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Mmttnahum_7 #Ehrsmdy narnkt enena Fil%a an = flicdeney 64 0,1, andllela atiutr ? that IES only mechansm to doxpila il Raua [at hin Mettli I0 L6upehou AcE[ tne ehntn...

Question

Mmttnahum_7 #Ehrsmdy narnkt enena Fil%a an = flicdeney 64 0,1, andllela atiutr ? that IES only mechansm to doxpila il Raua [at hin Mettli I0 L6upehou AcE[ tne ehntneeheatArtentnl(ae Kmetrantu#UCanaleed, etantnecn a

mmttnahum_7 # Ehrsmdy narnkt enena Fil%a an = flicdeney 64 0,1, andllela atiutr ? that IES only mechansm to doxpila il Raua [at hin Mettli I0 L6upehou AcE[ tne ehntneeheatArtentnl(ae Kmetrant u#U Canaleed, etant necn a



Answers

a. $\left(64 a^{4}\right)^{1 / 2}$ b. $\left(64 a^{4}\right)^{-1 / 2}$ c. $-\left(64 a^{4}\right)^{1 / 2}$ d. $\frac{1}{\left(64 a^{4}\right)^{1 / 2}}$

K two Cr awful gives a yellow precipitated it's a yellow policy heated on reaction with on reaction with Be a two plus, as well as B B two plus, therefore, option C and option the uh, correct answer for this problem, Option C and option B. R. Correct answer for this problem.

Let's begin by adding a over be X minus one to both sides of our equation. When we do this, we see that we end up with Be over. X minus one equals a over be X minus one. Let's use cross products to set up an equation on this side. We have B times the quantity B X minus one. When we expand this out, we get B squared X minus B On the other side, we have the quantity X minus one times A. When we expand this out, we get a squared X minus a. Let's begin to bring like, terms to the same side. So let's subtract a squared X from this side and bring it to here at the same time. Let's add be to both sides to remove it from our left side and bring it to our right. When we do this, we now have B squared times X minus a squared times X equals B my to say next, let's pull out an X and using the distributive property, we get X times. The quantity B squared minus a sward equals be my to say to get X alone. Let's divide both sides by the quantity B squared minus a squared That leaves us with X on one side. So we now have X equals quantity B minus a, all divided by B squared minus a square. Well, the quantity b squared minus a squared can be rewritten. So we have B minus a on the top and then on the bottom we have be minus a times be plus a. As you can see, we have a quantity B minus a, both on the top and bottom. Thus it will cancel out and become one, so we get X equals one over be plus a.

