5

Finc equation of 7=i-cos(9)rectangula ccorcinates...

Question

Finc equation of 7=i-cos(9)rectangula ccorcinates

Finc equation of 7=i- cos(9) rectangula ccorcinates



Answers

Solve each nonlinear system of equations. Give all solutions, including those with nonreal complex components.
$y=6 x+x^{2}$ $4 x-y=-3$

In order to solve this system of nonlinear equations, I'm going to use substitution. I'm going to choose to take our second equation and solve it for X. That gives me X equaling 12 divided by Why? Now let's take that value of X and substitute it back into our first equation. Three times X squared minus y squared equals 11. Okay, getting rid of my parentheses, I have 432 over Why squared minus y squared equals 11. I am going to multiply both sides of this equation by Y squared, and I'm going to move everything to the right hand side of my equal sign so I can set it equal to zero in my first term will be 432 and moving it to the other side of my equation will make that negative. I will have y to the fourth and 11 y squared. This is a factory herbal equation. I end up with y squared minus 16 or why squared plus 27 and setting. Each of those factors equal to zero gives me these two values for y squared. So what's the value of why? Well, why squared equal 16 gives me two possibilities. Either y equals four or y equals negative. Four. Likewise, when y squared equals negative 27 that's two possibilities as well. It's either going to be three square root of three I or negative three square root of three i four possibilities for why? Let's go back to our equation that I just marked in red Plug that value for Why in and see what X comes out? Well, the first to the math is quite simple. 1st 1 X equals three. And if why is negative four X's negative three. So those are two options. Now let's look at the others. In this case, X is going to be 12 divided by why, and I'd like to have a rationalized denominators. I'm going to multiply the top and the bottom by square root of three times I on the top. I'll have 12 square root of three I in my denominator. The I squared is a negative. I will have negative nine, and that can simplify can divide top and bottom by three, and I get negative four skirt of 3/3 I. So that is my third possible point. Negative four square to three divided by three I. And why is three square root of three I our fourth point. The masses would be identical. The only difference is I'm gonna have another negative in there. So instead of ex being a negative for square root of 3/3 I, it will be positive. So those are my four points before we say we're done with this problem, though we really need to check our answers. So let's start with our 1st 2 points. The ones I've just marked in green. We're gonna go back to our first equation, the one in blue, and make sure that they work well for both of these points. Whether is a positive three or negative three? Whether it's a positive four or negative four squaring gives me the same values for both points. So I will end up with X squared equaling nine. No matter which of those two points I use, why squared will be 16. Does that equal 11? Yes, it does. 27 minus 16 is 11. Both of these points work. Now let's look at our other two points. We're gonna do the same thing. Math is a little bit more complicated, but not too bad for both of them. Let's take a look at X squared. No matter which point of these I use, X Squared will give me the same value. So I will have negative four times square root of 3/3 I and I'm going to square that. So that gives me 16 times three on top. I will have nine on the bottom, and I squared is a negative. So when I simplify this out, I get negative 16 3rd And if I had done the positive, it would give me the exact same value. Okay, what about why squared? Well, three square root of three I squared or negative three square root of three I squared will both give me negative 27. So let's plug those values into our equation. Three times X squared, minus y squared Willem subtracting a negative. So that's adding equals 11. My threes cancel and, yes, sit negative. 16 plus 27 does, in fact, equal 11. So these two points also satisfy both equations

What point or points satisfy the two equations given in this nonlinear system of equations. Well, to tackle these problems, sometimes we can use the substitution method. Um, sometimes we use the elimination method. This particular problem is well set up for the substitution method because the first equations already set equal toe. Why? So I'm going to take the second equation and I'm going to plug in my new value for why X squared plus six acts plus nine. I want to clean this up a little bit. Let's get rid of our parentheses. That's two X squared plus 12 X plus 18. And let's set everything equal to zero. That gives me two X squared plus 13 X plus 20 equal zero. This is a factory herbal. Try no meal. It factors into two X Plus five and X plus four. Solving these. I'm gonna put this on top where I've got a little more room. The first factor gives me a value of X of negative five halves. The second factor gives me an ex of negative four. Now let's take those values of X and plugged them into our equation here. That top ones nice. It's already solved for. Why? To find out what? Why corresponds to these exits? So the 1st 1 X squared well, negative five have squared is 25 4th plus six times negative. Five haps. Well, that's negative. 30 halves or negative 15 plus nine negative. 15 plus nine is negative. Six six is 24 2024 4th Which means that when I do that subtraction, why equals 1/4. So here is my first point negative. Five halves, 1/4. What about my second X X equals negative. Four. Well, when I plug that in, I get negative. Four squared 16 plus six times negative. Four. That's minus 24 plus nine. 16 minus 24 is negative. Eight. Negative eight plus nine is one. So my second point is negative for one. Before we say we're done with this problem, it's a good idea to be in the habit of checking your answers. You make sure that there isn't anything odd going on with the problem, but it also catches any math mistakes you might have made. Because these points have to satisfy both equations. We use the blue equation to find why. So let's use the other equation that I've marked in red to check our answers in this case X negative. Five halves plus two. Why? While two times of fourth is 1/2. Does that equal negative too? Yes, it does. Negative five have plus 1/2 is indeed negative to it works. How about our second points? Well X is negative. Four, two times one is two. And yes, negative. Four plus two is indeed negative too. So both points work in both equations.

