13. Complete the square and find the vertices of this ellipse: 25x² +50x +4y² –16y = 59 A) (-3,2), (1,2) В) (-5,2), (5,2) с) (-1,7), (-1,-3) D) (7,-1), (-3, -1) E) (2,-3), (2,1) F) None of these
13. Complete the square and find the vertices of this ellipse: 25x² +50x +4y² –16y = 59 A) (-3,2), (1,2) В) (-5,2), (5,2) с) (-1,7), (-1,-3) D) (7,-1), (-3, -1) E) (2,-3), (2,1) F) None of these
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
PLEASE DO NOT USE A CALCULATOR. Answer must match answer choices. There is only one right answer. If answer is none of these choices than your answer is wrong please check your math
![**Problem 13: Complete the Square to Find Ellipse Vertices**
Given the equation of the ellipse:
\[ 25x^2 + 50x + 4y^2 - 16y = 59 \]
Complete the square and determine the vertices of the ellipse from the following options:
A) \((-3, 2), (1, 2)\)
B) \((-5, 2), (5, 2)\)
C) \((-1, 7), (-1, -3)\)
D) \((7, -1), (-3, -1)\)
E) \((2, -3), (2, 1)\)
F) None of these
**Instructions:**
To find the correct options, follow these steps:
1. Rearrange the equation by grouping the \(x\) and \(y\) terms.
2. Complete the square for both the \(x\)-terms and \(y\)-terms.
3. Rewrite the equation in the standard form of an ellipse.
4. Identify the vertices according to the standard form.
5. Choose the correct option from the provided choices. Remember that the vertices are determined by the values of \(a\) and \(b\) from the standard form equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdaa77415-d220-4776-9d7c-d055c20faba9%2F72fa4b9a-4383-46be-ab48-2bebe364f74a%2F6g7wwqr_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 13: Complete the Square to Find Ellipse Vertices**
Given the equation of the ellipse:
\[ 25x^2 + 50x + 4y^2 - 16y = 59 \]
Complete the square and determine the vertices of the ellipse from the following options:
A) \((-3, 2), (1, 2)\)
B) \((-5, 2), (5, 2)\)
C) \((-1, 7), (-1, -3)\)
D) \((7, -1), (-3, -1)\)
E) \((2, -3), (2, 1)\)
F) None of these
**Instructions:**
To find the correct options, follow these steps:
1. Rearrange the equation by grouping the \(x\) and \(y\) terms.
2. Complete the square for both the \(x\)-terms and \(y\)-terms.
3. Rewrite the equation in the standard form of an ellipse.
4. Identify the vertices according to the standard form.
5. Choose the correct option from the provided choices. Remember that the vertices are determined by the values of \(a\) and \(b\) from the standard form equation.
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