length of latus rectum

Q: Suppose that point A(-4,0) lies on a parabola whose focus is at (5,3). What is the length of the…

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Q: The parabola y = x² is shifted up by 7 units and to the left by 1 unit. What is the equation of the…

A: Equation of parabola is given as y=x2. If the parabola is shifted by a units and to the left by b…

Q: What is the equation of the parabola with vertex at (0,0) and focus (0, –4) in standard form?…

A: see below the calculation

Q: Define the term parabola?

A: Given: The term parabola.

Q: The Statuary Hall in the Capitol Building in Washington, D.C. is a whispering chamber. Its…

A: The given dimensions are, 46 feet wide by 96 feet long as shown in Figure. Here, 96/2 = 48 and 46/2…

Q: An engineer is designing a flashlight using a parabolic reflecting mirror and a light source.  The…

A: Desining a flashlight: Position the parabola with its vertex at the origin and opening upward.…

Q: A pair of buildings on a college campus are shaped and positioned like a portion of branches of the…

A:

Q: The distance between the vertex and the focus of a parabola is called the __________ length and is…

A: First of all, consider the definition of the vertex and the focus of a parabola.The vertex of…

Q: Describe the part of a hyperbola given by the equation.

A: The standard form of equation of hyperbola having center at (0,0) and major axis on x axis is given…

Q: If the focal length of a parabola is 6 units and the vertex is (3, 2), is it possible to determine…

A: Focal length of a parabola is 6 units and the vertex is (3, 2).

Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

A: Given: A search light is shaped like a paraboloid of revolution. If the light source is located 4…

Q: If the directrix is horizontal, then the parabola opens (horizontally/vertically).

A: Given:We must find the missing word in the given sentence.So, Definition of parabola said:A parabola…

Q: Suppose that two people standing 1.5 mi (7920 ft) apart at points A and B hear a car accident. The…

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Q: What is the Equation of a Parabola with directrix x = 3/2 and focus (5/2 , 4)

A: The given problen is solved below in detail.

Q: A satellite dish has the shape of a parabola when viewed from the side. The receiver (which is at…

A:

Q: The points where a hyperbola intersects the line through the foci are called the _____

A: The line through the foci is the major axis. Where it cuts the hyperbola is the vertices.Answer: The…

Q: What equation is used to find the foci of a hyperbola?

A: The hyperbola which is having transverse axis along x-axis is given by x-h2a2-y-k2b2=1 where h,k is…

Q: How is the axis of symmetry related to the vertex, focus, and directrix of a parabola?

A: See the attachment below

Q: .What is the equation, in standard form, if the focal width of parabola is 14 units and its vertex…

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the up-down parabola…

Q: An engineer is designing a flashlight using a parabolic reflecting mirror and a light source, shown…

A: Given that, The casting has a depth of 2 inches that is y = 2 in. And the casting has a diameter of…

Q: Find the equation of a hyperbola with center at (3, -1) if the transverse axis is horizontal, the…

A:

Q: What is the geometric interpretation of b/a in the equation of a hyperbola in standard position?

A:

Q: The cross section of a power plant cooling tower is in the shape of a hyperbola.  the base diameter…

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Q: A parabolically shaped bookshelf has a width of 14 feet 8 inches at the top and height 8 ft. 4 in..…

A: Consider the given information as, width=14feet  8 inches and height =8ft 4 in

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.