Algebra 2 Assignment Ellipses

Unformatted text preview: Kuta Software - Infinite Algebra 2 Name___________________________________ Period____ Date________________ Graphing and Properties of Ellipses Identify the center, vertices, co-vertices, foci, length of the major axis, and length of the minor axis of each. 1) x 2 49 + y 2 169 = 1 2) x 2 36 + y 2 16 = 1 3) x 2 95 + y 2 30 = 1 4) x 2 169 + y 2 64 = 1 5) x 2 64 + ( y- 6 ) 2 121 = 1 6) ( x + 5 ) 2 81 + ( y- 1 ) 2 144 = 1 7) ( x- 3 ) 2 49 + ( y- 9 ) 2 4 = 1 8) x 2 64 + ( y- 8 ) 2 9 = 1 Graph each equation. 9) x 2 4 + y 2 9 = 1 x y-8-6-4-2 2 4 6 8-8-6-4-2 2 4 6 8 10) x 2 49 + y 2 = 1 x y-8-6-4-2 2 4 6 8-8-6-4-2 2 4 6 8 11) x 2 36 + y 2 25 = 1 x y-8-6-4-2 2 4 6 8-8-6-4-2 2 4 6 8 12) x 2 9 + y 2 49 = 1 x y-8-6-4-2 2 4 6 8-8-6-4-2 2 4 6 8-1- 13) x 2 49 + ( y- 3 ) 2 16 = 1 x y-8-6-4-2 2 4 6 8-8-6-4-2 2 4 6 8 14) ( x- 1 ) 2 4 + y 2 49 = 1 x y-8-6-4-2 2 4 6 8-8-6-4-2 2 4 6 8 15) x 2 49 + ( y- 1 ) 2 9 = 1 x y-8-6-4-2 2 4 6 8-8-6-4-2 2 4 6 8 16) ( x + 5 ) 2 + y 2 49 = 1 x y-8-6-4-2 2 4 6 8-8-6-4-2 2...
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Michael J.

East Elmhurst, NY

To 2 decimal places, what is the value of d?

An ellipse has equation ax2+by2=c where a = 20, b = 45 and c = 232. One of the vertices, (0, d), lies on the positive y-axis. To 2 decimal places, what is the value of d?

Oct 23 | Mary from New York, NY | 1 Answer | 0 Votes

EllipsesAlgebra

Kenneth S.

Mesa, AZ

Find exact equation of tangent line and normal line

find equation of tangent line and normal line given x2/25 + y2/9 = 1 with coordinates (5sqrt(2)/2, 3sqrt(2)/2)

Sep 21 | Javier from Tempe, AZ | 1 Answer | 0 Votes

EllipsesTangentDerivativesNormal EquationTangents And Derivatives

Kenneth S.

Mesa, AZ

The equation

The equation 4x^2+9y^2-36y = 0 defines a shifted ellipse. Write this equation in the standard form, find the center, focus, vertices of this ellipse, the lengths of major and minor axes and sketch...

5/18/2016 | Bob from Santa Clara, CA | 1 Answer | 0 Votes

ConicsEllipses

James B.

Bowie, MD

An arch is in the form of a semi-ellipse whose span is 24 feet wide. The height of the arch is 10 feet. Find the equation of the ellipse.

A. x2/24 + y2/10 = 1 B. x2/144 + y2/100 = 1 C. x2/100 + y2/576 = 1 D. x2/576 - y2/100 = 1

5/5/2016 | Uriah from Birmingham, AL | 1 Answer | 0 Votes

EllipsesAlgebra 2Algebra Word ProblemNo answers ... yet!

State the coordinates of the center, the major and minor axis and their lengths and change in to either standard or expanded form.

(X- 4)2/ 36 + (y + 2)2 / 100 = 1

3/22/2016 | Josh from Emporia, VA | 0 Answers | 0 Votes

Ellipses

Jordan K.

Niagara Falls, NY

I need help with ellipses and graphing them. Help would be appreciated

standard form of 3x^2+5y^2-12x+30y+42=0

9/16/2015 | Judith from Austin, TX | 1 Answer | 0 Votes

Ellipses

Phillip R.

North Providence, RI

write the equation of an ellipse centered at the origin that has a horizontal major axis, e=1/2, and 2c=1

how do I solve this, write an equation of an ellipse center at the origin that has a horizontal major axis,e=1/2,and 2c=1

9/15/2014 | Karen from Pompano Beach, FL | 1 Answer | 0 Votes

Ellipses

Phillip R.

North Providence, RI

Given the Ellipses formula, I need help in how to solve for b^2.

x^2/a^2 + y^2/b^2 = 1 solve for b^2

9/15/2014 | Estefany from Irvine, CA | 1 Answer | 0 Votes

Ellipses

Francisco E.

Miami, FL

Find the vertices, foci and eccentricity of the ellipse. 9x2 + y2 = 81

Find the vertices, foci and eccentricity of the ellipse. 9x2 + y2 = 81 I would like to see the steps and the answer to better understand it

5/17/2014 | Mohammed from Massapequa, NY | 1 Answer | 0 Votes

FociEccentricityEllipses

Robert J.

Scottsdale, AZ

Vertex at (0,5); co-vertex at (1,0)

Write an equation in standard form for the ellipse with the center at the origin 

5/16/2013 | Kelli from Mansfield, TX | 1 Answer | 0 Votes

Ellipses

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