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[-/1 Points]DETAILSTRMODPHYSS 8.2.P.017.What are the possible values of Jz for the 8269/ state? (Select all that apply.)O:2hOt4h:5hOt 3Oz 7hOt I1n...

Question

[-/1 Points]DETAILSTRMODPHYSS 8.2.P.017.What are the possible values of Jz for the 8269/ state? (Select all that apply.)O:2hOt4h:5hOt 3Oz 7hOt I1n

[-/1 Points] DETAILS TRMODPHYSS 8.2.P.017. What are the possible values of Jz for the 8269/ state? (Select all that apply.) O:2h Ot4h :5h Ot 3 Oz 7h Ot I1n



Answers

Find the $\mathrm{S}, \mathrm{L}$, and $\mathrm{J}$ values that correspond to each of the fol. lowing states: ${ }^{1} S_{0}$. ${ }^{3} P_{2}$. ${ }^{2} D_{3 / 2}{ }^{5} F_{5},{ }^{6} H_{5 / 2}$.

This tutorial goes over how to solve problems. 33 from Checker three, Section five. So we were given some information about two lines. We have learned M m n and line pick you on were given the information that these two ones are perpendicular, so we're given the full coordinates of Point M and M. I. Am is a recording of 21 And is that coordinate of negative 30? And then we are given partial equipments for our second line for paint P were given a variable for X and the value. Why the value wise is four and then for point Q were given the X value of three. But we're missing a Y value and so were instructed to use the given information and the slope formula to come up with some potential values for those missing pieces at X and that why, from the peak you line quarters. So if we're talking about perpendicular lines, we have to know that the slopes off perpendicular lines are negative with the girls. So just a brief reminder s So if I have, um, a line whose slope is three forts, then line perpendicular to that the perpendicular slope would be negative. 4/3 withnegative reciprocal or opposite Reciprocal on. So I have to find the slope of line. And then because only then will I know what this will do is supposed to be so the slope equation this look formula is watching. My is why one over extra minus x one, and I'm gonna make my end Coordinate My second, My second back. Uh, coordinate. So why to in this case, is that why value from the corner, which is hell minus why one which is the one coordinate from the m The point and then X chew which again from end is going to be negative three minus x one, which is from the I'm coordinate and is too. So now if we do zero minus one, we get negative one and negative three minus two is And if we simplify that negative one over negative five Canzler negatives, there is negative divided by my head and it's positive. So our slope of line em and is 1/5 or 1/5. Now we are looking for the negative reciprocal a fact. So the reciprocal of 1/5 is 5/1 and the negative reciprocal of the original original slope is negative because the original focus positive. Therefore, the reciprocal negative or Super bowl would be naked. So now that I know what this look with Aunt Line P Q. Has to be. I can solve for those missing values in the P and Q coordinates with light. So let's say for P So for P the slope that missile G p s o the sober em of peaky the slope of Peak you cereal. Um, um, I'm gonna use my y two. Well, in this case, the UAE There the Y values of the equipment is still just why. So it's my y two minus y one, which is the value of the Pequot isn't which is for over X to which is your ex value in the queue coordinate minus X warm. It's here is the missing corner, and I know that that has to equal negative five over one. And so I can actually treat the numerator and denominator of this system as its own separate equation. And that's because that this is not a fracture. It is in ratio. So the two quantities are separate. They don't rely on the aspect of division to exist, so I can actually set up to equation single linear equations. Why squared minus four has to equal negative five and then three minus X has to equal one. So in order except Syria and order to figure out the value possible value of these missing coordinate pieces just gonna solve the equation. So I'm gonna add four to both sides. Why, to this is nothing now is going to equal negative one because the negative five course for is getting one. So but then I'm gonna d'oh my ex cornet on. I happen to not like working with negative X coordinates. So I'm actually just gonna rearrange this s o that it's three equals one plus the x value on Then I can go from there because that way, you don't have to worry about dividing up negatives and such. So we're gonna attract one for both sides, and then we're gonna get to is our missing X variable e. And that means if I used to, as my variable three minus two is going to give me one. So, um, negative one minus four is negative five and then three minus two is one on DSO. This is a possible coordinates set four. The coordinates of line P Q. So X could equal to. And why could he call that gave one.

Okay, so we want to find the values of the rebels for which each seeming here is true, if possible. So let's recall that two major cities are equal to Asia. Earth, our position or each elements are equal to each other. So we're gonna have X Plus two is equal to native to so subjection to on both sides. We get X is equal to negative for and now we have why money? Six. Is it good to eight, which had 60 both sides. So what is 86? We get that. Why is he going to 14? And then we have W plus five c three. It's a track five on both sides. So let's give just that W What's people too negative, too? And then last name we have C minus three is you could go. So we're gonna have to be able science. And this gives us that. See, is you got to drink

Now here on this, probably have the matrix expose to why minus six. Z minus three. And w plus five is equal to the matrix. Thank you too. Eight zero three. And we want to find the very we want to find the values of all variables. Now for two matrices to be equal to each other, correspondent components must be equal. And so that means in order to solve this, we're going to set corresponding components equal to one another. Now let's begin. Then in the top left, We know that X-plus two must be for the negative to be just by setting the top left equal to each other. No, this tells us X is -4 In the top right may have Y -6 and eight and so y minus six is eight. And so we get why is equal 14 In the bottom left we have Z -30. And so that tells us that he is three. And then in the bottom right We have w plus five is equal to three, So W is -2. And so we set corresponding components equal to one another, and that gave us the value of the four variables. X is negative four, why is 14, Z is three and W is negative two.

But it so I want to find a falling values that make these two major cities equal to shoot it. That's no, that's zero is equal to Joe, and then you have five is You call to Tokyo and then we also have The X is equal to six. This time we have negative one is equal traded one. This is true. Three is your dream wire cost. Two is equal to John solving for why we get wise equal feel made of two foraging for wanted one and it is great So we feed out These two agencies are equal if w x and y are useful to falling numbers.


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