5

( points) Nov lee $ &7 Lant tnc chT iriction must kck [u mnk Int hM4 Lanald Tnlat Kpi that tbe car ftom moving outward along the bank ol the road Ee netanmmmm A...

Question

( points) Nov lee $ &7 Lant tnc chT iriction must kck [u mnk Int hM4 Lanald Tnlat Kpi that tbe car ftom moving outward along the bank ol the road Ee netanmmmm Aaatn more helor RLAu ilg GTuL Tha coclhciant ol alatc [rictiun bctur! Mne haten 0.72. (5 points) Drun [rec body diagrar Jong courdiuale ayatun bual Uuk urrk-nLiua Wi Dt one of your coordinate Lxcspoints) Wrlta Nerton'9 264 Lar for tha cr (twD equetions} Do this nbolically guent(don LOLLg LD numbera until tbe ed)pobts) Glvan thet

( points) Nov lee $ &7 Lant tnc chT iriction must kck [u mnk Int hM4 Lanald Tnlat Kpi that tbe car ftom moving outward along the bank ol the road Ee netanmmmm Aaatn more helor RLAu ilg GTuL Tha coclhciant ol alatc [rictiun bctur! Mne haten 0.72. (5 points) Drun [rec body diagrar Jong courdiuale ayatun bual Uuk urrk-nLiua Wi Dt one of your coordinate Lxcs points) Wrlta Nerton'9 264 Lar for tha cr (twD equetions} Do this nbolically guent(don LOLLg LD numbera until tbe ed) pobts) Glvan thet tke c & b unbnt &reuigr moxiu, %nEt Etket (ts ecdlatiau & the %etib bel Subatitute thia into xour Nevtod 1 30* Lax eutiaaa



Answers

A city has streets that run north and south and avenues that run east and west, all equally spaced. Streets and avenues are numbered sequentially, as shown in the figure. The walking distance between points $A$ and $B$ is 7 blocks- that is, 3 blocks east and 4 blocks north. To find the straightline distance $d$, we must use the Distance Formula. (a) Find the straight-line distance (in blocks) between $A$ and $B$. (b) Find the walking distance and the straight-line distance between the corner of $4 \mathrm{th}$ St. and $2 \mathrm{nd}$ Ave. and the corner of 11 th $\mathrm{St}$. and 26 th Ave. (c) What must be true about the points $P$ and $Q$ if the walking distance between $P$ and $Q$ equals the straight-line distance between $P$ and $Q ?$

And this problem. We have the design of a city where the streets run from north to south under avenues from east to west. You know, in part you were given two points here and be and we know that the walking distance to get from A to B would be seven blocks three blocks in the horizontal direction, four blocks in the vertical direction. Now we're asked to find, though straight line distance, which is a book dean, To do that we're basically using the distance formula is that a is equal to the square root of ah, horizontal distance squared three cleared plus all vertical distance squared. So this is this the square root of 9 16 which is 25 when we skirt 25 5 So I tell this that the straight line distance from point A to point being is my block. Now we're also in part be given two point point a fourth Street and Second Avenue and couldn't be. Is that 11 street on 26 of you when you just fine the walking distance under Strickling distance? First, we were not that the horizontal distance here Court Street to 11 ST seven bucks on the vertical distance here from Second Avenue to 26 Avenue is 24 blocks from this. We know that I will. Walking distance is equal to seven with 24 blocks, which gives 31 block. I know a strict line distance that is what really Liebling D. We use the distance formula that would be discovered of our horizontal distance. Seven. Squared but the square of our vertical distance that gives 49 576. If this square root 600 and 25 it's 25. So our straight line distance it's 25. Finally, in court speed, we're being pulled with the question under what conditions are what must be sure about P and Q. If the walking distance is the same as the straight line distance, and basically that will happen in the kids, where the coordinates well, he and cute we would either have that the exits are the same. So when have thanks, but the wise are different, or you can have a situation where the excess change. But the wife being thing would that essentially gives us when I'll access did the same? Is that p and Q. Our long, the steam vertical like in the second situation. What we have is that he in Cuba are no kidding on the horizontal. Like so, either of the situations will give us a case. Where are walking? Distance is equal to the straight line distance.