In this problem, we are asked to solve this system of non new equations. Where the first equation is a quadratic equation and the second one is a linear. So whenever you have a quadratic equation which is a parabola, which is a. U. Shape, and the linear which is a line, you know that this system equation can have the most to solutions. So in order to find those two solutions, uh we need to solve this by using the substitution method. And the reason why I'm not considering the elimination method because you can see that your excellent wise are are not lined up and also none of the coefficients in front of the excess or otherwise are the same. So therefore it's easier if we just solve this by substitution method. And in the substitution method you you need to either isolate the X or the Y. Value. And it's easier to work with the second equation because it's a linear. So what I'm gonna do in this for this problem is I'm going to solve for y. Of course you can solve for X if you want to. So I think it's easier if you solve a wife for this problem. So the first day I need to do is to get rid of the X. So I'm going to subtract X on both sides. So that would give me two. Y Equals 2 -2 -X. And then to solve for why I'm going to the Bible sides by two and Hopes and that's well y equals two. Why equals two negative two minus X over two because two of the two becomes one. So basically cancels out. And now you're gonna put that back into the first equation you didn't use and substitute the Y with that box answer. So now we have, instead of Y equals we have negative two minus X Over two equals 2 x square Plus six x plus nine. So the first thing I need to do is to get rid of fraction. So to get refraction you always multiplied by the denominator. In our case since two. So the two is gone for the fraction. So now we have love with negative 2 -1 equals two and multiply everything by two. So first term becomes two X squared. Second term is 12 X. The third term is 18. And because this is a quadratic equation, I need to study equal to zero to solve for X. So I'm going to add to on both sides to 18 because they're like terms and add X on both sides to 12. So now we have again all this becomes zero so we have zero equals to two X squared plus 13 X plus 20. So now again you can either solve this by using the quadratic formula or by factory. And because this quadratic equation can be factored, I'm gonna solve it by factory. So I'm so I want to know the two numbers that will multiply give you 40. Okay, So you do two times 20. So two numbers that will multiply give you 40 but I'd give you 13 and that will be five and 85 times eight is 40. But if you add five plus eight it gives you 13. And because I got 40 from two, two times 20, so I need to divide both five and to buy two. So now I'm going to reduce the fraction. So this is 4/1. And now to read this fraction and right as a factor you read from bottom to top and we're exits at the bottom. So therefore the factor form for this equation is going to be zero equals to two. X plus five Times X-plus four. Okay. And and again anytime if you're not sure if you're factor is correct, you can always do the foil method and combine like terms and see if it's the same thing as your original quadratic equation. So now I have written this equation in the factor form. Now I can say each one equal to zero and solve for X. So my first equation two X plus five equals to zero. So you subtract five. So it's two, X equals two negative five. And then you divide it by two. So X equals two negative 5/2. My second one is going to be X plus four equals zero. So subtract four so X equals two negative four. So now I'm gonna plug each one of these into my linear equation. This one because it's a lot easier to find the white value. So now I'm gonna plug in so we have, instead of X plus two, Y. I'm going to have negative 5/2 plus two. Y Equals 2 -2. And uh soft and white. So you're gonna add 5/2 on both sides. So negative two plus 5/2 gives you two, Y equals two one half. And then when you divide by two half, half of half is 1/4. So Y equals to 1/4. So your first solution for this system of equations is negative five Over two and 1 4th. And my second solution where X is negative four. So this time I'm gonna plug in negative for so we have negative four plus two. Y Equals 2 -2. So now you're going to add four, negative two plus negative two plus four, that gives you two so it's two Y equals to two And why it's going to be one if you divide by two on both sides. So your second solution is gonna be negative four and what?

