Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 198711: The hypotenuse of a right triangle is 2cm more than the longer leg, while the longer leg is itself 2cm more than the shorter leg. Find the length of the hypotenuse.
Click here to see answer by solver91311(24713)

Question 198830: Joe has a collection of nickels and dimes that is worth $6.05. If the number of dimes was doubled and number of nickels was decreaseed by 10, the value of the coins would be $9.85. how many dimes does he have?
f(x) = ax^2 + bx + c = 0
using this formula I cannot figure the answer out. please help.
Click here to see answer by jim_thompson5910(35256)

Question 198828: Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as:
Integers
Rational numbers
Irrational numbers
I don't understand how to set these up... can someone give me some examples and explanations so i can form my own equations?
Click here to see answer by jim_thompson5910(35256)

Question 198910: The original dimensions of a rectangle were 15cm by 20cm. When both dimensions were decreased by the same amount, the area of the new rectangle is half the area of the original rectangle. Find the dimensions of the new rectangle. Use let statements
Click here to see answer by anantha(86)

Question 198912: A picture frame dimesions are 20cm by 30cm. If a mat was put inside the frame that decreases the picture area by 264cm^2, how wide is the mat?
Click here to see answer by ankor@dixie-net.com(22740)

Question 198990: You can drive 70 mph on the freeway and 35 mph in town. If an 80 mile drive took you 2 hours, how long did you drive in town?
Click here to see answer by solver91311(24713)

Question 198990: You can drive 70 mph on the freeway and 35 mph in town. If an 80 mile drive took you 2 hours, how long did you drive in town?
Click here to see answer by RAY100(1637)

Question 198989: How much 15% acid must you add to 4 liters of 40% acid to obtain a mixture that is 25% acid?
Click here to see answer by RAY100(1637)

Question 198987: You have to watch your salt intake. One 16 ounce can of soup contains 500 mg of salt and another 24 oz can contains 600 mg of salt. If you add the two cans t0 20 oz of water, what rate of salt do you now have in the mixture? (salt per oz)
Click here to see answer by stanbon(75887)

Question 199086: 7[2x-4-2(x+1)]=7x+3
Click here to see answer by jim_thompson5910(35256)

Question 199086: 7[2x-4-2(x+1)]=7x+3
Click here to see answer by RAY100(1637)

Question 199098: 1. Determine the number of solutions and classify the type of solutions for each of the following equations. 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
any help would be appriciated.
Click here to see answer by jim_thompson5910(35256)

Question 199097: 4. 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?
Click here to see answer by solver91311(24713)

Question 199094: What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation "x2 - 10x - 39 = 0".
I am new to algebra and I have a learning dissablitlty could you help.
Click here to see answer by solver91311(24713)

Question 199114: how many solutions exist for a quadratic equation?
Click here to see answer by actuary(112)

Question 199136: : 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?
Click here to see answer by checkley75(3666)

Question 199172: The problem i am having is solving problems using the quadratic formula the the question is 3x squared equals negative 10x minus 4 thank you for any help you can provide.
Click here to see answer by Edwin McCravy(20054)

Question 199176: Please help me solve this problem.
y=2(x-4)^2-2
Sketch the graph and label the intercpts and the vertex. Give exact values and show your work.
Thank you
Click here to see answer by rfer(16322)

Question 199175: Please help me solve this problem.
A parabolic arch has a span of 120 feet and a maximum height of 25 feet. Choose a suitable rectangular coordinate system and find the equation of the parabola. Then calculate the height of the arch 10, 20 and 40 feet from the center. Provide a sketch representing the situation and be sure it is clearly labled with coordinates.
Click here to see answer by Edwin McCravy(20054)

Question 199199: 2.Form each of the following:
�A linear equation in one variable 8x -1 =0
�A linear equation in two variables
�A quadratic equation 3 x2+9 x-12
�A polynomial of three terms x^3 +3x +5
�An exponential function
�A logarithmic function

Click here to see answer by Alan3354(69443)

Question 199209: I need the quadratic equation for the following
twice the square of a number is the same as eighttimes the same numbers
Click here to see answer by ankor@dixie-net.com(22740)

Question 199210: i need the quadratic equation to the following please
twice the square of a number is the same as eight times the same numbers
Click here to see answer by RAY100(1637)

Question 199215: The hypotenuse of a right triangle is 13cm. The sum of the lengths of the two other sides is 17cm. Find the unknown lengths.
Click here to see answer by ankor@dixie-net.com(22740)

Question 199241:

How do you ask a question that requires a graph? In other words,how do you post a graph in the section that you submit type written questions in?

