## Question

###### Let $L$ be the line $2 x+4 y=8$ and let $P$ be the point $(3,4)$ (a) Show that the points $Q(0,2)$ and $R(2,1)$ lie on $L$. (b) Let $\mathbf{u}=\overrightarrow{Q P}$ and $\mathbf{v}=\overrightarrow{Q R},$ as shown in the figure. Find $\mathbf{w}=\operatorname{proj}_{\mathbf{v}} \mathbf{u}$. (c) Sketch a graph that explains why $|\mathbf{u}-\mathbf{w}|$ is the distance from $P$ to $L$. Find this distance. (d) Write a short paragraph describing the steps you would take to find the distance from a

Let $L$ be the line $2 x+4 y=8$ and let $P$ be the point $(3,4)$ (a) Show that the points $Q(0,2)$ and $R(2,1)$ lie on $L$. (b) Let $\mathbf{u}=\overrightarrow{Q P}$ and $\mathbf{v}=\overrightarrow{Q R},$ as shown in the figure. Find $\mathbf{w}=\operatorname{proj}_{\mathbf{v}} \mathbf{u}$. (c) Sketch a graph that explains why $|\mathbf{u}-\mathbf{w}|$ is the distance from $P$ to $L$. Find this distance. (d) Write a short paragraph describing the steps you would take to find the distance from a given point to a given line. CAN'T COPY THE FIGURE

## Answers

#### Similar Solved Questions

5 answers

##### Se ha de 2 7577 H articulos Asnnlecdo 7 L segunda 2590 Iuqv 1 muestra nO conticne artfculos defectuosos se acepta = I 1 = H cuntrol de 1 estbleeido el siguiente plan: JCepla el lole; EI departamento de W probabilidad d U M [orl delectuosos;

Se ha de 2 7577 H articulos Asnnlecdo 7 L segunda 2590 Iuqv 1 muestra nO conticne artfculos defectuosos se acepta = I 1 = H cuntrol de 1 estbleeido el siguiente plan: JCepla el lole; EI departamento de W probabilidad d U M [orl delectuosos;...

5 answers

##### Inside an onion cell a vesicle is being transported by a kinesin molecule along an actin tubule at roughly a constant speed. A. Is work being done on the vesicle? B. Is the kinesin doing work on the vesicle? C. Where does the energy expended by the kinesin end up?

Inside an onion cell a vesicle is being transported by a kinesin molecule along an actin tubule at roughly a constant speed. A. Is work being done on the vesicle? B. Is the kinesin doing work on the vesicle? C. Where does the energy expended by the kinesin end up?...

3 answers

##### 32. An analysis conducted compare mean Ime pain relief (measured competing treatment regimens Summary statistics 0 the four (reatmeents e in minutes) under four table presented below not compieted. Campute the SS8 Oalure Roend oronhdecihaloola HTne ANOVA one decimal place): Treatment Sample Size Mean Jime Rellel Sample Vanance27,0 50 815516.8Source ot Variation Between uroups Within DrouosSum squares 1524.4yariancc508.13333719.48232.46Msb= 508.133 MSWI= 232.4675 F-2.18634, Based on the dala and

32. An analysis conducted compare mean Ime pain relief (measured competing treatment regimens Summary statistics 0 the four (reatmeents e in minutes) under four table presented below not compieted. Campute the SS8 Oalure Roend oronhdecihaloola HTne ANOVA one decimal place): Treatment Sample Size Mea...

5 answers

##### Which of the following is the first order Taylor polynomial, P1(x), for f(x) cos(x) centered at a = 3 5-4k-5)1 -#6-5) 4-3*-3)X 2 2

Which of the following is the first order Taylor polynomial, P1(x), for f(x) cos(x) centered at a = 3 5-4k-5) 1 - #6-5) 4-3*-3) X 2 2...

5 answers

##### Acube ofice melting The side ofthe cube is decreasing at 4 constant rate of tWo inches per minute: How fast Is the volumne decreasing?Sketch the graph ofy 7673 include all pertinent information.Domain intercepts; Asymptotes, min or max; inflection points (done neatly or no credit):Determine all numbers â‚¬ which satisfy the conclusion of the Mean Value Theorem for the following function: f(x) =x' +2r' on [-1,2]: 10) Sketch include all pertinent informationy =x' Bx? Domain; interc

Acube ofice melting The side ofthe cube is decreasing at 4 constant rate of tWo inches per minute: How fast Is the volumne decreasing? Sketch the graph ofy 7673 include all pertinent information.Domain intercepts; Asymptotes, min or max; inflection points (done neatly or no credit): Determine all n...

5 answers

##### Ethylenediamine (ena Which [Fe(ox)Bra]" ligand_ just like yourself, which are mirror images? bidentate ligand (ox) is each other? Ask The oxalate or f) are optica isomers complexes (a,b "Br 3o- Brua Fe Ole Om= Fe'Brthse . 40- FeCltu [ ~Br Fe' "BrClmtt 7Br Fe_ FCIand b and and B d and a,b, andbdmle Lo aisconfigurations? 7. Which of the complexes shown above (a,b,c,d,e,f) have cis or trans ' ' a and . . . ` : . . 3 b and and .' and b 1<. 3 D a, b,

ethylenediamine (ena Which [Fe(ox)Bra]" ligand_ just like yourself, which are mirror images? bidentate ligand (ox) is each other? Ask The oxalate or f) are optica isomers complexes (a,b "Br 3o- Brua Fe Ole Om= Fe' Brthse . 40- Fe Cltu [ ~Br Fe' "Br Clmtt 7Br Fe_ FCI and b a...

