# Questions on Algebra: Equations answered by real tutors!

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 Algebra: Equations Solvers Lessons Answers archive Quiz In Depth

 Question 316484: find an equation for the straight line through the points with coordinates (-1,-1) and (3,-2) please show working Click here to see answer by mananth(12270)

 Question 316455: if the difference of two numbers is 8 and their product is 17, what is the sum od their squares ? Click here to see answer by Fombitz(13828)

 Question 316676: In the following system of equations, what does x equal? 8x + 5y = 5 3x + 3y = 9 Click here to see answer by nyc_function(2733)

 Question 316747: Hi all, Hoping someone would help me to Simplify the following the following expressions: a) 2*2^2(a+b)c^2 / 16[(a+b)c]^2 and b) (x^2 - y^2) / (x+y) +y Answers with full working would be great. Thanks, -Nick. Click here to see answer by mananth(12270)

 Question 316756: Please help me. For the complex number, state the real part, the imaginary part and identify the number as real, pure imaginary or nonreal complex. -7-8i Click here to see answer by jim_thompson5910(28504)

 Question 316771: please help me. State whether the vertex of the function is a maximum or minimum and give the corresponsing maximum or minimum value of the function. f(x)= x square + 14x+47 Thanks Click here to see answer by Fombitz(13828)

 Question 316785: Solve. Find the length of the diagonal of a rectangle that has a length of 16 ft. and width of 10 ft. Click here to see answer by Fombitz(13828)

 Question 316768: HELP me please. Find the equation of the axis of symmetry of the parabola f(x)=(x+1)square + 8 Click here to see answer by Alan3354(30983)

 Question 316767: Which of the following expressions is equivalent to 20 - 4/5 x >= 16 ? a.x<=5 b.x>=5 c.x>=32 1/2 d.x<=32 1/2 Please explain and show work Click here to see answer by Fombitz(13828)

 Question 316784: Solve. A 10 meter ladder is leaning against a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ladder? Click here to see answer by Fombitz(13828)

 Question 316786: Solve. Ann Cobb lives 20 miles due north of her favorite radio station. While driving due east from her house , she was able to keep the radio signal for 75 miles. What is the broadcasting range of her favorite radio station? Click here to see answer by Fombitz(13828)

 Question 316876: Please help me with this. Find the distance between P and Q and the coordinates of the midpoint of the segment joining P and Q. P(2,7),Q(4,1) Click here to see answer by Fombitz(13828)

 Question 316782: Jack has a 75 foot vertical TV antenna on his roof. He wants to connect a guy wire from the top of the antenna to a hook on the roof. The hook is located 15 feet from the base of the antenna. Ho many feet of wire will be needed? Click here to see answer by checkley77(12569)

 Question 316922: Solve the following systems of equations: 4p-6Q+7r = -7 2p+3Q-5r =7 8p-2r=6 Click here to see answer by Fombitz(13828)

 Question 316833: an algebraic equation for the following: The difference between the number a and three times b is equal to twelve. Click here to see answer by Fombitz(13828)

 Question 316900: Solve. The diagonal of a rectangle box is 12 inches long. One side of the box is 8 inches long. What is the length of the other side? Click here to see answer by JBarnum(2044)

 Question 317002: Find the following. Assume that variables can represent any real number. sqrt(a+7)^2 Click here to see answer by jim_thompson5910(28504)

 Question 317021: Hi all, I have a prolem involving converting powers within an Equation: As a result of a volcanic eruption, ash began to fall at a rate of: (12 Kg) / (m^2 year) Transform this quantity into: (g) / (mm^2 month) Any help with steps and full working would be great. Thanks, -Nick. Click here to see answer by mananth(12270)

 Question 317023: Garden Area Problem. A designer created a garden from two concentric circles whose equations are as follows: (x+2)small 2 +(4-6) small 2 =16 and (x + 2) small 2 +(y -6) small 2 =81 (I hope yu can understand this) Thanks Click here to see answer by Alan3354(30983)

 Question 317046: i am trying to learn how to raise binomials to the 5th power. Here is the problem: (z-1)^5. i cant figure out how to get the formula. the book says that the co-efficients of this problem will come out to 1 5 10 10 1. with giving me those numbers i still dont know how to put them all together and come up with a formula to begin working the problem. when the book gives me the formula : a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5 , i can plug the equations in, but if i am taking a test i wouldnt know where to begin to get the formula. Please help. Click here to see answer by stanbon(57250)

 Question 317028: Hi all, Was hoping someone would help me solve for the co-efficient in the following: Population of rabbits on an isolated island exponentially increased because of the absence of predators. N(t) = N0e^kt (The 0 is a lower case zero) The initial population at t=0 was 10 and at t=1/2 the population reached 100.Determine the co-efficient k. Do not convert answer to decimal points. Thanks, -Nick. Click here to see answer by scott8148(6628)

 Question 317031: The graph of y= -4x + 5 is shown on the next page. Check your work. The value of x when y = -3 Not sure what the question is asking?? Click here to see answer by nyc_function(2733)

 Question 317050: Give the solutions to the following quadratic equation by examining the graph of the related quadratic function: Graph: y = x2 + 2x -15. Equation: x2 + 2x - 15 = 0 Click here to see answer by Fombitz(13828)

 Question 317098: Using the principle of zero products how would you solve the following problems:1. (9b+5)(4b-12)=0; 2.b^2+8b+12=0. I have been trying and can not seem to get the correct answer. Can you help? Click here to see answer by jim_thompson5910(28504)

 Question 317097: I am having trouble figuring out how to factor the three problems listed below:1. x^2+2x-2x-4;2.v^2+9v+14;3. r^2-2r-48. I have been working on them for about 1 1/2 hours at this time and just can not seem to get any where can you help? Click here to see answer by jim_thompson5910(28504)

 Question 317100: The product of page numbers on two facing pages of a book is 182. How would you find the page numbers? I have tried and cannot figure out how to do this.Can you show me how? Click here to see answer by jim_thompson5910(28504)

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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