A soccer ball is kicked from a point 23 m to the left of the half way line and lands at a point 17 m to the right of the halfway line. It reaches a maximum height of 10 m during its parabolic flight. Determine an equation to represent the path of the soccer ball.

Q: The chord of a parabolic arch is 10 cm and is 12 cm from the vertex. Calculate the perimeter of the…

A: The formula for perimeter of parabola is P=12b2+16a2+b28aln4a+b2+16a2b, where a is the distance of…

Q: A bridge is to be built in the shape of a semielliptical arch and is to have a span of 100 feet.The…

A: Given: A bridge is to be built in the shape of a semielliptical arch and is to have a span of 100…

Q: Find lengths of minor and major axis for ellipse that has equation 16x2 + 4y2 = 16

A: Given, 16x2 + 4y2 = 16

Q: A certain bridge arch is in the shape of half an ellipse 148 feet wide and 32.1 feet high. At what…

A:

Q: A rod of given length (a+b) unit moves so that its ends are always on coordinates. Prove that the…

A: The two ends of the rod is always on coordinate axes. Let's take one end P of the rod is always on X…

Q: Find the least and greatest distances from the origin to a point on the ellipse x²+4y²=16.

A: Topic:- geometry

Q: A parabolic arch has a span of 120 feet and a maximum height of 25 feet. Choose suitable rectangular…

A: Given, a parabolic arch which has a span of 120 feet and a maximum height of 25 feet. Both positive…

Q: Find the equation of one of the tangents to the ellipse 2x² + 4y² = 48 with slope of mt = 1.

A: The given equation of the ellipse is, 2x2+4y2=48 To find the slope of the tangent to the ellipse, we…

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: Find the equations of two lines through the origin that are tangent to the ellipse 2x - 6x+y +4 = 0

A: Consider the given equation:2x2−6x+y2+4=0Let a line y=mx+c is a tangent to the ellipse.Tangent…

Q: The middle span of the Golden Gate Bridge in San Francisco is supported by cables from two towers…

A: Given:The middle span of the Golden Gate Bridge in San Francisco is supported by cables from two…

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: how to determine the maximum and minimum distance of an ellipse given the major axis=477,736 and…

A: Length of the major axis is 477,736 Length of the minor axis is 477,078 We need to calculate the…

Q: Which quadric surfaces have both hyperbolas and parabolas as traces?

A: Consider the given: The intersection of a three-dimensional surface and a plane is called a trace.…

Q: Find the equation of an ellipse centered at the origin with major axis of length 10 lying along the…

A: The standard form of an ellipse centered at origin helps to find the required equation of the…

Q: What is a parabola? Describe its shape.

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

Q: suppose that a non periodic comet will visit the solar system with the sun located at the focus of…

A: Parabolic trajectory of comet is 16y - 24 = x2. and sun located at its focus while earth at the…

Q: What are the lengths of the major and minor axes of this ellipse x^2/6+y^2/12=1?

A: Given: The equation of ellipse is x26+y212=1. To find: The lengths of the Major axis and Minor axis.…

Q: a building facade is in the shape of a semi ellipse, with the major axis as the span. if the span is…

A:

Q: The lengths of the major and minor axes of an ellipse are 10 m and 8 m, respectively. What is the…

A: Topic  =Geometry

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: A building facade is in the shape of a semi ellipse, with the major axis as the span. If the span is…

A:

Q: Define the term parabola?

A: Given: The term parabola.

Q: Find the eccentricity of an ellipse whose latus - rectum is (i) Half of its minor axis (ii) Half of…

A:

Q: The towers of a 60 meter parabolic suspension bridge are 15 m high  and the lowest point of the…

A: Topic name-  use of parabolic formulas  in practical design

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (0, 5) and (0, 1). =D ?

A:

Q: Suppose a golf ball is driven so that it travels a distance of 200 feet as measured along the ground…

A: Given:A golf ball travels a distance of 200 feet as  measured along the ground and reaches an…

Q: An arch in the form of semi – ellipse is 50 feet wide at the base and has a height of 16 feet. How…

A:

Q: A geometry textbook gives the equation of a parabola as y = x^2, where x and y are measured in…

A:

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: find the standard equation of an ellipse centered at the origin whose major axis is horizontal and…

A: We know that standard equation of an ellipse centered at the (h,k) whose major axis is horizontal…

Q: Find equations for two lines through the origin that are tangent to the ellipse x - 8x + y² + 5 = 0.

A:

Q: Write the equation of the ellipse that has a center at (2, – 4), a vertex at (7, – 4), and a…

A:

Q: How can we Find the slope of the parabola?

A: Let the equation of a parabola be: y^2 = 4ax

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (6, –3) and (-4, –3).…

A: Explanation and solutions is given below....

Q: The parabolic antenna has an equation of y^2 + 8x = 0. Determine the length of the latus rectum.

A: Here we use the standard form of parabola.

Q: The cable of a suspension bridge is in the form of a parabola. The towers supporting the cable are…

A: Given that The cable of a suspension bridge is in the form of a parabola. The towers supporting the…

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: 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: 9. Find equations for two lines through the origin that are tangent to the ellipse 1² – 4x + 4y² =…

A: We have to find

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: What is the equation of a horizontal ellipse with a center at point (-2,4), a major axis that is 8…

A: Given : Center (-2,4), Length of major axis = 8 units Length of minor axis = 4 units   To find :…

Q: find the orthogonal trajectory of family of parabolas represented by the equation…

A: To find orthogonal trajectories of  y2=4ax.

Q: what is the equation of a horizontal ellipse centered at the point (9,4) whose major axis is 22…

A:

Q: What are the coordinates of the highest point where the circular cylinder intersects the Elliptical…

A: We will use lagranges multiplier theorem to find heighest point

Q: Suppose a golf ball is driven so that it travels a distance of 200 feet as measured along the ground…

A:

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