4 answers

##### 8- The Figure shows a siphon; which is a device for removing liquid from a container. Tube ABC must initially be filled but once this has been done,liquid will flow through the tube until the liquid surface in the container is level with the tube opening at A The liquid has density L000 kg m3 and negligible viscosity The distances shown are hl "25 cm; d 12 cm, and h2 40 cm. (a) With what speed does the liquid emerge from the tube at C? (b) If the atmospheric pressure is ].0 105 Pa; what is

8- The Figure shows a siphon; which is a device for removing liquid from a container. Tube ABC must initially be filled but once this has been done,liquid will flow through the tube until the liquid surface in the container is level with the tube opening at A The liquid has density L000 kg m3 and ne...

5 answers

##### The tunction D(h) = 6 â‚¬ 0 21h can bo used t0 find the number of milligrams D of a certain drug that [s in & patieni s bloodstream hours aftorthe dnug has been administered How many miiligrams wili Fregont Jie hour? After 12 hours ?Atter hour Ihere will pe millligrams (Round t0 tivo cecima acos 03 noeded )After 12 hours; Ihei= IIpe milligrans (Round fo decimal places a2 needed

The tunction D(h) = 6 â‚¬ 0 21h can bo used t0 find the number of milligrams D of a certain drug that [s in & patieni s bloodstream hours aftorthe dnug has been administered How many miiligrams wili Fregont Jie hour? After 12 hours ? Atter hour Ihere will pe millligrams (Round t0 tivo cecima...

1 answers

##### $[mathrm{BB}]$ Find the fault in the following "proof" by mathematical induction that $$ 1+2+3+cdots+n=frac{(2 n+1)^{2}}{8} $$ for all natural numbers $n$. $$ egin{aligned} & ext { If } 1+2+3+cdots+k=frac{(2 k+1)^{2}}{8}, ext { then } \ &egin{aligned} 1+2 &+3+cdots+(k+1) \ =&(1+2+3+cdots+k)+(k+1) \ &=frac{(2 k+1)^{2}}{8}+(k+1) \ &=frac{4 k^{2}+4 k+1+8 k+8}{8} \ &=frac{4 k^{2}+12 k+9}{8} \ &=frac{(2 k+3)^{2}}{8}=frac{[2(k+1)+1]^{2}}{8} end{aligned} end

$[mathrm{BB}]$ Find the fault in the following "proof" by mathematical induction that $$ 1+2+3+cdots+n=frac{(2 n+1)^{2}}{8} $$ for all natural numbers $n$. $$ egin{aligned} & ext { If } 1+2+3+cdots+k=frac{(2 k+1)^{2}}{8}, ext { then } \ &egin{aligned} 1+2 &+3+cdots+(k+1) \ =...

1 answers

##### Sphere $A$ of mass $m_{A}=2 \mathrm{kg}$ and radius $r=40 \mathrm{mm}$ rolls without slipping with a velocity $\overline{\mathbf{v}}_{1}=2 \mathrm{m} / \mathrm{s}$ on a horizontal surface when it hits squarely a uniform slender bar $B$ of mass $m_{B}=0.5 \mathrm{kg}$ and length $L=100 \mathrm{mm}$ that is standing on end and is at rest. Denoting by $\mu_{k}$ the coefficient of kinetic friction between the sphere and the horizontal surface, neglecting friction between the sphere and the bar, and

Sphere $A$ of mass $m_{A}=2 \mathrm{kg}$ and radius $r=40 \mathrm{mm}$ rolls without slipping with a velocity $\overline{\mathbf{v}}_{1}=2 \mathrm{m} / \mathrm{s}$ on a horizontal surface when it hits squarely a uniform slender bar $B$ of mass $m_{B}=0.5 \mathrm{kg}$ and length $L=100 \mathrm{mm}$ t...

5 answers

##### What is te percenlage by mass Olfe Pouxslan printlng inks?Fo-(Fe(CNkh prgment used puinty artdiHoxMany molcsare4.00 of NaCi?How many moles are00 gof h;o?How many molecules are found 2.00 of fluorine?How many atoms bromine are found 2.00 g of bromine liquid

What is te percenlage by mass Olfe Pouxslan printlng inks? Fo-(Fe(CNkh prgment used puinty artdi HoxMany molcsare 4.00 of NaCi? How many moles are 00 gof h;o? How many molecules are found 2.00 of fluorine? How many atoms bromine are found 2.00 g of bromine liquid...

