Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 179710: Given a right triangle with a leg length of 8cm and a hypotenuse length of 4cm, find the length of the other leg.

Click here to see answer by Fombitz(13828)

Question 179706: Find the distance between these two points:
(4,-1) and (0,-5)

Click here to see answer by Fombitz(13828)

Question 179731: can you please help me solve in simplest radical form: (((x^2+8x=16)))
Click here to see answer by Mathtut(3670)

Question 179713: Multiply and then simplify the radical expression:
sqrt7(sqrt7 - sqrt5)

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Question 179707: Multiply and then simplify the radical expression:
3sqrt(2a) · sqrt(5a)

Click here to see answer by Mathtut(3670)

Question 179766: I need help with this word problem
write three quadratic equations,with a,b, and c (coefficients of x to the power of 2, x, and the constant as 1.integers2.rational numbers 3. irrational numbers.
Click here to see answer by Mathtut(3670)

Question 179776: find the value of "a" such that y^2+14y+a is a perfect square

please can you help
Click here to see answer by Mathtut(3670)

Question 179778: find the value of C such that w^2-12x+c is a perfecy square
Click here to see answer by Mathtut(3670)

Question 179705: Simplify:
sqrt[(24x^4)/36]

Click here to see answer by checkley77(12569)

Question 179786: 64+27x^3 factor completly
Click here to see answer by solver91311(16897)

Question 179711: Divide, rationalize the denominator if necessary, then simplify the radical expression:
(sqrt80n^3)/sqrt2

Click here to see answer by Fombitz(13828)

Question 179780: find the least common multiple of the two
12t^2z^6 and 4t^6w^4z

Click here to see answer by vleith(2825)

Question 179785: y=1/1800(x-600)(x+600) x and y are measured in meters
1)how wide is the crater if y=0 and what is the depth of the crater?

Click here to see answer by ankor@dixie-net.com(15656)

Question 179876: At work one day, Erica received 28 packages. Speedy delivery delivered twice as many as Ralph's Express, while Ralphs Express delivered four more than Send Quick Package service. How many packages did each service deliver to Erica.
Speedy Delivery
Ralph's Express
Sendquick
Click here to see answer by Mathtut(3670)

Question 179873: p=a+2b+c, for a
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Question 179871: Two minor league players got a total of 262 hits. Washington had 14 more hits than Tony. Find the number of hits for each player.
Washington
Tony
Click here to see answer by Mathtut(3670)

Question 179870: For the following set of temperatures recorded during 7 days in Hartford, find the mean.
54,56,67,52,67,57,53
The mean is ___
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Question 179869: Identify the percent, whole, and part in the following. Do not solve for any unknowns. 30% of 700 is 210.
percent=
type u to identify the unknown
whole =
type u to identify the unknown
part =
type u to identify the unknown
Click here to see answer by Mathtut(3670)

Question 179872: 1/2(4y+2)-20<-1/3(9y-3)
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Question 179884: I was given the following roots and was asked to write the quadratic equation. I successfully solved one using whole numbers, but am stuck when using imaginery numbers. An example set of roots = 5 - 2i, 5 + 2i. If I can learn how to do one, I can apply it to the remainder of the work. Thank you.
Click here to see answer by Mathtut(3670)

Question 179892: Find the distance between these two points:
(4,-1) and (0,-5)
Click here to see answer by HyperBrain(694)

Question 179942: Write 3 quadratic equations with a,b,c (coefficients of x^2,x and the constant) as:
1. integers
2. rational numbers
3. irrational numbers
Click here to see answer by Mathtut(3670)

Question 179941: Joe has a collection of nickels and dimes that is worth $6.05. If the number of dimes is doubled and the number of nickels was decreased by 10, the value of the coins would be $9.85. How many dimes do we have?
Click here to see answer by Mathtut(3670)

Question 179990: I am having some trouble with Quadratic Formulas. Here is my problem: x^2-5x-5=0
Here is what I did: x^2-5x-5=0 A=1 B= -5 C= -5 x=5+/- (radical sign) -5^2-4(1)(-5) (all over)2 x=5+/- (radical sign)25-20 (all over) 2 x=5+/-(radical sign)5(all over) 2 so my answer is x=5+(radical sign)5(all over)2 or x=5-(radical sign)5(all over)2 Can you check that answer for me? Thanks a ton, Heather
Click here to see answer by stanbon(57361)

Question 180002: I am having some trouble with quadratic formulas, can you help me please? Here is the problem: 4x^2-x+1=0 This is what I have so far: A=4 B=-1 C=1 X= 1+/-(radical sign)(-1)^2-4(4(1) (All over) 2(4) x=1+/-(radical sign)1-16 (all over) 8 x=1+/-(radical sign) -15 (all over) 8 x=1+/-(radical sign) -1(times)15 (all over) 8 x=1+/-i(racidal sign)15 (all over) 8 and that is as far as I got, Please help me! Thanks a ton,
Heather
Click here to see answer by ptaylor(2048)

Question 179914: Please help me with this assignment!

