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Lety =5H: and Yz Find the dislance from lo Ihe subspaco Wol R" spannod by %4 &d Yz' given Ihat the clososl point toyin WisThe distance is (Simplify yo...

Question

Lety =5H: and Yz Find the dislance from lo Ihe subspaco Wol R" spannod by %4 &d Yz' given Ihat the clososl point toyin WisThe distance is (Simplify your ansiver Type an exact answer; using radicals as needed )

Lety = 5H: and Yz Find the dislance from lo Ihe subspaco Wol R" spannod by %4 &d Yz' given Ihat the clososl point toyin Wis The distance is (Simplify your ansiver Type an exact answer; using radicals as needed )



Answers

Find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. $$(3 \sqrt{3}, \sqrt{5}) \text { and }(-\sqrt{3}, 4 \sqrt{5})$$

Let's use the distance formula to find the distance between these two points so we have d equals the square root of the change in X squared, plus the change in Y squared and the change in X would be three square root three minus negative square root. Three Changing Why would be four square root five minus square root? Five. So let's simplify that. Three square three minus negative square root three is four square root three that has to be squared foursquare every five minus square root five is three square room five, and that has to be squared when we square four square root. Three. We get 16 times three, and when we square three times square root five would get nine times five 16 times three is 48 9 times five is 45 and 48 plus 45 is 93 So our exact distance is the square root of 93. And then to approximate that, we put it in the calculator and we get about 9.64

OK, the distance between these two points were used. The distance formulas the square root will do The difference of these expellees three tens of square to three minus the square to three is four times the square to three. So it's the difference. And then we're gonna square that and then to that will add the difference in these squirt of five. Let's do four times 25 minus two squared. If I would be 3/10 Fortified doesn't. It's not with slope where it matters, which way you subtract, Um, because we're gonna square these anyway, so all right. So foursquare to 16 scored three squares. Three. So 16 times three is 48. Three squared is none in support of five. Squared is 59 times five is 45. So we got the square root of 93 which I don't think is 93 is not divisible by any perfect squares. Um, well, maybe it is. No, it's not. Yeah. So, um, so we'll call it square to 13. 93 is your answer, which we can raise the decimal. Lohan approximated decimal about 9.64 units, 9.64 units

Okay, We're gonna find Teoh distance between two points and I'm gonna write two points. Is any question so going to write d equal to swear? Rueda X two minus X one X two is a screwed up by minus zero, I swear. Plus zero minus minus. Food of three. So that's a plus. A spirit squirt. Okay, so he will be equal to this becomes fine. Waas three, which is fruit up eight. That is saying it's too screwed up to because eight is really two times four, right? And for some, bring two to the second bring to out to tune. Teoh screwed up too. And if you want a dismal format is 2.8. Okay, Very easy. Alright, guys. Thank you.

Let's use the distance formula to find the distance between these two points. So we have d equals the square root of the change in X squared, plus the change in Y squared. The change in X would be square root five minus zero and the change in why would be zero minus negative square root three. So this is the square root of square root. Five squared. The last square root three squared and square root five squared is five square with three squared is three. So we have the square root of eight, which simplifies to be two square root, too. So are exact answer is to square to for the distance, and then we put that in the calculator to approximate it, and we get about 2.83


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