4 answers

##### Suppose you want to estimate the proportion of traditional college students on your campus who own their own car: You have no preconceived idea of what that proportion might be. What sample size is needed if you wish to be 98% confident that your estimate is within 0.03 of the true proportion?A sample size of is needed. (Round up to the nearest whole number:)

Suppose you want to estimate the proportion of traditional college students on your campus who own their own car: You have no preconceived idea of what that proportion might be. What sample size is needed if you wish to be 98% confident that your estimate is within 0.03 of the true proportion? A sam...

1 answers

##### Fill in the blanks. $y \leq x^{2}-4 x+3$ is an example of a nonlinear inequality in ____ variables.

Fill in the blanks. $y \leq x^{2}-4 x+3$ is an example of a nonlinear inequality in ____ variables....

5 answers

##### ExllWhich of the cholces below (5 defining characteristic 0f Acid Fast bacterin?Lthinoljrn |nhasnhataidthick laetonmicolcaIhtUreroedidortyconahonorotcin (aycrumundine IncremconQuestion 252ptsExl4 MATCHING: Match the follaxring batterial genera the disease they ceuse:~ucotircnuen~[ctrotu]TyphoiaTnnmreTjcmulo"Chop-

ExllWhich of the cholces below (5 defining characteristic 0f Acid Fast bacterin? Lthinoljrn | nhasnhataid thick laetonmicolca IhtUrer oedidortycon ahonorotcin (aycrumundine Inc remcon Question 25 2pts Exl4 MATCHING: Match the follaxring batterial genera the disease they ceuse: ~ucotircnuen ~[ctrotu]...

5 answers

##### Water is flowing through a pipe with a constriction. The area ofthe narrow section is one-half the area of the wide section. If thevelocity of the incompressible fluid is 3.2 m/s in the narrowsection, then what is the velocity of the fluid in the widesection? A. 0.9 m/sâ€¨B. 1.0 m/sâ€¨C. 1.6m/sâ€¨D. 1.8 m/sâ€¨E. 1.9 m/sPlease helpShow all stepsThank You!

Water is flowing through a pipe with a constriction. The area of the narrow section is one-half the area of the wide section. If the velocity of the incompressible fluid is 3.2 m/s in the narrow section, then what is the velocity of the fluid in the wide section? A. 0.9 m/sâ€¨ B. 1.0 m/sâ€¨...

5 answers

##### [0/7.69 Points]DETAILSPREVIOUS ANSWERSTANFIN12 5.1.004.MY NOTESFind tne accumulated amount at the end ofmionchs cn#2100 bank deposit paying simple interest at -cf go6/year. (Round ycur anstvetnearesc cent)Submit Ansxer[-/7.69 Polnts]DETAILSTANFIN12 5.1.014.MY NOTESFind Lne eccumulated umjunt Lhc princiPal invesled a lhe intcres: +2000, 132' comcoundec semiannuallyrlycar Icr Years (Use 365-djy ycar Round your enswerLhe nearcsl cent)3.0 [-{7.69 Points]DETAILSTANFIN12 5.2.008_MY NOTESFlnd tne

[0/7.69 Points] DETAILS PREVIOUS ANSWERS TANFIN12 5.1.004. MY NOTES Find tne accumulated amount at the end of mionchs cn #2100 bank deposit paying simple interest at - cf go6/year. (Round ycur anstvet nearesc cent) Submit Ansxer [-/7.69 Polnts] DETAILS TANFIN12 5.1.014. MY NOTES Find Lne eccumulated...

5 answers

##### '1 : ".. :a s14 [3 points]What is the magnitude of the force required to be applied to the end of a 1-ft wrench at an angle of 350 to produce & torque of 20 N-m?

'1 : ".. : a s 14 [3 points]What is the magnitude of the force required to be applied to the end of a 1-ft wrench at an angle of 350 to produce & torque of 20 N-m?...

5 answers

##### Using the thermodynamic information in the ALEKS Data tab, calculate the standard reaction free energy of the following chemical reaction: 4H202 PbS PbSO 4 +4Hz0 (1)Round your answer to zero decimal places_2

Using the thermodynamic information in the ALEKS Data tab, calculate the standard reaction free energy of the following chemical reaction: 4H202 PbS PbSO 4 +4Hz0 (1) Round your answer to zero decimal places_ 2...

5 answers

##### ExactEq: Problem 2 Previous Problem Problem List Next Problempoint) If f' (x) 9xe*? and f(o) = 9 then f(x)Preview My AnswersSubmit AnswersYou have attempted this problem 0 times You have unlimited attempts remaining:Email WeBWork TAWeBWorK @

ExactEq: Problem 2 Previous Problem Problem List Next Problem point) If f' (x) 9xe*? and f(o) = 9 then f(x) Preview My Answers Submit Answers You have attempted this problem 0 times You have unlimited attempts remaining: Email WeBWork TA WeBWorK @...

5 answers

##### QueationGol (MoresJere ^ W7#cht vlocil-tin Kunt maetMtd1p4EattntelVoanrireALOmat UetMacBcok Air2X b3 Aeonnand Gen

Queation Gol (MoresJere ^ W7#cht vlocil-tin Kunt maet Mtd1p4 Eattntel Voanrir eALOmat Uet MacBcok Air 2 X b 3 Aeonnand Gen...