Math 148 - 001 - 002QUIZ 3Name:/~Dr.P.D. McCray 20 September2006 Page 1 of 31. (10points each)(a) Calculatethe distancebetweenthe oints -2,3) and (5,2).d -::= (X Z -Xi) -z..+ (~'l.-~( )'-::: (5" -{-')~?..f- (Z-.3) 2.el.. = -( -::t-'Z- + (-I) -z...\ -::: -'/4-9 -J- I ~::: y50 -::: V~ 5"'A-I ~ (£ = Iso' =- !> V2..(b) Calculate the coordinates of the midpoint of the line segment joining the points (-2, 3)and (5, 2). Fif2..M --;:(V + 1(z... (1/ i-# ~)::(r-z..) r-£" 3 +-2..)z ) L ,I ,/-(~ >-,', (M == 2:) 2)2. (10 points each)(a) Are the three points (-2,3), (1, -1), and (5, 2) the vertices of a right triangle? (ii=s)P, 1'3 Fz..(b) Use the distance formula and the Pythagorean Theorem and its converse to show thatyour answer to jJart (a) is correct. F~ -I:::I!c.R..~ ~ 6-e 4-,AA ~ /)A~ ~ a z. -I-b ~=-c'Z. ~(;(, ~/C -: P'P2 ~ 1'2~ /gP, ~ ~~., / /[>'/22. =50 ("~ /&(~) ~:JPI!'.37..-:. (I - r-i!-))'-+ (- 1- 3) -z..=- 32-t-- (-~) ~ 9 ~ 16 =::.~S"f>2!j '= (s-- I )2.. + (2 -(-I))'::. ¥2.+ 3 <.::: ;2.5",.<J-O ~ ~ z. + ,o2-~-z. ::: ,;l ~-I-2> =-s-& == ~ A ~~ ~~~4>1P'Z.P3~a.~~ VtA~ ~ 14 ~ ¥6tt-e01 T~.Math 148 - 001 - 002QUIZ 3Name:~Dr. P.D. McCray 20 September2006 Page 2 of 33. (10points each)(a) Does the point (2a + 1,3a) lie on the graph of the equation 6x- 4Y - 6 = 0 ?(b) Show that your answer to part (a) is correct. /17 (Ye 5:J#--x =2(:( --/-( ~ if:=-3 et.. ~ /4.fl.. ~~ ,(p [2'l. +t] -1-[3q] -" :: 12.~7-~-,~ -b ~ V~ #-<~ (2t:<+-/J3<r)~~~~~~~tMtI£e~~-d.t~.4. (10 points each) Determine any x- or y- intercepts for the graphs of the followingequations.(a) 6x-4y-6=0 ~-~~ ~~::.<J : tf-~~ ~" ~ - 4{o) -6==-0 ~ ~ =0,'(p ~ -, ~ o' .' .. .._ 6 (a) -4?,- -b=-O,x.-~ -4- -6-==-o,', (~= I i:b/Ik) -Z =- ~~/ "" - ---t rr -- -;:;- z'~~-~~"1-t:YtU;,~~~~=o~:1:::. o'.f4(c))-I-6=-{;,:.r;=or;0~~-~~(b) y = x2 + 4x + 6')C-~~~~-o:o =: 'X 'Z- -I- ~ X' ..J- ~-ffu;t' /)(?- -I-Y ~~== "Y -z + Y)( -J-L( 'f- "2-::. (?( +-<...) 2.+- ~~ "2..--L-. r.tL/ ~ '-r;...Ht:me- 15 N () y- /AI1Math 148 - 001 - 002QUIZ 3Name:k:JDr. P. D. McCray5. (10 points each)notation.20 September2006 Page 3 of 3Solvethe followinginequalities. Specifyyour answersusing interval(a) 142- txl > 35~/ql'rk~~a..""" h ~ ~ r.t -< - b.,tr ,4-2. -9-~ < -;3 S<f2. 7-3 5 ~ ~ ~=19- '< 7- A', ", II S ~4 2. - -:;"X4-2-35-=t-L," ,t:UJ pr7f! ?o~/XI¥~~AI'-€I2d ~ ~-to~~~.()< =f?r-/ _- -1-4 ?(-f-B',I, ~-Iv~7x -14x + 8 >
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