Be having been there. The system plenary KUSA will really variables x Y and Z has really removed one variable under this This is Terry believers this multiply the prison in a prison tea by Do this after the whistle. We're really blame my do any crescent e there the air takes less Pull away less Cappie Jed Musical D'oh! You know so drink the reason I do weaken active high Biggs less Pull away last wantedto j difficult to do you subjected Here This tray of minus and minus and minus a menacing x minus five X T v x four way minus. Poor way. It's called Geo catty everyday minus 22 j equals toe sicked. Inger, you do need a minute, dearie. You Now we have three x plus sitting Jer Jill, take Grissom for no multi play the dressing you need, Grissom One. Bye. Go. And also multi plane the crescent ti increase anti by teary This object They were someone with Chris Any by guessing Katie. But we mustn't blame the gristle in Greece In one bite you. When you get right here, it takes plus six way less 30. So tacky. Poor Jack Digital do you now multiplied? Thank you, sir. But, um, I play by chili in Vegas and tea so you can act too. You in a blessed six way 57 jail. Did you go? Do you know, sir, plate your medicine Medicine minus in menacing. It takes minus acrylics minus 46 six way minus six way geo can be. Can't deport get my next 57 Is chili toe contradictory Jail. Is he gonna do you? No. We had poor things. David Coleman minus woman from these items so you can die minus for knicks. Plus, don't get Terry j magical to deal. No multiply. Both said when you dip sign Then you can right here. Who next plus Terry J Jiggle to do a big reason. Hi. No Conceive a Grayson. Pour any Grissom pipe when she played a gruesome poor by, you know, in Vegas. Import by coal. Yeah, onboard the plane in a gruesome pie by TV. What do you want to play here by TV? Really? Plus 59 year is a good good You No big reason. Poor is here And Willie Playmate for the news right here do. It s less city Poor jail. You could You know something? Well, X minus two. Alexa Jiro 16 injured, minus 54 year e hide here. Is it going to do You have your little toe, Jiro The viable side by side in the value of village deal. No blood. The value of jail. Any Christian. Fine. Then you can compute the bell. Bo X. There isn't time high for X plus 20 into do you go to you? Four takes place. You people. Do you, Alexis, could do you not divide both sides by poor in the log entry. Also do not belong in the middle of X Y. X engine in a greaser one didn't get the middle up. What? Because someone easy for X Plus TV. White plus 17 year surgical. Jill the bellow of actually also zero plus for Terry. Why the cementing into Jill? You do you No great here, Jiro. Plus TV. Way less deal. You gonna do and tell me why did you not divide both sides by tears on the pillow exit? Why you all of these religious Jew, you have actually also Jiro. Well, look, why don't you the value of your leads us? Would you now, this solution satisfying the given system of linear Gibson. Jake, I love the agenda. So this pie or no luck this will in any Christian Hi, big were blooding in egoism. You don't get to get you going to do the digital. Plus pour into Ojito Last one people in June in angioplasty, you know, Plus Jiro Egypt, could you? So the regional todo did this statement. It grew So you can say that this solution satisfy the given system open yet? It was it. Thank you.


