Answered: dentify the equation of the ellipse…

dentify the equation of the ellipse that has the coordinates of its center C (5, 1), the coordinates of a vertex (5, 4), and the coordinates of a minor axis (3, 1)

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.4: Hyperbolas

Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.

See similar textbooks

Related questions

Q: Write the equation of an ellipse with minor axis endpoints (co-vertices) at (0, 3) and (0, -3) and…

Q: Find the coordinates of the foci of an ellipse with center at (-1,2), one co-vertex at (2,2), and…

A: Given problem:- Find the coordinates of the foci of an ellipse with center at (-1,2), one co-vertex…

Q: Find an equation of the ellipse with minor axis of length 8 and vertices at (-9, 3) and (7, 3).

A: The solution is given in the next step.

Q: Find an equation of the ellipse that has center (-2, 3), a minor axis of length 10, and a vertex at…

A: Center=(h,k)=(-2,3) Length of minor axis= 2b=10 b=5 a= distance from center to vertex= distance…

Q: Find the standard form of the equation of the ellipse with the given characteristics. Center: (1,2)…

A: we have to find the standard form of the equation of the ellipse with the given characteristics:…

Q: Find an equation in standard form for the ellipse with center at (5, 4), horizontal axis of length 8…

Q: Find an equation of the ellipse that has center (5,5), a major axis of length 12, and endpoint of…

A: Given: center h,k=5,5 length of the major axis 12=2a a=6 the endpoint of the minor axis5,3 minor…

Q: Find the coordinates of the foci of the ellipse with vertices at (11,3) and (-15,3) and has minor…

Q: e BOTH the standard and general form of the equation of the specified ellipse. Vertices at (8, -1)…

A: Definition used - The standard form of the equation of ellipse -…

Q: Find an equation of an ellipse with center at (0,0), vertices (±6,0) and eccentricity 3/5:

A: Given : Center of an ellipse (0, 0). Vertices of an ellipse are (6, 0) and (-6, 0) Eccentricity =…

Q: Find an equation for the ellipse with center (-4, 1), vertex (-4, 3) and focus (-4, 0).

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (−1, 0).

A: Given 4x^2 + y^2 = 4 y^2 = 4 – 4x^2 y = +- (4 – 4x^2)^1/2 Let distance between (x,y) and point…

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

A: Our Aim is to find the standrad form of the eliipse satisfying the given conditions:-Endpoints of…

Q: Find the standard form of the question of the ellipse with given characteristics and center at the…

A: This is a problem related to conics section. Based on the general formula and concept we will…

Q: Find the standard form of the equation of the ellipse with the given characteristics. Center: (2,…

A: The standard form of the ellipse is Where, (h,k) is the centre of an ellipse, ''a'' is the…

Q: Find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0).

Q: What is the standard form equation of an ellipse that has vertices (6,−1) and (−2,−1) and…

Q: Center at (-2,3): major axis is horizontal; passing through (1,4) and (2,3)

A: The center at (-2,3), the major axis is horizontal and passing through (1,4) and (2,3). We have to…

Q: Find an equation of the ellipse that has center (4, -4), a major axis of length 8, and endpoint of…

A: topic - equation of ellipse

Q: Find an equation of the ellipse that has center (1, 4), a major axis of length 4, and endpoint of…

A: NOTE: Refresh your page if you can't see any equations. . the equation of the ellipse is in the…

Q: Find the standard form of the equation of the ellipse with the give characteristics. Center: (2,6);…

Q: Find the standard form of the equation of the ellipse with the given characteristics. Vertices:…

Q: Write the equation of the ellipse with endpoints of the major axis (-11, 0) and (11, 0) and minor…

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

Q: What is the equation of an ellipse with its center at (-2, 1), a major axis 16 units long, and…

Q: Sketch the graph of ellipse and find its Foci,Vertices,Covertices and the Center (x-3²)/169 +…

Q: Find an equation of the ellipse that has center (-3, 4), a minor axis of length 8, and a vertex at…

A: The center of the ellipse is: (-3, 4).

Q: Find the standard form of the equation of the ellipse with the given characteristics. Center: (5,…

Q: Identify the equation of the ellipse, as well as the graph of the ellipse that has the following…

A: To find:- Identify the equation of the ellipse, as well as the graph of the ellipse that has the…

Q: Find the standard form of the equation of the ellipse. y 8. 4 3- 96 -5 -4 -3 -2 -1 -1 2 4 -2 -3 -4…

Q: Find the coordinates of the foci of an ellipse with center at (-1,2), one co-vertex at (2,2), and…

Q: What is the standard form equation of an ellipse with the center (-1, 6), a horizontal major axis…

A: Center (h,k) = (-1,6) a = 22 b = 8

Q: Find an equation of the ellipse that has center (-5, 4), a major axis of length 6, and endpoint of…

A: Length of major axis of an ellipse is 2a

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthestaway from the point (1,0 ).

Q: Find an equation of the ellipse that has center (-2, 5), a minor axis of length 8, and a vertex at…

Q: Find an equation of the ellipse that has center (1, – 2), a minor axis of length 6, and a vertex at…

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

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

Q: Write an equation for the ellipse centered at the origin with vertices located at (-12, 0) and (12,…

A: Given that an ellipse is centered at the origin , which has vertices at (-12,0) and (12,0) and focii…

Q: Find an equation in standard form of the ellipse described. Center (3, 4); passes through (3, 8)…

Q: Find an equation in standard form for the ellipse with center at the origin and passes throught the…

Q: What is the standard form equation of an ellipse that has vertices (−2,14) and (−2,−12) and…

Q: find the equation in standard form of the ellipse whose focu are F1(-8,0) and F2 (8,0) such that for…

A: Given foci F1(-8,0) and F2 (8,0) of the ellipse and we know that the center is (0,0) and that the…

Q: (4, 5.5) 5 --3 2 -1 0 2 3 5 6 8 9 -2 V (4,-3.5) 2.

A: From the given diagram, Center (h,k)=((4+4)/2 , (5.5-3.5)/2) =(4,1) Length of…

Q: An ellipse is centered at the origin and its major axis is on the x-axis. What is the equation of…

A: Explanation of the answer is as follows

Q: What is the equation that represents an ellipse with foci at (3, 2) and (–9, 2) that passes through…

Q: Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (0,…

Q: Find an equation of the ellipse that has center (-5, 3), a minor axis of length 4, and a vertex at…

Question

Identify the equation of the ellipse that has the coordinates of its center C (5, 1), the coordinates of a vertex (5, 4), and the coordinates of a minor axis (3, 1).

(x – 5)2. (y – 1)²
= 1
(х — 1)2
(y – 5)2
1
9.
4
4
9
(x-5)*2/9+ (y-1)*2/4=1
(x-1)*2/4+ (y-5)*2/9=1
(x – 5)2, (y – 1)?
= 1
(x – 1)?, (y - 5)²
1
4
9.
9
4
(x-5)*2/4+ (y-1)*2/9=1
(x-1)*2/9+ (y-5)*2/4=1

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here