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The Equation of the relation x^2+y^2 -10x -8y= -16 is the graph of an ellipse. solve this equation for y so that you could graph the equation.

2007-12-13 11:59:10 · 8 answers · asked by Roxanne P 1 in Education & Reference Homework Help

8 answers

cut yourself?

2007-12-13 12:05:30 · answer #1 · answered by Joe G 4 · 0 0

Don't cut yet, read this first! It requires completing the square for y. Arrange the 2 y terms at the beginning and put the rest on the other side

y^2 - 8y = -x^2 + 10x - 16

Then do the square part, (y-4)^2 (it's always half the y coefficient)

Do this out: (y-4)(y-4) = y^2 - 8y + 16

To complete the square add the extra 16 to the other side

(y-4)^2 = -x^2 + 10x

Now square root both sides, be sure to include +/-

y - 4 = +/- sqrt (-x^2 + 10x)

finally add 4 to both sides: y = +/- sqrt(-x^2 + 10x) + 4

The + part graphs half the ellipse' the - part graphs the other half, as an ellipse is not a function

2007-12-13 12:12:23 · answer #2 · answered by hayharbr 7 · 0 0

note: you cannot graph an ellipse on a graphing calculator
this is how you simplify an elipse problem, just write this on your sheet.. its just one problem and your teacher probably wont notice the difference

x^2 + y^2 - 10x - 8y = -16

[(x-5)^2]/25 + [(y-4)^2]/25 = 1

and to graph this make the center of the ellipse (this equation is acutally for a circle, a type of ellipse) at (5,4) and make the radius 5. Good luck!

ps. its just a math problem.....don't worry so much about it... its super confusing but not worth cutting yourself

2007-12-13 12:24:20 · answer #3 · answered by Jane 2 · 0 0

X^2 + y^2 - 10x - 8y = -16
X^2 - 10x = -y^2 + 8y - 16
[X^2 - 10x] * -1 = [-y^2 + 8y - 16] * -1
-X^2 - 10X = Y^2 - 8Y + 16
-X^2 - 10X = (Y - 4)^2
[-X^2 - 10X]^(1/2) = Y - 4
[-X^2 - 10X]^(1/2) + 4 = Y

2007-12-13 12:28:19 · answer #4 · answered by DJ 2 · 0 0

First of all, don't stress over this math question, and what kind of friend is telling you to cut yourself?
I don't see enough information in here, ask an adult, such as your mom, for help...

2007-12-13 12:04:48 · answer #5 · answered by Rose Willow 4 · 0 0

no your no longer on my own, i decrease to launch anger and to punish myself. it does develop right into a habit, yet you are able to desire to objective to get out of the cycle in any different case- the longer you carry it on, the extra good it extremely is going to likely be to ultimately stop once you are able to desire to. you are able to desire to come to a decision directly to stop, so which you would be able to desire to objective to discover the area of your concepts that needs to. please stop, to instruct which you would be able to, whether its basically for a at a similar time as. in case you dont, then in simple terms comprehend the outcomes (scars) and the end result they'd have on individuals on your lifestyles. your boyfriend would desire to stay removed from you if he's have been given you in to this, he's no longer healthful to be around. message me if u would desire to desire this facilitates

2016-10-11 05:55:21 · answer #6 · answered by ? 4 · 0 0

Factor first, then try to solve for y

2007-12-13 12:10:20 · answer #7 · answered by big dawg 3 · 0 0

I don't know the answer but don't cut your self.

2007-12-13 12:07:48 · answer #8 · answered by rie 3 · 0 0

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