Because the for part aid to from the straight line distance I would see these distance formula input that you're in theory, since we can treat, uh, this has a right triangle. We could do three squared plus four squared equals the straight line distance square. So this is just 25 a straight line distance squared, so our distant are straight line. Distance is gonna be five blocks Then of her apartment B says the walking distance and the straight line distance between the corner of Fourth Street and Second Avenue. So Okay, so, uh, we're talking about Fourth Street and Second Avenue, that corner to the corner of 11 Street and 26th Avenue. So to go from fourth Street to 11 Street, we have to walk seven blocks. Um, And then once we get to at the turning point, we're gonna turn and go up 24 blocks. So seven squared plus 24 squared equals are straight line distance squared. However, we could just, um are walking Distance is seven plus 24. Start walking distance is equal to 31. A seven squared plus 24 squared, I believe, is a special triangle. Looks like anyway. Yeah. Seven sport was 24. Squared is 6 25 Eso at 6 25 is D square. That means are straight line distances equal to 25 blocks. Which makes sense. It should be shorter than are walking distance blocks. Okay. And then part C. Okay. And it says if the walking distance is equal Teoh um, the straight line distance. That just means that P and Q They have to be on the same avenue or the same street from that takes care of it. Thank you very much.

So in this question, um, we're giving a math. Ah, a city and part A. It says to find the straight line distance between A and B. And so let's just draw sketch really quick. So this is three. That's four. And we want to find Dean. So we should just use the Picard agree in here. Um and so we get three squared plus or squared unequal to D square. So do you. Squared is equal to 25. Take the square root of both signs days equal to five walks. Okay. In parties, uh, you want to find the walking distance and a straight long distance between the corner of Fourth Street and Second Avenue in the corner of 11 Street in 26th Avenue. So fourth street in Second Avenue, two 11th Street and 26th Avenue. Okay, so first, let's find the walking distance. This is much simpler. So walking distance you cannot. You cannot walk in a diagonal lying. You have to walk along the streets. So, for example, let's take a possible route. Um, as you go from fourth street to 11th Street while staying on Second Avenue. So that right there is going to be seven blocks, which is just 11 minus seven. And then, after getting to 11 Street, we need to get to 26th Avenue. So, um, we will go from Second Avenue through the 26th Avenue. Well, staying on 11th Street, since that's what we want our final destination to be. So then that would be 26. Minus two is 24 blocks of walking. That's just 26 months to. And so we just add these two numbers together to get the total walking distance. Seven. What's 24 31 books? Okay, now let's find a straight line distance. So we can just, um, treat forth street second, Uh, as for two in our coordinate system and 11 and 26th as 11 26 in our coordinate system. And so this, um, makes it much easier to find a straight line distance. We have to coordinates two points, and all we need to do is find the distance formula or using the distance formula. Find the distance between these two points, so let's go ahead and do that. Take the square root of 11 minus four squared close 26 minus two squared and that is 25 blocks. That is a straight line distance. Now, finally part. See what must be true about P and Q if the walking distance equals the straight line distance? Well, if you think about it, if the walking distance equals a straight line distance, Thank you. There is no angle between the two points, as if these were the two points and this is the walking distance. But here is the walking path that could be taken. Um, the straight line distance is always gonna be not the same as the walking the walking distance. So in order for the walking distance to be equal to the straight line distance, P and Q have to be on the same line. Um, and so that means that you must be on the same street or the same avenue for, um, P and Q to have the same walking distance, um, and straight line distance

So we begin with the point P begin selected anywhere, and it's going to be translated si units in the extraction. So it's gonna go this way, since it's positive and that is going to be our point. Q. Then we're going to translate that D units in the Y direction. So it's gonna go up, and that's going to give us point are the coordinates of points are would be a plus C for the X coordinate and the white corn. It will be B plus D. Now we're gonna translate our original point P de units in the Y direction to get this point s and then see units in the extraction to get us point t. Now, the coordinates of point T would also be, um a plus C B plus D. So because they're the exact same. What that tells us is that the translations when you're going when you're translating units down or units up, translations do not impact. Um, the point. It doesn't matter which order you do it, and if you translate, left first or up first or down first, it doesn't make a difference


