Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 848280: A triangle has vertices J(-2,0), K(4,-3) and L(8,8).
a) Find the equation for the altitude from vertex L to side JK
b) Find the length of the altitude

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Question 848384: 2t-1<10
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Question 848410: Express the following expressions in the form of a(x + b) + c where a, b and c are constants.
x2 – 14x

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Question 848513: An artifact was found and tested for its carbon-14 content. If 83% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? (Carbon-14 has a half-life of 5,730 year)
______ yr

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Question 848714: Breaking even occurs when the revenues for a buisness equal the cost. A local children's museum studied their costs and revvenues from paid admission. They found that their break even time is given by the equation of 2h^2-2h-24=0 where h is the number of hours the museum is open per day. How many hours must the museum be open per day to reach the break even point
Click here to see answer by stanbon(75887) About Me 

Question 848716: Good old St.Nick needs your help getting from Nathan's house to Jack's house on Christmas Eve. Of course that means rooftop to rooftop. With your knowledge of parabolas,Santa has asked your to guide his sleigh. It is 300 feet between their rooftops and there is a really big tree halfway between their houses that stand 190 feet above the roof levels. If Santa must fly a parabolic path and he wants to just clear the tree, what would be the equation of the parabola that he would enter into his on-board computer.
Click here to see answer by stanbon(75887) About Me 

Question 849083: A 10 by 14 meter garden will have a sidewalk of width x along the two 14 meter sides and width 2x along the two 10 meter sides. Approximate (to the nearest hundredths) the value of x that will make the area covered by sidewalks and the garden total 174 Square meters. (My teacher said to use the quadratic formula as well)
So I did (4x+10)(2x+14)=174 Ending up with +8x%5E2%2B76x-34=0+
At this point I'm stuck on how to continue by using the quadratic equation.

Click here to see answer by Alan3354(69443) About Me 

Question 849361: An artifact was found and tested for its carbon-14 content. If 82% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? (Carbon-14 has a half-life of 5,730 years.)

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Question 849458: Can you help me with this problem (a+1)^2=25
Click here to see answer by harpazo(655) About Me 
Question 849458: Can you help me with this problem (a+1)^2=25
Click here to see answer by Alan3354(69443) About Me 

Question 849611: How to find the quadratic formula with this root: square root of 5 over 3
Click here to see answer by ewatrrr(24785) About Me 

Question 849639: Many probably know the '
Suppose you are tossing an apple up to a friend on a third-story balcony.
After t seconds, the height of the apple is given by the function:
h(t) = – 16t2 + 38.4t + 0.96' question.
I've already solved for
How long it takes the apple to reach your friend? = 1.2 seconds
and
What is the height of the apple when your friend catches it? = 24 feet
But I'm not sure how to solve this question.
Suppose your friend does not catch the apple and it falls back to the ground. How long did it take the apple to hit the ground?

Click here to see answer by richwmiller(17219) About Me 

Question 849698: Use the discriminant to determine whether the following equation has solutions that are two different rational solutions, two different irrational solutions; exactly one rational solution; or two different imaginary solutions.y2 + 7y + 1 = 0
Click here to see answer by swincher4391(1107) About Me 

Question 849805: Y=-4x to the 2 power + 12x -8
Click here to see answer by Theo(13342) About Me 

Question 850012: f(x)=3x+2 and g(x)=2x-3, what is the value of g[f(-2)]

Click here to see answer by jim_thompson5910(35256) About Me 

Question 850057: The product of two consecutive positive integers is 306. We need to find the integers.
Click here to see answer by josgarithmetic(39617) About Me 

Question 850197: Please help me to find co-ordinates that will be y=0 from this equation y=x^2+9 times x-3
Click here to see answer by Fombitz(32388) About Me 

Question 850285: PLEASSSSEE HELP . Determine the dimensions of a rectangle of area 60 in^2 that is inscribed in a circle or radius 6.5 in.
Click here to see answer by josgarithmetic(39617) About Me 
Question 850285: PLEASSSSEE HELP . Determine the dimensions of a rectangle of area 60 in^2 that is inscribed in a circle or radius 6.5 in.
Click here to see answer by josmiceli(19441) About Me 

Question 850277: The sum of the squares if two numbers is 5/18 and the sum of 6 times the smaller number and 4 times the larger number is 3. What are the numbers??
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 850526: Please show me how to solve this problem, I dont know the steps (btw I'm doing quadratic equations)
x(x-2)=0

Click here to see answer by Fombitz(32388) About Me 

Question 850546: Please show me how to solve this problem, I dont know the steps (btw I'm doing quadratic equations)
(3x-3)(4x+2)=0

Click here to see answer by richard1234(7193) About Me 

Question 850545: Solve { { { 5x^2+13x=6 } } } by factoring.

