Questions on Algebra: Radicals -- complicated equations involving roots answered by real tutors!

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Question 344497: Applications
We can determine the time it would take an object to fall (if there were no air resistance) by using the formula t=1/4√d where d is the distance
A. how long does it take a quarter dropped from a 35foot roof to reach the ground?
B. If there are 5280 feet in one mile, how long would it take an object to fall 1-1/2 miles?
C. If it takes an object 5.9 seconds to fall d feet, how tall is the object?

I tried sloving with a graphic calculator but I am not certain on how to show work. Please help

Click here to see answer by Alan3354(69443)

Question 344740: Hello,
I am in Geometry, and we are required to use algebra to solve for angles and measures. But I've stumbled upon something I have forgotten in algebra. Your help would be greatly appreciated. Here's the problem:
9x^2 + x - 1 = x^2 + x + 7
I have already managed to do this:
9x^2 + x - 1 = x^2 + x + 7

8x^2 + x - 1 = x + 7

8x^2 - 1 = 7

8x^2 = 8
*This is where I get stuck.
How do I get rid of the x squared so all i'm left with is the value of x?
Click here to see answer by scott8148(6628)

Question 344858: If a projectile is launched with an initial velocity of v0 feet per second from an initial height of s0 feet, then its height s(t)in feet is determined by the quadratic function s(t)=-16t^2+v0^t+s0 where t is the time in seconds. When you graph the function you will have the parabolic shape where the maximum point is called the vertex. If a ball is tossed upward with velocity 64 feet per second from a height of 5 feet, the function to represent the height at any time t is given with the equation s(t)=-16t^+64t+5
Click here to see answer by stanbon(75887)

Question 345182: solve radical equation and check solution....???...
sqrt(x-5)-sqrt(x-8)=3
Click here to see answer by jsmallt9(3758)

Question 345633: (4s-8)^2=81 ...thank you for your time
Click here to see answer by Fombitz(32388)

Question 345667: p^2+7p+12>o.....this is what i got p>-4....p>-3 i try to graph it the answer given to us is <-------)-4 -3(----------> if i get >-4 >-3 why is the answer <-4 >-3
Click here to see answer by scott8148(6628)

Question 345941: 3 times sqrt (100x^2) OVER 2 times sqrt (2x^-1) (it's a fraction equation and we are supposed to use the quotient rule and simplify if possible)
thank you so much for any help
Click here to see answer by Alan3354(69443)

Question 345905: The section we are doing is "Simplifying Radical Expressions"
And the problem is:
negative sign, then sqrt 20ab^6
Please help....thank you for your time
Click here to see answer by Fombitz(32388)

Question 345955: Write in simplified radical form by rationalizing the denominator.

root 3-2 over -5 root 3+8
Click here to see answer by jsmallt9(3758)

Question 346195: Please explain the steps on how to find the domain of 27x + 1 over the square root of 3 - x.
Thank you
Click here to see answer by Fombitz(32388)

Question 346419: Simplify 16^1/2
Click here to see answer by ewatrrr(24785)

Question 346530: Find all real solutions
x^6+7x^3-8=0
Click here to see answer by solver91311(24713)

Question 346529: sqrt(5-x)=x+7
Click here to see answer by Fombitz(32388)

Question 346781: hi i need help with the problem "100v power to 3
Click here to see answer by Fombitz(32388)

Question 346787: Radical 63 over radical 8.
Explain your steps?
Click here to see answer by rfer(16322)

Question 346922: 11^1/2*11^3
Click here to see answer by jsmallt9(3758)

Question 347550: In a paragraph, describe how to simplify each expression. 161/2 Square Root of 100

Click here to see answer by haileytucki(390)

Question 347571: what is Radical 39 dived by radical 3
Click here to see answer by jim_thompson5910(35256)

Question 347687: how do you simplify 15x^2+75x-1260

Click here to see answer by jim_thompson5910(35256)

Question 347687: how do you simplify 15x^2+75x-1260

Click here to see answer by Fombitz(32388)

Question 347690: Solve these problems?
a.)
b.)
c.) }
d.)