I are looking at question six. They give us a list of coordinates and ask us to prove Triangle ABC similar to triangle 80. So I'm gonna dive right in. If your teacher likes you to have ah given written out, you can copy down the coordinates and right, that is your given eso We're gonna dive in first by finding the lengths of some of the sides. So we want to find a B. Since a Anglais isn't both of them, we're gonna find a B and the length of that. And to do that, we use our distance formula. If you remember that from earlier. And so I'm gonna have the X coordinate a B, which is negative one minus the x coordinate of a which is zero all squared, plus the Y coordinate of B, which is positive one minus the y coordinate of a which is zero squared. So a B is equal to negative one minus one is negative one and then when you square you get positive. One and one minus one is one and you're square and you get one. So this is going to equal the square to to then we need to do on the same triangle A C and again we'll take the X coordinate of See, you could use a first. I just tend to use the central one first. So three is the X coordinate for C minus zero the X coordinate for a and then plus the X coordinate of cr y cornice RNC, which is to minus the y cornet of A, which is zero all squared. So this shouldn't be anything new. This is the distance formula they did earlier in the air. And so three minus zero is three square and you get nine and Tu minus heroes to square any of four. So that's equal to the square root of 13. And now we need to find the scale factor to show that these two sets of sides that we're gonna dio are proportional. So we'll put a B over a C and that'll equals square to two over square to 13. Now we could try to rationalize this, but in this case, because we're just trying to show that they have the same scale factor unless your teacher requires that you rationalize, it's actually just a ZZ toe. Leave it like this and then you will be able to see that it reduces to the same values when we do a D and A. So that's our next step is to do a D and find the distance for that. And then we'll find the distance for a E and set up a similar ratio. So for a D, the X value for D is negative two minus the X value for a which is zero all squared plus the Y value for D is positive, too, minus the y value for a which is zero. So a D is equal to negative two. So the square root of negative two minus two is negative. Two. And when you square it, you get positive for and to minus zero square it is positive for So this is swear to eight. We do need to simplify this, so that will be able to see the relationship. And so the square root of a is the square root of four times the square to to which means that's two square did, too. Now we're gonna do the same thing for a E, and we'll use the y coordinate for E, which is six minus zero for the are sorry the X coordinate for E, which is six the X coordinate for a, which is zero. And then we'll do the Y coordinates for both. So that would be four minus zero. And those are all squared using our distance formula. So a E is six minus 06 squared is 36 and four minus zero is four squared is 16 so that equals the square root of 52. And again, we need to simplify this for our comparison. So the square to 52 is the square root of four times square to 13 and that equals two square to 13. So now when we compare these as we did on the left, we have a D over A e which equals two square or two to over two square to 13 and our twos divide out. Since they're both not underneath the square root. And so we can see that we have the same ratio square to to over square to 13. But we're not quite done since this is a proof, we have to finish it out with our statement. So I'm gonna see if I can slide down a bit here and now we need to give our reasoning for our proof and say our final proof statement. So we're gonna say that sends a B over a C is proportional or equal to a de over a e. So that gives us two cents asides being proportional two sets, asides and each triangle. So there's actually four sides. Um, and we know that angle A is concurrent to itself by reflexive property. So angle a is concurrent angle a my reflexive property. Then we know that triangle ABC is similar to triangle A d e e by side angle, sign, similarity and then we're finally done.

Hello. The ocean is taken from mattresses. And the question is if A is equal to W minus W. And my zero and W. And we is equal to 1 -1 -1 1. 1 -1 -11. Then what will be the very low if so let us evaluate A for a four is equal to a squared wrote a square. So let us evaluate a square first W minus W zero W minus the group zero. And you Into W- of U zero. And then the blue that is equal to w square W into minus w minus w square last W square. And here zero into W 0W in 200. So we went to minus W jail. Yeah, thank you. Z O W W W space. So that is equal to it's fairly frequently W square 00 W square. Let us multiply with a square square which is able to aid to the powerful and that is equal to w square 00. The blue square. It is a kind of identity metrics with multiplication of the blue square. So the blue square 00. The square. And that physical too. W to the power 400 W. To the powerful And so they did equal to W four into 100 which is W4 input identity matrix. So let me check whether this is in resolution. This is not in the solution and that is miners of you. I think it must be minus of W. Let me check if I'm using it minus of W. If I use it as minus of the group. And what will be the solution? I think I I did everything right but the option is not there which is ultra minuses W. So minus of W. 12 W minus W. Spear minus of loose girl. The newspapers to the views and in this case also the blue minus the square minus W minus two W. Square it and minus W minus one minus two W. One second -2. The blue space there will be minus the green place of the blue in place of deal. So they would be minus of review. Okay so let me correct details. So minus W. Scale. Yeah W. Scale and this will be the blue scale. So here we get to the scales and yeah -2. The Blue Spirit -2. The Blue Spirit. So a four will be, we can save just I love chicken two W. 4 W. to the power for women. Yeah four w. to the power for so 1 -1 -11 1 -1 -1. So that will repopulate me correctives. Oh so these were the charges. No Okay four W. to the power for one into 1, one -1 plus one -1 -1 -2 minus went into one mile, went into minus one minus my one plus 12 and this will be four. So that will be eight into the blue for and 1 -1 -11. So eight W. Fall into. So we just required solution of the situation. I think there must were the glue scare. Also they are missing that with you. So all these years without and thank you. Oh!


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