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Find the standard form of the equation of the ellipse1010-55410The standard form of the equation...

Question

Find the standard form of the equation of the ellipse1010-55410The standard form of the equation

Find the standard form of the equation of the ellipse 10 10-554 10 The standard form of the equation



Answers

Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. Foci: (±2,0)$;$ major axis of length 10

Our Phosa are negative 10 and 10 So let's gonna write that damn negative one zero and 10 Then our Vergis ing's our naked of 30 and 30 We're gonna plot those points and look at the graph of the lips. The graph helps us think about it away. I love graphing graph. Drawing the picture helps me think about a problem. So the straw that picture. So we've got a Phosa at negative 10 n f. Osa at 10 Then there's over Tait's 30 and another Vertex at negative 30 Now we can find the in points of the minor axis using our formula, say squared ankles. Hey, squared minus B squared Now sees the distance from the center to the Phosa noticed that the center is always the midpoint between the two Phosa. It's also the mid coin of those foresees, so our center is at 00 Now, the distance from the center to a Phosa. We'll call see and that's one. Then the distance from the center to one of the bird assays IHS three. So when we use this formula, C squared equals, I squared minus base square. Do you have one? Squared equals three squared minus B squared, so one equals none minus b squared. When you subtract nine, you have negative age ankles. Negative bay squared. This means that should be a squared is eight, and so that means you're be is plus or minus the square root of asset. And if you simplify that simplified that radical, it would be closer. Minus eight is four times two squared fours to, so that's two squirts it. Now. The square root of nine is three, so the square divide it's gonna be a little less than three. So let's, um, find that coin in the more count down almost three. And there's our lius Now let's write the equation. Remember that the standard form of the equation is it's minus age squared over a squared plus y minus K squared over B squared equals one HK. That's your center. So that is its modesty. Rosa, that's just that squared and you're a squared was none because it was three squared. Plus, now why minus zero squared that's just y squared over Now R B squared is eight, and then this equals that is

Hello, friends. Where to find the equation of the Ellipse with the given characteristic center at the origin and the focus plus minus four comma zero plus minus four comma zero The sister folkie and the center is zero comma. Zero center is zero comma zero and the measure access major access length or major excess is given by construction. Mhm. So progress, it's on the x axis. So the major axis victory major axis will wither xxx to age close to 10. So it cost 25 okay. And support that. This is the olives X X is and this is a Y axis. This is a center zero comma zero. This is a focus. Four comma zero mhm minus four, comma zero. Okay. And this is the length B and this is the length. Uh huh. And we know that we have relation. And this is the when this is the rest. And see if we have a listen. Yeah, is quickens to be squared plus c square from here. She is four at age five. So we will get the value of B. So be scrub is close to 25 minus 16. So we will be three so we can write the equation of the parabola. Sorry question of their lives that is X minus edge, holy square by square plus y minus K whole article by B. Squared equals to one H. Comma K is given zero comma zero that is centered. So access query cost to age five. So it will be 25. So y minus. K Hole is called K zero. It will advise car by B Squared B squared is nine. That is the question one. I hope I answered your question. This will be your answer. Who? Their lips. This is the equation of the lips. Yeah. Thank you.

We are given this graph forced to fine the sent off the lips. Weaken the sketch it on. Find the center off the ellipse. The center is given us to coma minus one. This can be seen from inspection. We also notice from the craft that is equal to fool. That is the right most coordinate minus two equals toe B equals one. This is all my inspection. So I equation for the LF since Kevin my x minus do the holes were born full plus by plus one, the holes for upon one equals one.

We are given this craft and some this by inspection will find the center off the ellipse the center off the ellipsis given by the coordinate to go Montri on a hill is really three from the craft on B as equal do one. So the immigration off this ellipse as X minus two the whole square plus by my industry the holes where upon nine equals one.


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