Similar Solved Questions

5 answers
3. Find Che radiuicf convergznce and the inierval 0f convergence %or the powct series4)" n2 . 2r
3. Find Che radiuicf convergznce and the inierval 0f convergence %or the powct series 4)" n2 . 2r...
5 answers
For each of the following acid base reactions, identify the acid, base, conjugate acid and conjugate base_a) HCIO + CHSNHz 7 CH;NH; + CIOb) HCO3 HCO; 7 HCOz + COz2.H,POa NH3 7 HPO4?- + NHaCalculate the pH of a 0.029M solution of HF whose Ka is 7.5x 10-6.Calculate the percent ionization of 0.6M Hydrofluoric acid,
For each of the following acid base reactions, identify the acid, base, conjugate acid and conjugate base_ a) HCIO + CHSNHz 7 CH;NH; + CIO b) HCO3 HCO; 7 HCOz + COz2. H,POa NH3 7 HPO4?- + NHa Calculate the pH of a 0.029M solution of HF whose Ka is 7.5x 10-6. Calculate the percent ionization of 0.6M ...
5 answers
Which of the following compounds can be considered a hemiketal?CHaOHOHCH;~CHaaib)d)"CH;
Which of the following compounds can be considered a hemiketal? CHa OH OH CH; ~CHa ai b) d) "CH;...
5 answers
M Poiats K,W4A 434 Fiad Hle_Plane Klolgh P,(,0,3) Huk fs AuetadiLely; k 4x-4+32
M Poiats K,W4A 434 Fiad Hle_Plane Klolgh P,(,0,3) Huk fs AuetadiLely; k 4x-4+32...
5 answers
QUESTIONA lamp has a current of 3.39 A. In hours, how long does it take for mole of electrons to pass through the lamp?
QUESTION A lamp has a current of 3.39 A. In hours, how long does it take for mole of electrons to pass through the lamp?...
5 answers
Determine which of the following functions are uniformly continuous 0n the given domain. (a) f() On D = [0,0). (6) f() OH D =|1,5]. f() On D = (7,0)_
Determine which of the following functions are uniformly continuous 0n the given domain. (a) f() On D = [0,0). (6) f() OH D =|1,5]. f() On D = (7,0)_...
5 answers
Question 11 (5 points)Enter a number rounded to one decimal if necessary:You corrected 15 tests and your substitute helped you finish for your class of 29 students. The mean for the tests You corrected was 81.3 and the mean for the entire class turned out to be 84.6Your substitute calculated that the mean for the tests she corrected was
Question 11 (5 points) Enter a number rounded to one decimal if necessary: You corrected 15 tests and your substitute helped you finish for your class of 29 students. The mean for the tests You corrected was 81.3 and the mean for the entire class turned out to be 84.6 Your substitute calculated that...
5 answers
Let X be continuous random variable having density fx-Let Y be random variable such that Y F(X)X2 Derive the pdf of therandom variable(b) Following 1, suppose the random variable; N(o. 1) . Show that the random variable Y =4 has a chi-square distribution with degrees of freedom v = L
Let X be continuous random variable having density fx- Let Y be random variable such that Y F(X) X2 Derive the pdf of the random variable (b) Following 1, suppose the random variable; N(o. 1) . Show that the random variable Y =4 has a chi-square distribution with degrees of freedom v = L...
1 answers
And 8.51 Two $8^{\circ}$ wedges of negligible weight are used to move and position the 800 -kg block. Knowing that the coefficient of static friction is 0.30 at all surfaces of contact, determine the smallest force $\mathbf{P}$ that should be applied as shown to one of the wedges.
and 8.51 Two $8^{\circ}$ wedges of negligible weight are used to move and position the 800 -kg block. Knowing that the coefficient of static friction is 0.30 at all surfaces of contact, determine the smallest force $\mathbf{P}$ that should be applied as shown to one of the wedges....
1 answers
Graph the functions in Exercises $25-28$ $$ F(x)=\left\{\begin{array}{ll}{4-x^{2},} & {x \leq 1} \\ {x^{2}+2 x,} & {x>1}\end{array}\right. $$
Graph the functions in Exercises $25-28$ $$ F(x)=\left\{\begin{array}{ll}{4-x^{2},} & {x \leq 1} \\ {x^{2}+2 x,} & {x>1}\end{array}\right. $$...
1 answers
If $$F(x)=f(g(x)), where f(-2)=8, f^{\prime}(-2)=4 f^{\prime}(5)=3, g(5)=-2,and g^{\prime}(5)=6, find F^{\prime}(5)$$
If $$F(x)=f(g(x)), where f(-2)=8, f^{\prime}(-2)=4 f^{\prime}(5)=3, g(5)=-2,and g^{\prime}(5)=6, find F^{\prime}(5)$$...
5 answers
Use synthetic division to divide ffx) =x? 8x2 3x - 90 by X + 5. Use the result to find all zeros of f (x? + 8x2 3x - 90)= (x+5)-0 remainder (Do not factor If there is remainder; type your answer in the form quotient- divisorThe zeros of f are(Use comma t0 separate answers as needed )
Use synthetic division to divide ffx) =x? 8x2 3x - 90 by X + 5. Use the result to find all zeros of f (x? + 8x2 3x - 90)= (x+5)-0 remainder (Do not factor If there is remainder; type your answer in the form quotient- divisor The zeros of f are (Use comma t0 separate answers as needed )...
5 answers
Differentiate the following functions.pttinplifx lheclerivativaLfhiafncllua: f(r) -sec(tnvp-4x]Use implicit differentiation t0 find dyldr:ycos(x) =r' +yUse logarithmic differentiation find dwldr:y= (cosx)"Page 4 of 13
Differentiate the following functions. pttinplifx lheclerivativaLfhiafncllua: f(r) -sec(tnvp-4x] Use implicit differentiation t0 find dyldr: ycos(x) =r' +y Use logarithmic differentiation find dwldr: y= (cosx)" Page 4 of 13...

-- 0.019149--