# Algebra 2

posted by .

Write the following equations in standard form.

1) x^2 - 2x + y^2 + 4y = 11

answer: (x-1)^2 + (y+2)^2 = 16

2) 4x^2 + 24x - y + 34 = 0

answer: y = 4(x-3)^2 + 2

3) The graph of which equation is a circle?
A. 5x^2 + 10x = 9 + 5y^2
B. 5x^2 - 10x = 0 - 5y^2
C. 5x^2 + 5x + y^2 = 9

4)Find the exact solution (s) of each system of equations:
x^2 + y^2 = 25 and 9y = 4x^2

5)Which is the equation of an ellipse with center (-4,2) and a horizontal major axis?

answer: (x+4)^2/16 + (y-2)^2/4 = 1

• Algebra 2 -

2 is wrong. Recheck your math regarding the constant.

In 3, C is not a circle because the coefficients of x^2 and y^2 are not equal and not on the same side of the = sign. For a circle, one must to be able to rewrite it as

(x-a)^2 + (y-b)^2 = constant

• Algebra 2 -

Would #2 be y=4(x+3)^2-2 and #3 5x^2-10x=0-5y^2?

• Algebra 2 -

Yes!

## Similar Questions

1. ### MATH/ Check?

Correct. what is pi The definition or the number?
2. ### algebra

1)Write an equation for an ellipse if the endpoints of the major axis are at(1,6)and (1,-6)and the endpoints of the minor axis are at (5,0)and (-3,0) answer= (x-1)^2/36+y^2/16=1 2)Which is the equation of an ellipse with center (-4,2)and …
3. ### algebra

4)Write the equation x^2-2x+y^2+4y=11 in standard form. answer= (x-1)^2+(y+2)^2=16 5)Write the equation 4x^2+24x-y+34=0 in standard form answer= y= 4(x-3)^2+2

Can someone help me solve this: Decide all values of b in the following equations that will give one or more real number solutions. (a) 3x^2+bx-3=0 (b) 5x^2+bx+1=0 (c) -3x^2 +bx-3=0 (d) write a rule for judging if an equation has solutions …
5. ### Algebra one :)

How do I write these following equations into standard form?
6. ### Algebra 1

Write an equation in standard form of the line that passes through the given point and has the given slope m. Can someone check my answers (-2,6) m=1 -1x+y=8 (-7,8) m=-3 3x+y=-13 (9,-10)m=-4 4x+y=26 (-15,-4)m=1/2 -1/2x-y=23/2
7. ### Algebra 1

Write an equation in standard form of the line that passes through the given points. Can someone check my answers?
8. ### Math Check

Hi! Can someone check my answers? Thanks! Directions: Solve each system by using the elimination method. Make sure to write your answer in (x,y) form. 1.) 3x-5y=2 2x+5y=13 2.) 3x+11y=4 -2x-5y=9 My answers: 1.) (3,7/5) 2.) (-17,5)
9. ### precalculus

please check my answers 1.Use Gaussian elimination to write the system of equations given below in row-echelon form. 2x+4y+z=-4 2x-4y+6z=13 4x-2y+z=6 answer:2x+4y+z=-4 8y-5z=-17 z=1 2.Find the solution to the system of equations given …