Мoon Earth Perigee Apogee Not drawn to scale

Q: Suppose a baseball is thrown at 30 ft/s at a 60degree angle to the  horizontal from a height of 4 ft…

A:

Q: Earth moves in an elliptical orbit with the sun at one of the foci. The length of half of the major…

A: Earth moves in an elliptical orbit with the sun at one of the foci. The length of half of the major…

Q: For an object in an elliptical orbit around the moon, the points in the orbit that are closest to…

A: Topic-  ellipse equation

Q: Neptune orbits the Sun in an elliptical path with the Sun at one focus. At aphelion, Neptune is…

A: Given: Neptune orbits the Sun in an elliptical path with the Sun at one focus. At aphelion, Neptune…

Q: An arch in the shape of the upper half of an ellipse is used to support a bridge that is to span a…

A: According to the given problem we haveWe need to find the height h of the arch which is 5 meters…

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Major axis…

A:

Q: The major axis of the elliptical path in which the earth moves around the sun isapproximately…

A: We know that the length of the major axis of an ellipse is 2a. So 2a=186,000,000. Find the value of…

Q: The Earth revolves around the Sun along an ellipse. The Sun lies in the focus of the ellipse. The…

A:

Q: Find an equation for the ellipse that satisfies the given conditions. Endpoints of minor axis: (0,…

A: Given  End points of minor axis  : (0,±3)  Distance between foci: 8

Q: 5. The line segment perpendicular to the major axis, with endpoints on the ellipse, and passing…

A: Fill the blank

Q: draw the ellipse when the distance of its focus from its directrix is equal to 60mm and eccentricity…

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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: 24. If a pebble is dropped into a pond in the shape of an ellipse at the location of one focus, the…

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Q: The length of the major axis of an ellipse with foci at (-1, 2) and (3, 2) that passes through the…

A: Here we use basic defnition of major axis

Q: Sketch the parabola and ellipse. Include the directrix that corresponds to the focus at the origin.…

A: The given polar equation r=62+cosu The polar equation of the form  r=ep1±ecosθ This conic will have…

Q: The orbit of Earth around the sun is an ellipse with eccentricity 0.017 and semimajor axis 1.495 x…

A: Given:The orbit of Earth around the sun is an ellipse with eccentricity 0.017 and semimajor axis…

Q: this conic is rotated counter-clockwise about the origin through an angle 37/4, rite the resulting…

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Q: Find the equations and graph of the ellipse; distance between directrices 27 units, foci 3.

A: The equation of an ellipse is x2a2+y2b2=1.The distance between the foci is 2ae.The distance between…

Q: A person in a whispering gallery standing at one focus of the ellipse can whisper and be heard by a…

A: Here the ceiling is half of an ellipse, so the top half and the foci will be on a line between the…

Q: A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius of…

A: The correct option is B . See the explanation in the attachment below...

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 moon's orbit is an ellipse with Earth as one focus. If the maximum distance from the moon to…

A: Since, we have been given that the moon's orbit is an ellipse with Earthas one of its focus, Here we…

Q: 3. ELLIPSE CENTER= (-1,2) MAJOR AXIS IS HORI ZONTAL AND HAS LENGTH OF IO PASSES THROUGH -1,5)

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

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Q: A person in a whispering gallery standing at one focus of the ellipse can whisper and be heard by a…

A:

Q: If a conic has rmin = 9 and rmax = 17 , find the eccentricity and semi-major axis.

A: Answer is mentioned below

Q: 5. Explain the distinguishing feature of the distance between the foci and a point on the ellipse.

A: Every ellipse has two axes of symmetry. The foci always lie on the major axis, and the sum of the…

Q: The distance between foci of an ellipse is 6 and its major axis is 10. Find its eccentricity.

A: distance between foci = 2a/e = 6 major axis = 2a = 10so now put 2a value in above equation 10/e = 6…

Q: The earth revolves around the sun along an ellipse. The sun lies in the focus of the ellipse. The…

A: Given: The earth revolves around the sun along an ellipse. The sun lies in the focus of the ellipse.…

Q: The major axis of the elliptical path in which the earth moves around the sun is approximately…

A: We have to determine apogee and perigee of the earth where it is given that major axis of the…

Q: The orbitof Earth about the sun is almost circular. Assume that the orbit is a circle with radius…

A: Radius of the circle = R = 93000000 milesLet, θ be the angle formed by earth at center in one…

Q: On January 31, 1958, the United States launched the research satellite Explorer 1. Its low and high…

A: Consider the eccentricity for the satellite orbit.                     e=A-PA+P     ..............1…

Q: Choose one: An ellipse with eccentricity close to 1 will appear  a. more elongated. b. more…

A: An ellipse with eccentricity close to 1 will appear to be more elongated, because if eccentricity is…

Q: The orbit of Halley's Comet is an ellipse whose major axis is 3.34 × 10 ^ 9 miles long, and whose…

A:

Q: the earth revolves around the sun along an ellipse. the sun lies in the focus of the ellipse. The…

A: The earth revolves around the sun along an ellipse. The sun lies in the focus of the ellipse. The…

Q: The major axis of the elliptical path in which the earth moves around the sun is approximately 186,…

A: Given: 2a=186,000,000e=160

Q: The Earth revolves around the Sun along an ellipse. The Sun lies focus of the ellipse. The largest…

A:

Q: An artificial satelite to orbit Earth was ilaunched by the Philippines. The orbit was an ellipse…

A: We know that general equation of an ellipse is,            x2a2+y2b2=1 Where 2a is the length of…

Q: The distance between foci of an ellipse is is 6 and its major axis is 10. Find the length of the…

A: distance between two foci = 2ae =6 major axis = 2a = 10 length of latus rectum = 2b2/a= 2a(1 - e2)…

Q: The orbit of a planet around the sun is not circular; it is an ellipse with the Sun at one focus.…

A: According to question We have to calculate an equation to represent the orbit of plutoAround the…

Q: 1. The distance between the foci of an ellipse is equal to 8 and the second eccentricity is equal to…

A: Solution 1: Given that, distance between foci is 8. eccentricity is 1.33. Since we know that,…

Q: The earth revolves around the sun along an ellipse. The sun lies in the focus of the ellipse . The…

A: To Determine: Find the length of of the semi minor axis of the ellipse and the eccentricity of the…

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Major axis…

A: To find the equation of the ellipse

Q: The paint Pla cose,b sine) lies on the ellipre at %3D where a and b are semi- major and semi -minor…

A:

Q: The distance between foci of an ellipse is 6 and its major axis is 10. Find its eccentricity

A: we know that equation of ellipse in standard form x2a2+y2b2=1 where a is major axis and b is minor…

Q: 4. The Earth revolves around the Sun along an ellipse. The Sun lies in the focus of the ellipse. The…

A: Given that, the largest distance from the Sun to the Earth is 152.1 million kilometres, and the…

Q: The vertices of an ellipse of eccentricity 0.5 lie at the points (0, +-2). Where do the foci lie?

A: The vertices of an ellipse of eccentricity is 0.5 lies on (0,+-2). Find the foci

Q: Jupiter orbits the Sun in an elliptical path with the Sun at one focus. At perihelion, Jupiter is…

A: Given that Jupiter is closest to the sun at 7.4052×108 km and eccentricity of the orbit is 0.0489.

Q: Determine the eccentricity of an ellipse whose foci and directrices are 4 units and 9 units apart,…

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.