Click here to see answer by solver91311(24713)

Question 347819: express using a positive exponent h^-5
Click here to see answer by jim_thompson5910(35256)

Question 347958: p(-6,-5), q(6,10)points.....the d=(p,q) and the midpoint thanks for ur time and help!
Click here to see answer by stanbon(75887)

Question 347992: can you please show me hoe to get the distance of p(-6,-5) Q (6,10) thanks!
Click here to see answer by Alan3354(69443)

Question 348248: square root (y-2) - square root (5y+1) = -3
solve for y
Click here to see answer by ewatrrr(24785)

Question 348380: A student drove a distance of 135 miles at an average speed of 50 mph. How much faster would he have to drive on the return trip to save 30 minutes of driving time?
Click here to see answer by checkley77(12844)

Question 348379: A plane that can fly 200 mph in still air makes a 330 mile flight with a tail wind and returns, flying into the same wind. What is the speed of the wind if the total flying time is 3 1/2 hours?
Click here to see answer by checkley77(12844)

Question 348412: simplify: sqrtc-sqrtd/sqrtc+sqrtd
Click here to see answer by haileytucki(390)

Question 348412: simplify: sqrtc-sqrtd/sqrtc+sqrtd
Click here to see answer by Alan3354(69443)

Question 348365: 2x^(2/3) - 5x^(1/3) - 12 = 0 solve for x
Click here to see answer by Fombitz(32388)

Question 348713: Please help me...
x - sqrt( 4-3x ) = -8
I know I'm supposed to get the radical by itself. But the answer I got differs from the book. Thank you in advance.
Click here to see answer by Fombitz(32388)

Question 348745: How do I write the domain of a function in set notation?
Math problem:
f(x)=(x^2 + 16)/x^2 - 3x - 28
I have that the number that should be excluded from the domain is "7"
But I do not know how to write the domain of the function in set notation?
Thank you
Click here to see answer by stanbon(75887)

Question 348774: (125a^8)1/3
Click here to see answer by stanbon(75887)

Question 348821: Okay, sorry, I have another question. These radicals are killing me!
sqrt ( x-3 ) + sqrt ( x+2 ) = 5
Really hard for a student do when there's not ONE example to turn to look for help in the book. Sheesh. Thank you again in advance!
Click here to see answer by scott8148(6628)

Question 348844: What would be the square root of 4y over 3y^2?
Click here to see answer by Fombitz(32388)

Question 349075: Let a - 1 and b - 64.
a. Evaluate sqrt a + sqrt b. Then find sqrt a+b. Are they equal?
b. Evaluate ^n sqrt a + ^n sqrt b. Then find ^n sqrt a+b. Are they equal?
c. Complete the following: be general, ^n sqrt a + ^n sqrt b = _______ based on the observations in parts (a) and (b) of this exercise.
Click here to see answer by Alan3354(69443)

Question 348264: Rationalize the numerator. Then, simplify the result. 2√3+√3/3
Click here to see answer by nyc_function(2741)

Question 348258: Rationalize the denominator. Then, simplify the result. 3/√5+√6
Click here to see answer by nyc_function(2741)

Question 349238: how do i get 5-3(x+2)<10x
Click here to see answer by Fombitz(32388)

Question 349403: how do i get an answer for 4y+y+1=7(y-1)?
im having alot of truble with algebra im a sophmore still taking algebra-1
Click here to see answer by haileytucki(390)

Question 349402: Find the domain of the function.
f(x) = sqrt(13-x)
Answer choices:
A. (negative infinity, 13) or (13, infinity)
B. (sqrt(7), infinity)
C. (negative infinity, 13]
D. (negative infinity, infinity)
Thanks! (:
Click here to see answer by haileytucki(390)

Question 349485: Okay I've been staring at this problem for 10 mins, and I just don't know how to get the answer. Please help me.
sqrt ( x - 2 ) + 3 = sqrt ( 4x + 1 )
I know we're supposed to get one radical by itself, but one already is. And then the power rule to eliminate the radicals. But from there, I'm stuck. Thank you for your time.
Click here to see answer by Alan3354(69443)

Question 349602: Please help me.
sqrt ( x - 2 ) + 3 = sqrt ( 4x + 1 )
I know we're supposed to get one radical by itself, but one already is. And then the power rule to eliminate the radicals. But from there, I'm stuck.
Thank you for your time.
Click here to see answer by Fombitz(32388)

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