True or False? For any statement that is false, change the conclusion to make it true. If AoB = A, then BgA.b If AUB = A, then BE A.If A-B= A,then BEA.d. For any tw...

True–False Determine whether the statement is true or false. Explain your answer. If $\mathbf{a} \cdot \mathbf{b}=\mathbf{a} \cdot \mathbf{c}$ and $\mathbf{a} \neq \mathbf{0},$ then $\mathbf{b}=\mathbf{c}$

In this problem or being asked if this given Expressionist your faults. Well, in this case, this is an example of the community property. So no, this to get from negative eight times negative b, they simply switch the order of the terms to get negative B times negative A. Therefore, this is a true statement.

This problem. Ask this to determine whether the midpoint between points a comma B and three a common negative three view lies at to a common negative. B. That is what is the halfway point between these two points? To do that, we can use the midpoint formula, which is x one plus x two, divided by two. Why one plus? Why two divided by two that will give us a midway point. It's just averaging like terms. So to illustrate this graphically, let's just say that's point a B and just say That's 0.3 a negative. Three. B We're gonna We're looking for the midway point between these two somewhere around there Way. Do that by substituting in these terms to the midpoint formula, and we should get that pretty quickly. Um, so that's a plus three. A divided by two comma B plus a negative three B divided by two. Uh, that is equal to four over two A. Come on, uh, negative to the over to further reducing that we find that our midpoint lies at to a comma. Negative. Be so that original statement is true. And I will just write that here and true, and we are done

Book, Uh, five statements. So statement A, uh he's says, saying that if a door be physically you don't see then physical to see if a doubt B is equal to, uh, they don't see, then a there'll be is equal to see this is false. Since uh huh, a daughter b is equal toe a dot c. This is equal route A and Gov and do cause off Tita between A and B C Z Google aim to seeing the cause off the tablet in a C Now, here, here, Physical gu s So he gets cancer. And we have be because Tita Abe physical to see because theta a c since we are not sure about the Utah A B and to tie see being same So we cannot say that b is equal to see Hunter. Example. Wow. Okay, that is a guru I kept because zero Jacob B. Is equal. Do is you wake up. Let's Jacob and see easy building zero I kept as to Jacob. Now l dot be will be. I kept with Dr and she got So this is equal toe zero. Since there's 90 degree is the angle visions. Of course 90 0 a dot c is ableto skycap. You don't be. We're not see criticism. This is too. I kept. Yeah, Yes, yeah. Zero Jacob. So I came into who I kept movie to because 002 we have toe have 80 years ago a c. So Lopez is, um this s zero. I kept this Tuesday, cap. Okay, so here we have to Jacob. So this is to intercourse 90 again. Zero. We have a dog. B is equal. You don't see, but the is not equal to see. We can see here, please. They captured C is Tuesday. Cap. This is another instance in part p o the question we have. If b is equal to see, then a dot b dot C. Now, since B is equal to see you don't b is equal toe, you know? Then tomorrow be because Peter a b to you don't see is your smoking and to see because hitter A c says Buddha seem New York skin cells because since musical to see, we can replace the sweat bee so you can repress with p so therefore aired or B is equal weight or C they're gonna lose of this Same. So this is true in part c of the question we have? Yeah. You don't? Yeah. Mhm magnitude of a square. Mhm, that is You will go x. I kept his body cap. So here, not is able to x kept this yj cap on dot Off Get this yj cap. This is equal X squared plus y squared. And we have model is equal excess square by square and out of the the square is equal X squared plus y squared and scared out a is equal to or off the whole script. So this is true. I mean, what Cindy we have Yeah, uh, is here to then be then you doxy little better than leadoff. See? So here, Right, in fact, mhm. Yeah. The sequel toe six from a zero. The music we're too take on a four music Multiple like common six. So you're hmm. Not off is a global 36 06 We'll be is one of nine last 16 5 and yeah, all raise guilt ridden more to be mhm. I don't see easy or toe 605 plus zero into six years ago. 30 onboard figured out. Sees a photo three and off. Lifeless four on those six Pacific photo 15 plus 24 39. So we don't see the greater than able to see here. So does the statement is Waas Finally we have e he absolute off is a little absolutely Will be then is it would be the net a physical toe Before I kept the ST Jacob the easy or three I kept for J Cap Then absolute off is a lot of food square This three squared to put our faith have seen a lot of years ago but a lot of taste Witness foursquare is able to fight here Absolutely very easy blood A lot off the but he is not. It could be that response.

And this problem. We're told that the Matrix Aid comes a matrix B. That product is defined and were essentially asked if a P is equal to be a now. We usually know that multiplication is community, meaning that let's say we had a number A and a number B. We know that a B is equal to be A. However, major multiplication is actually not communities, many that a B does not always have to equal be a sometimes they will sometimes be. I will actually not be defined even if a B is defined and therefore the answer do. This problem is that it is false.