1. Determine whether the following equations have a solution or not? Justify your answer.
a) x2 + 3x - 15 = 0
b) x2 + x + 4 = 0
c) x2 – 4x - 7 = 0
d) x2 – 8x + 16 = 0
e) 2x2 - 3x + 7 = 0
f) x2 – 4x - 77 = 0
g) 3x2 - 7x + 6 = 0
h) 4x2 + 16x + 16 = 0

2. If x = -3 and x = 4, then form a quadratic equation.

3. What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.

4. Create a real-life situation that fits into the equation (x + 3)(x - 5) = 0 and express the situation as the same equation.

Click here to see answer by solver91311(16897)

Question 179999: I am having some trouble with quadratic formulas, could you please help me with this problem? x^2-1/2x+1/2=0 This is what I have so far: A=1 B=-1/2 C=1/2 x=1/2+/-(radical sign)-1/2^2-4(1)(1/2) (all over)2 x=1/2+/-(radical sign)1/4-2 (all over) 2 x=1/2+/-(radical sign)-7/4 (all over 2) x=1/2+/-2(radical sign)-7 (all over) 2 and that's as far as I got. Can you help me? Thanks a ton,
Heather
Click here to see answer by ptaylor(2048)

Question 180131: Here is the problem:
Walt made an extra $12,000 last year from a part-time job. He invested part of the money at 7% and the rest at 9%. He made a total of $970 in intrest. How much was invested at 7%?
I can honestly say that I am beyond stuck I don't even know where to start on this problem. Please Help!!! :-)
Click here to see answer by Mathtut(3670)

Question 180137: What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation "x2 - 10x - 39 = 0".
Click here to see answer by stanbon(57361)

Question 180189: A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet?
Iam having a mental block

Click here to see answer by ptaylor(2048)

Question 180255: I need three examples of quadratic equations using integers, rational numbers and irrational numbers
Click here to see answer by Mathtut(3670)

Question 180285: what is a discriminat?
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Question 180288: The directions say to solve each equation by graphing.
The problem is written as;

Click here to see answer by stanbon(57361)

Question 180288: The directions say to solve each equation by graphing.
The problem is written as;

Click here to see answer by Mathtut(3670)

Question 180290: x^2 + 3x - 15 = 0
Does this equation have a real or complex solution?
Click here to see answer by stanbon(57361)

Question 180292: The directions say to; Solve each equation by graphing. If integral roots cannot be found , estimate the roots by stating the consecutive integers between which the roots lie.
The problem is written as;

Click here to see answer by Mathtut(3670)

Question 180296: To complete the square in -2(x^2-6x+A)=-3+B the values for A and B are?
Click here to see answer by Mathtut(3670)

Question 180322: TRANSLATE THE FOLLOWING INTO A QUADRATIC EQUATION AND SOLVE IT. THE LENGTH OF A RECTANGULAR GARDEN IS FOUR TIMES ITS WIDTH, IF THE AREA OF THE GARDEN IS 196 SQUARE METERS, WHAT ARE ITS DIMENSIONS? This is the answer that I got, please tell me what I did wrong....
Width is X
Length is 4X
Area is 196
X(4X) = 196
4X² = 196 subtract 196 from each side to get zero on one side
4X² - 196 = 0
(2X – 14)(2X +14) solve by factoring a difference of squares
2X - 14=0 2X + 14=0 solving the 2 equations separately
2X=14 2X= -14
X=7 X= -7
Check: x(4x) =196
7(4.7) =196
7(28) = 196
196 = 196

Dimensions of rectangle are:
Width is 7
Length is 28

Click here to see answer by stanbon(57361)

Question 180312: Find the slop, if it exists of the line containing the pair of points
(-10,-9) and -(19,-11)
Click here to see answer by Alan3354(30993)

Question 180302: The directions say: Solve each equation by graphing. If integral roots cannot be found, estimate the roots by stating the consecutive integers between which the roots lie.
The problem is written as

Click here to see answer by josmiceli(9686)

Question 180397: Prepare an activity involving a geomtric manipulative
Click here to see answer by solver91311(16897)

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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, 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