A geometry textbook gives the equation of a parabola as y = x^2, where x and y are measured in inches. How can this equation be dimensionally correct?

Q: Give the property that defines all parabolas.

A: A parabola is a plane curve and it is mirror-symmetrical and approximately it can be in the shape of…

Q: Finally, determine a. The parabola passes through the point (0, 5). Substitute the values of x and y…

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Q: At what point does the line normal to the graph of y=5−4x+4x2 at (1,5) intersect the parabola a…

A: The given function is- y=5-4x+4x2.................1 Differentiating the above expression w.r.t. x-…

Q: What is the general equation of a parabola that opens upward with V(-1,2)?What is the equation of a…

A: Consider the given vertex. V=(-1,2)

Q: What is the length of the latus rectum of a parabola having its vertex at the origin and focus at…

A: The length of latus rectum of parabola = 4a

Q: What is the standard equation of a hyperbola?

A: Our Aim is to tell the standard equation of a hyperbola.

Q: What is the general equation of a parabola that opens upward with V(-1,2)?

A: The general equation of the parabola opening upwards is x-h2=4py-k where (h,k) is vertex. here…

Q: I graphed a hyperbola centered at the origin that was symmetric with respect to the x-axis and also…

A: Given, The statement is, "I graphed a hyperbola centered at the origin that was symmetric with…

Q: Write the equation for the hyperbola with foci (1,-5), (9.-5) and conjugate axis of length 6. (x-…

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Q: How is a hyperbola different from a parabola?

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Q: What is a hyperbola?

A: Consider the given "hyperbola"

Q: Please explain in great detail how to find the length of the transverse or conjugate axes of a…

A: To find - Please explain in great detail how to find the length of the transverse or conjugate axes…

Q: Write the equation of the hyperbola that has a center at (2, – 4), a focus at ( – 2, – 4), and a…

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Q: Suppose you are given the x-coordinate of a point on a parabola. How can you find the matching…

A: According to Bartleby guidelines, only one question can be solved at a time. Kindly post other…

Q: If the axis of symmetry of a parabola is given by x = 4, is it possible for the directrix to have…

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Q: Adjust the equations to create three different parabolas that pass through the points.

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Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…

A: Given:- What is the equation of the directrix of the parabola having a vertex at (6,0), passing…

Q: Find the equation for the parabola that has its vertex at the 1 origin and has directrix at y 41…

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Q: The line segment perpendicular to the axis of symmetry, passing through the focus and with endpoints…

A: Given:The line segment perpendicular to the axis of symmetry, passing through the focus and with…

Q: Explain how to use y2 = 8x to find the parabola’s focus and directrix.

A: Given: y2=8x   To find: The parabola’s focus and directrix

Q: What is the equation of parabola in standard form whose focus is at (-4,0) and the directrix is at…

A: Note that, the equation of the parabola with the directrix x+a=0 and the focus (a,0) is y2=4ax.

Q: I graphed a hyperbola centered at the origin that was symmetric with respect to the x - axis and…

A: Solution:GivenI graphed a hyperbola centered at the origin that was symmetric with respect to the…

Q: The line passing through the vertex that divides the parabola into two symmetric parts is . The two…

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Q: How can I tell from a hyperbola’s equation whether the transverse axis is horizontal or vertical?

A: Definition used-           Transverse axis of hyperbola -             The transverse axis is the…

Q: What is a parabola? Describe its shape.

A: We have to define parabola and describe it shape.

Q: What is the equation of the sphere whose center is at (0, -3, 8) and with a radius of 5? Select the

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Q: Graphically, parabolas can be viewed as the set of all points whose distance from _____ is equal to…

A: Graphically, parabolas can be viewed as the set of all points whose distance from _____ is equal to…

Q: derive the standard form of equation for a hyperbola?

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

Q: What is the length of the conjugate axis of the hyperbola (x^(2))/(16)-(y^(2))/(4)=1?

A: General form of hyperbola   x2a2-y2b2=1  Therefore the length of the Conjugate axis =2b…

Q: Correctly match up the vertex and axis of symmetry for this parabola.

A: We have to find the vertex and axis of symmetry according to the given information

Q: Find the standard equation of a parabola if its latus rectum measures 9 units, axis at y = 3, p is…

A: Let's find standard equation of a parabola.

Q: What is the equation for a parabola

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Q: The center of a clock is 60cm above the ground. The minute hand on the clock is 23cm long and starts…

A: topic- trigonometric equations

Q: A 24 meter long tension wire is tied firmly between two vertical poles with identical height of 5…

A: To Find:a) Write an equation of the parabola.b)How far is the center of the beam to the wire's 1 cm…

Q: Write the equation of hyperbola that pass through point (12, 9) and have F1 (0, 0) and F2 (0, 4)

A: Since you have posted multiple question but according to guidelines, we will solve first question…

Q: The graph of a parabola is a straight line. How do i Explain and correct the error?

A: The equation of a parabola is quadratic i.e. of degree two.

Q: Write the equation of the hyperbola of foci F1(2, −1), F2(2, 4) and focal radius difference equal to…

A: The equation of hyperbola can be obtained from the foci and the vertices or other parameters. If the…

Q: How can you distinguish parabolas from other conic sections by looking at their equations?

A: Query- How can you distinguish parabolas from other conic sections by looking at their equations?…

Q: A certain bridge arch is in the shape of the top half pf an ellipse 122 feet wide and 25.6 feet…

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Q: What is the equation of the standard parabola with its vertex at the origin that opens downward?

A: we have to find the equation of the standard parabola with its vertex at the origin that opens…

Q: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4

A: Given: Equation of directrix:y=3……1Equation of axis:x=0……2Length of latus rectum:4……3

Q: What point on the parabola y = 5-x is closest to the point (5,5)? The point on the parabola y = 5- x…

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Q: please find the equation for parabola with the followin points focus 0,7 vertex 0,5 directrix 0,3

A: This question is based on standard equation of upward opening parabola .

Q: Two large airship hangars were built in Orly, France, in the early 1900s but were destroyed in World…

A: (a). It is given that, the length of hangars is 175 m, the width of the hangers is 90 m and the…

Q: Suppose that two microphones 1500 m apart at points A and B detect the sound of a rifle shot. The…

A: Frist draw a diagram with given information as shown in below figure.

Q: Describe the three-dimensional figure that is formed from rotating the isosceles right triangle…

A: We have to use properties of triangle to solve the problem when we rotate a triangle around any side…

Q: I graphed a hyperbola centered at the origin that had y-intercepts but no x-ntercepts.Determine…

A: Types of hyperbolas: 1. Vertical hyperbola: Its graph contains two vertical parabolas which are…

Q: Suppose the axis of a parabola is parallel to the yy-axis and passing through the points (0,3),…

A: Given that, the axis of a parabola is parallel to the y-axis. Let the Vertex of the parabola (h, k)…

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.