Click here to see answer by jim_thompson5910(35256)

Question 199208: Somehow my jamielee90@ymail.com address doesnt seem to be working since I never seem to recieve a msg's from this site, on that account, so I asked a friend to make me an account on his, hope it goes through now =/
Ok so to the real problem, I dont get how to solve these problems, could someone help me out here?
1)Find a quadratic equation with roots (4+i) and (4-i).
2)Find the irrational roots of x^3-4x^2+2x+1=0 (I should also use the quadratic formula to solve it)
3) x^3-2x^2+x-3=0 what are the possible rational roots?
As you might see I am not too good with roots, I never really have been =(
Click here to see answer by jim_thompson5910(35256)

Question 199238: What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation x^2-10x-39=0?
Click here to see answer by RAY100(1637)

Question 199224: The diagonal of a rectabgle is 8cm. The length of the rectangle is 1.6cm more than the width. Find the dimensions

Click here to see answer by checkley77(12844)

Question 199285: For the following equation, state the value of the discriminant and then describe the nature of the solutions. 14x^2-9x-7=0
Click here to see answer by jim_thompson5910(35256)

Question 199316: how do you solve
x2-3x+2?
8x(Squared)-4x=24?
2x(squared)+9x+4?
16x(squared)-8x=-1

Click here to see answer by checkley77(12844)

Question 199327: Find an equation for which -3 and 4 are solutions.
Click here to see answer by RAY100(1637)

Question 199371: Analytic Geometry
13. On a street map,the coordinates of the two fire stations in a town are A(10,63) and B(87,30). A neighbour reports smoke coming from the kitchen of a house at C(41,18)
a)Which fire station is closer to this house?
Thank you!!!!!
Click here to see answer by solver91311(24713)

Question 199372: Analytic Geometry
14. Use analytic geometry to classify the quadrilateral with vertices D(10,0), E(2,4), F(-8,-6), and G(6,-8). Explain your reasoning and show all your work.

PLEASE HELP ME!!!
THANK YOU ALOT!!!!
Click here to see answer by solver91311(24713)

Question 199381: Analytic Geometry
14. Determine the shortest distance from the point H(5,2) tot he line through points J(-6,4) and K(-2,-4)
Thank you alot!!
Click here to see answer by Alan3354(69443)

Question 199383: Analytic Geometry
13. a) Draw the triangle with vertices P(-2,-2),Q(2,4), and R(8,0).
b) Show algebraically that PQR is a right triangle.
c)Is PQR also an isosceles triangle? Use algebraic reasoning to justify your anser.

I need help in this question.....PLEASE...
Thank you very much!!!!!!
Click here to see answer by solver91311(24713)

Question 199315: In California, the distance from Jackson to Lodi is about 40 mi, as is the distance from Lodi to Manteca. Rico drove from Jackson to Lodi during the rush hour, stopped in Lodi for a root beer, and then drove on to Manteca at 10 mph faster. Driving time for the entire trip was 88 min. Find his speed from Jackson to Lodi
Click here to see answer by ankor@dixie-net.com(22740)

Question 199418: Apply the quadratic formula to find the roots of the given function, and then graph the function g(x) = x^2 + x + 12
Click here to see answer by rfer(16322)

Question 199377: Analytic Geometry
10. Determine the shortest distance from the point (5,2) to the line represented by y=2x+1. Use a diagram to check your answer.

thanksss
Click here to see answer by Alan3354(69443)

Question 199380: Analytic Geometry
11. Determine the shortest distance from the origin to the line represented by
y=1/2x-2.
Thank you!@@
Click here to see answer by solver91311(24713)

Question 199445: Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle. Can you help me with this one?
Click here to see answer by edjones(8007)

Question 199443: 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? Can you help me with this one?

Click here to see answer by nerdybill(7384)

Question 199451: How can I covert any quadratic equations like 3(x^2-2x)=2x^2-8 or x^2-3x-40=48 into standard/general form (ax^2+bx+c=0)?I know there is four ways to
covert, the two ways I need help with are converting by subrtracting a number from both sides and other expand quadratic equation and collect like terms.
Can you give me two examples for each solution?
Click here to see answer by rfer(16322)

Question 199452: What is the Domain and range of a parabola with a vertex at (0,-2)?
Click here to see answer by rfer(16322)

Question 199441: Can you give an example of a quadratic equation for D=0?
Click here to see answer by rfer(16322)

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, 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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, 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