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Question 850553: Please show me how to solve this problem, I don't know the steps (btw I'm doing quadratic equations)
x%5E2%2B4x%2B3=0
And please if you can show all steps

Click here to see answer by FrankM(1040) About Me 
Question 850553: Please show me how to solve this problem, I don't know the steps (btw I'm doing quadratic equations)
x%5E2%2B4x%2B3=0
And please if you can show all steps

Click here to see answer by richwmiller(17219) About Me 

Question 850573: Please show me how to solve this problem, I don't know the steps (btw I'm doing quadratic equations)
x%5E2-10x=-16

Click here to see answer by jim_thompson5910(35256) About Me 

Question 850569: Please show me how to solve this problem, I don't know the steps (btw I'm doing quadratic equations)
x%5E2%2Bx=6

Click here to see answer by Alan3354(69443) About Me 
Question 850569: Please show me how to solve this problem, I don't know the steps (btw I'm doing quadratic equations)
x%5E2%2Bx=6

Click here to see answer by josgarithmetic(39617) About Me 

Question 850593: The demon drop ride at Cedar Point takes riders to the top of a tower and drops them 60 feet at speeds reaching 80 feet per second. A function that models this ride is h=-16t^2+64t-60 where h is the height in feet and t is the time in seconds About how many seconds does it take for riders to drop from 60 feet to 0 feet?
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Question 850499: If the line x+%2B+ky+=+10 is a tangent to the curve x%5E2+%2B+y%5E2+=+10, find the possible values of k.
Click here to see answer by richwmiller(17219) About Me 

Question 850743: if the sum of the roots of quadratic equation, ax^2+bx+c=0, is equal to the sum of cubes of their reciprocals then show that ab^2=3a^2c+c^3
Click here to see answer by Edwin McCravy(20054) About Me 
Question 850743: if the sum of the roots of quadratic equation, ax^2+bx+c=0, is equal to the sum of cubes of their reciprocals then show that ab^2=3a^2c+c^3
Click here to see answer by AnlytcPhil(1806) About Me 

Question 850872: Please help me find the solution to this problem rounded to the nearest hundredth: 7x^2-28x+15=0
The answers I got were, {0.64,3.36}

Click here to see answer by ewatrrr(24785) About Me 

Question 850966: I'm kind of confused by this: A rectangle is twice as long as it is wide, and
it has an area of 20 square meters.
None of the factors of twenty fit the description and I've tried to find the right two numbers (decimals) but I'm really confused.

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Question 851081: write a quadratic equation whose roots are -1 and 2 and whose leading coefficient is 2
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Question 851188: how do I factor
X squared -64 = 0

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Question 851197: Factor the equation X*2=x+20
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Question 851199: Please graph each of these
A) y=(x+2)*2+1
B) y=(x-2)*2-1

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Question 851288: Multiply (2x*2)(x+4)(x-4)
1)2x*4-32x*2
2)2x*4-16
2)2x*3+8x*2

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Question 851375: Using the quadratic formula how do I solve?
x^2-64=0

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Question 851377: How do I factor
x^3-64=0

Click here to see answer by Alan3354(69443) About Me 

Question 851462: Please solve for x: ((y + 3) / 3) = 6 / y .
Click here to see answer by solver91311(24713) About Me 

Question 851788: A boat travels 15km/hr in still water. In travelling 45 km downstream from Town A to Town B, it completes the journey in 75 minutes less than it takes for the return journey. At what speed does the river flow?
Please explain simply. Apparently I am an idiot.

Click here to see answer by lwsshak3(11628) About Me 
Question 851788: A boat travels 15km/hr in still water. In travelling 45 km downstream from Town A to Town B, it completes the journey in 75 minutes less than it takes for the return journey. At what speed does the river flow?
Please explain simply. Apparently I am an idiot.

Click here to see answer by josmiceli(19441) About Me 

Question 851971: h to the 2nd power + 8h+16
Click here to see answer by Alan3354(69443) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240