Similar Solved Questions

5 answers
Sreaton 2Ifa 10.0L ga5 cylinder contains nydrogen Drcsure191atm and terperature of 22.0what mass hyurozene Ruie the cylinder?
Sreaton 2 Ifa 10.0L ga5 cylinder contains nydrogen Drcsure 191atm and terperature of 22.0 what mass hyurozene Ruie the cylinder?...
5 answers
Problem 4: Clausius-Clapeyron points) The altitude on the top of Pikes Peak is 14115 ft_ The air pressure at this altitude is 0.585 atm_ The molar enthalpy of vaporization of water at 100 *C is 40.68 Use this information to mol predict the temperature at which water boils at the top of Pikes Peak:
Problem 4: Clausius-Clapeyron points) The altitude on the top of Pikes Peak is 14115 ft_ The air pressure at this altitude is 0.585 atm_ The molar enthalpy of vaporization of water at 100 *C is 40.68 Use this information to mol predict the temperature at which water boils at the top of Pikes Peak:...
5 answers
Mechanisms and syntheses with alcohols; ethers, and epoxides Maximum allowed tries per question: Unlimited(16) [3 points] Design synthesis of the following compound from an alkene and any uncharged metal-free compound containing no more than one C atom: You may also use any reagents from the reaction conditions menu:Launch Marvin IST vlewer_or_click_Image t0COPY sourceOHOMe
Mechanisms and syntheses with alcohols; ethers, and epoxides Maximum allowed tries per question: Unlimited (16) [3 points] Design synthesis of the following compound from an alkene and any uncharged metal-free compound containing no more than one C atom: You may also use any reagents from the reacti...
5 answers
Find tay lor Secies centeced cepresentation for 4L a-4. Simpl Fozhnc) 'fv Hat € Whee mas a possible . (asJume not Pawer series Show Rn-o) representatio Do Inl) =In(4)+ 2 0 0|
Find tay lor Secies centeced cepresentation for 4L a-4. Simpl Fozhnc) 'fv Hat € Whee mas a possible . (asJume not Pawer series Show Rn-o) representatio Do Inl) =In(4)+ 2 0 0|...
5 answers
Q3. ( 6 points) Find the derivative. cosx Y = '(1+v2)1dv
Q3. ( 6 points) Find the derivative. cosx Y = '(1+v2)1dv...
5 answers
Tel in OppOl mifh 1 1 1 3 1 1 4 1 4) = Or + 3 Asea mi apart - 1 24 One flew = 1 1 1 4 were 1 TUOOU JE ] L 3 'rectangle? "SJuHjal lfport / the 3 1 rectangle 1 "s(nmpu- 3 SUOISUJuip - length equation the 4 the ~and Inequalities 1 Geometry whether 24 cm. Equations; 1 Q 29. ions;
Tel in OppOl mifh 1 1 1 3 1 1 4 1 4) = Or + 3 Asea mi apart - 1 24 One flew = 1 1 1 4 were 1 TUOOU JE ] L 3 'rectangle? "SJuHjal lfport / the 3 1 rectangle 1 "s(nmpu- 3 SUOISUJuip - length equation the 4 the ~and Inequalities 1 Geometry whether 24 cm. Equations; 1 Q 29. ions;...
4 answers
DllPriority ServiceWhich of the following is an example of a Coustant Service L MDIl) queuing model? An information booth at malllAn airline ticket counter_An automated car wash one drill that may break down and require servicing An electrical department with onlyThe process of arrivals within queuing system follows Binomial distribution Exponential distribution Poisson distribution Normal distribution
DllPriority Service Which of the following is an example of a Coustant Service L MDIl) queuing model? An information booth at malll An airline ticket counter_ An automated car wash one drill that may break down and require servicing An electrical department with only The process of arrivals within q...
5 answers
A red laser (670 nm) shines on a double slit (slit separation 0.195 mm) What is the angle of the fourth order maximum (that is, the fourth bright fringe away from the central maximum)?
A red laser (670 nm) shines on a double slit (slit separation 0.195 mm) What is the angle of the fourth order maximum (that is, the fourth bright fringe away from the central maximum)?...
5 answers
Find equations the tangent plane and norma line at the point P1(4, parametric equations be the parameter )V51) the graph of the hyperboloid Uc-shect DIvcm by *2 Y2 _ 22 =(Write the norma Iine a5 comm? separatedtangent planenorma
Find equations the tangent plane and norma line at the point P1(4, parametric equations be the parameter ) V51) the graph of the hyperboloid Uc-shect DIvcm by *2 Y2 _ 22 = (Write the norma Iine a5 comm? separated tangent plane norma...
5 answers
Homework 5: Problem 2Previous ProblemProblem ListNext Problempoint) Find the differential of the function f(c,y)at (0,-1).df =
Homework 5: Problem 2 Previous Problem Problem List Next Problem point) Find the differential of the function f(c,y) at (0,-1). df =...
5 answers
4.2. Using reductive amination, suggest two fragments and reagents that could be used to make the compound below.MeOOH[3]
4.2. Using reductive amination, suggest two fragments and reagents that could be used to make the compound below. MeO OH [3]...
5 answers
(12 points) Consider the function f(z,y) In(z/y). Compute Vf. (b Find the directional derivative of f(T,y) at the point (1,1/2) in the direction of the vector 2,-1)_
(12 points) Consider the function f(z,y) In(z/y). Compute Vf. (b Find the directional derivative of f(T,y) at the point (1,1/2) in the direction of the vector 2,-1)_...
5 answers
Evaluate the expression for each value of $x$. (If not possible, state the reason.)
Evaluate the expression for each value of $x$. (If not possible, state the reason.)...
4 answers
Researchers are searching for life on other planets. Is itreasonable to expect that protein-based life forms could exist inextraterrestrial environments that are highly acidic? Explain whyor why not providing different lines of reasoning.
Researchers are searching for life on other planets. Is it reasonable to expect that protein-based life forms could exist in extraterrestrial environments that are highly acidic? Explain why or why not providing different lines of reasoning....
5 answers
ESiotnreantdannt falmd notnantRortd Nom Aeolyhnatralcunum lout
eSiot nreant dannt falmd notnant Rortd Nom Aeoly hnatral cunum lout...
5 answers
Remaining Time. aun 42 minutes, 22 seconds_Question Completon Status:LoJtWhich of the given structures are enantiomers of the boxed structure?OHOH MeMe Me OHMeMe H-~Ot H-~F MeH_FOH F_H MeMeIVand IVand IlIand Ivto search
Remaining Time. aun 42 minutes, 22 seconds_ Question Completon Status: LoJt Which of the given structures are enantiomers of the boxed structure? OH OH Me Me Me OH Me Me H-~Ot H-~F Me H_FOH F_H Me Me IV and IV and IlI and Iv to search...

-- 0.018459--