Questions on Algebra: Trigonometry answered by real tutors!

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Question 90771: Find the distnace d(A,B) between the points A(-1,0) and B(4,3).
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 86884: please solve this problem: please solve trigonometric equation 3sin theta-4 cos theta = 2 give all positive values of the angle between 0 to 360 degress give any approximate value to the nearest minute only.
Click here to see answer by vertciel(183)

Question 91380: For 0 degrees < x < 90 degrees, how many solutions are there for the equation 2 sin x = cos X?
Click here to see answer by stanbon(57327)

Question 91467: Given vectors a={7,4} and b={2,3}. Find 2a-b.
Click here to see answer by jim_thompson5910(28593)

Question 91487: Use the addition and subtraction formula to simplify cos(x+pi)
Click here to see answer by Nate(3500)

Question 87724: Determine the measure of angle B of triangle ACB, given the following information: A=69degrees, a=25ft, b=16ft
Click here to see answer by throwabunny(3)

Question 91508: Find all solutions to the equation cos x = -1.
Click here to see answer by stanbon(57327)

Question 91503: Find the directrix of the parabola 12(y+4)=(y-6)^2
Click here to see answer by stanbon(57327)

Question 91505: Find the third term in the recursively defined sequence:
asub1 = 3, a subk+1 = asubk(asubk-1)
Click here to see answer by stanbon(57327)

Question 91504: Find the vertices of the ellipse x^2/4 + y^2/25 = 1
Click here to see answer by Nate(3500)

Question 92375: find the length of the arc on a circle of radius r=16 inches by a central angle = 60 degrees?
Click here to see answer by prabhjyot(164)

Question 92468: Let f(x)= x cube-8x squared+17x-9. Use the factor theorem to find other solutions to f(x)-f(1)=0, besides x=1.
Click here to see answer by Nate(3500)

Question 92466: Find a polynomial with leading coefficient 1 and degree 3 that has has -1, 1, and 3 as roots.
Click here to see answer by Nate(3500)

Question 92475: The polynomial f(x) divided x-3 results in a quotient of x squared+3x-5 with a remainder of 2. Find f(3).
Click here to see answer by stanbon(57327)

Question 92462: Express the following stattement as a formula with the value of the constant of proportionality determined with the given conditions: w varies directly as x and inversely as the square of y. If x=15 and y=5, then w=36.
Click here to see answer by stanbon(57327)

Question 92474: Find the quotient and remainder of f(x)= x cube-4x squared+5x+5 divided by
p(x)= x-1.
Click here to see answer by stanbon(57327)

Question 92473: Given that (3x-a)(x-2)(x-7)=3x cubed-32x squared+87x-70, determine the value of a.
Click here to see answer by stanbon(57327)

Question 92463: The degree three polynomials f(x) with real coefficients and leading coefficent 1, has 4 and 3+i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.
Click here to see answer by ankor@dixie-net.com(15649)

Question 92464: Find the quotient and remainder of f(x)=x^4-2 divided by p(x)=x-1.
Click here to see answer by jim_thompson5910(28593)

Question 92461: Find the quotient and remainder of f(x)=x cubed-4x squared+5x+5 divided by
p(x)= x-1.

Click here to see answer by jim_thompson5910(28593)

Question 92557: Find the horizontal asymptote of the rational function: f(x)= 8x-12/4x-2
Click here to see answer by chitra(359)

Question 92558: Given that (3x-a)(x-2)(x-7)=3x cubed-32x squared+87x-70, determine the value of a.
Click here to see answer by Edwin McCravy(8908)

Question 92556: Find the polynomial f(x) of degree three that has zeroes at 1,2, and 4 such that f(0)= -16.
Click here to see answer by bucky(2189)

Question 92734: The electrical resistance R of a wire varies directly as its length L and inversely as the square of its diameter. A wire 20 meters long and 0.6 centimeters in diameter made from a certain alloy has a resistance of 36 ohms. What is the resistance of a piece of wire 60 meters long and 1.2 centimeters in diameter made from the same material?
Click here to see answer by psbhowmick(529)

Question 92729: Find the vertical asymptote of the rational function: f(x)=3x-12/4x-2
Click here to see answer by scott8148(6628)

Question 92728: The polynomial f(x) divided x-3 results in a quotient of x squared+3x-5 with the remainder of 2. Find f(3).
Click here to see answer by scott8148(6628)

Question 92731: A rectangle is placed under the parabolic arch given by f(x)=27-3x squared by using a point (x,y) on the parabola, as shown. Write a formula for the function A(x) that gives the area of the rectangle as a function of the x-coordinate of the point chosen.
Click here to see answer by scott8148(6628)

Question 92853: Select the line parallel to 6x+14y=20
Click here to see answer by checkley75(3666)

Question 92873: The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shortened to achieve a 1 second period?
Click here to see answer by stanbon(57327)

Question 92878: Find all roots of the polynomial x cube-x squared+16x-16.
Click here to see answer by stanbon(57327)

Question 92854: The line 6x+9y=8 has a slope.
Click here to see answer by checkley75(3666)

Question 92879: If f(x)= x(x-1)(x-4), use the interval notation to give all values of x where f(x)>0.
Click here to see answer by bucky(2189)

Question 92856: An item costs $900, has a scrap value of $50, and useful life of five years. The linear equation relating book value and number of years is.
Click here to see answer by psbhowmick(529)

Question 92930: find the vertical asymptote of the rational function: f(x)=3x-12/4x-2
Click here to see answer by Earlsdon(6287)

Question 92860: The solution to the system of equations below is: 3x+4y=-6, x-5y=17
Click here to see answer by Tunde(2)

Question 92871: The dot product 3 1 4 x 2
-1
5 is:
Click here to see answer by scott8148(6628)

Question 92867: The inverse of 1 -1 0
0 1 1
1 0 -1 is:
Click here to see answer by Edwin McCravy(8908)

Question 93110: Solve the equation 4^2x+1=2^3x+6.
Click here to see answer by venugopalramana(3286)

Question 93111: The amount A in an account after t years of an initial principle P invested at an annual rate r compounded continuously is given by A=Pert where r is expressed as a decimal. What is the amount in the account if $500 is invested for 10 years at the annual rate of 5% compounded continuosly?
Click here to see answer by tutorcecilia(2152)

Question 93114: Find an exponential function of the form f(x)=ba^x+c with y-intercept 2, horizontal asymptote y=-2, that passes through the point P(1,4).
Click here to see answer by venugopalramana(3286)

Question 93113: Solve the equation In(x+5)- In(3)=In(x-3).
Click here to see answer by Nate(3500)

Question 93115: A bacteria culture started with a count of 480 at 8:00 A.M. and after t hours is expected to grow to f(f)=480(3/2)^t. Estimate the number of bacteria in the culture at noon the same day.
Click here to see answer by Nate(3500)

Question 93112: The amount A in an account after t years from an initial pricnciple P invested at an annual rate r compounded continuosly is given by A=Pert where r is expressed as a decimal. How many years will it take an initial investment of $1,000 to grow to $1,700 at the rate of 4.42% compounded continously?
Click here to see answer by stanbon(57327)

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