Questions on Algebra: Trigonometry answered by real tutors!

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Question 213988: I just recently have learned how to find the vertex of a function. However, with this problem, the fraction ... confused me. :) I get half way through, then get entirely lost!

Determine the vertex of each function by completing the square.

y= 8x^2 + -14x + -72

Thanks!
-B
Click here to see answer by stanbon(26297)

Question 214062: Find all solutions of tan x = 1
Click here to see answer by Theo(675)

Question 214091: Find the exact value of tan210 degree
Click here to see answer by drj(1380)

Question 214658: Prove the following identity: cosx+sinxtanx=secx
Click here to see answer by Alan3354(6097)

Question 214182: I'd have a, maybe somewhat weird, question; I have to draw a scatter plot (which I did), now it says to; "describe the nature of the correlation"...
I have started but didnt come far;
r=Mxy-MX*My over σx*σy= 88.004-(28)(3.143) over .... I dont know what to set in for σx*σy and I dont understand how the problem is then solved.
Could someone help me out with this please?
values of x; 0, 2, 3, 4, 5, 6, 8 values of y; 1, 2, 2, 4, 3, 4, 6
σ = sigma

Click here to see answer by stanbon(26297)

Question 214777: what is:
x is less than pi/7? using interval notation.

Click here to see answer by drj(1380)

Question 214854: find the exact value(s) of x such that 9^x-1-3^x-1-2=0

Click here to see answer by jim_thompson5910(13794)

Question 214969: 2sin(theta)-5+2csc(theta)=0 when 0<(theta)<90 degrees
Click here to see answer by stanbon(26297)

Question 215000: Determine the vertex of the function by completing the square.
-18x^2 + -177x + -190

An explanation of how to go about completing the square would be very much appreciated! Thanks!

Click here to see answer by jim_thompson5910(13794)

Question 215013: The height of a ball thrown directly up from a roof 144 ft high with an initial velocity of 128 ft/sec is given by the formula y= 144 + 128t- 16t^2. What is the maximum height attained by the ball?

At first, the problem looked to be a quadratic equation... but then I assumed it had something to do with the velocity formula. Essentially, I am a bit lost.
Thanks in advance!
-B
Click here to see answer by jim_thompson5910(13794)

Question 215051This question is from textbook Discovering Advanced Algebra

: Please explain and show to me how to solve equations like this!
Write a system of equations that has (2, 7.5) as its solutions.This question is from textbook Discovering Advanced Algebra

Click here to see answer by Alan3354(6097)

Question 215032: I'm actually in pre-calc...i just couldn't find a category for it.
here's my problem!
A ship travels 58 km on a bearing of 20 degrees, and then travels on a bearing of 110 degrees for 133 km. Find the distance from the starting point to the end of the trip, to the nearest kilometer.
Click here to see answer by Alan3354(6097)

Question 215034: Bob is driving along a straight and level road straight toward a mountain. At some point on his trip he measures the angle of elevation to the top of the mountain and finds it to be 25 degrees and 24'. He then drives 1 mile (1 mile=5280 ft) more and measures the angle of elevation to be 34 degrees and 40'. Find the height of the mountain to the nearest foot.
I'm not allowed to use law of sines, i have to solve it algebraically according to my teacher.
i can set it up and make a drawing and everything, i just can't figure it out.
thank you!!!

Click here to see answer by stanbon(26297)

Question 215004: what is cos W= .2598
Click here to see answer by checkley77(7072)

Question 215143: A gutter cleaner wants to reach a gutter 40 ft above the ground. Find the length of the shortest ladder that can be used if the steepest angle at which it can be leaned against the house has measure 75°.
Click here to see answer by RAY100(1637)

Question 215213: If cos(Ѳ)= ½ and Ѳ is in quadrant IV, the value of cos((π/6)+Ѳ) is
Click here to see answer by RAY100(1637)

Question 215364: sec^-1(0) is equal to
Click here to see answer by jim_thompson5910(13794)

Question 215393: Find exact value of Trigonometry functions using the Unit Circle.
tan(pie/3). I know it's square root 3 but how?
Click here to see answer by solver91311(5072)

Question 215393: Find exact value of Trigonometry functions using the Unit Circle.
tan(pie/3). I know it's square root 3 but how?
Click here to see answer by stanbon(26297)

Question 215576: solve 2sin x + sqrt 3<0 for 0<= x < 2pi
a)4pi/3 < x < 5pi/3
b)2pi/3 < x < 4pi/3
c)7pi/6 < x < 11pi/6
d)5pi/6 < x < 7pi/6
Click here to see answer by stanbon(26297)

Question 215584: find an equation of the line that bisects the obtuse angles formed by the lines with equations 3x - y = 1 and x + y = -2
a)(3 sqrt 2 + sqrt 10)x - (sqrt 10 + sqrt 2)y - 2 sqrt(10) + sqrt(2) = 0
b)(3 sqrt 2 - sqrt 10)x + (sqrt 10 - sqrt 2)y + 2 sqrt(10) + sqrt(2) = 0
c)(3 sqrt 2 + sqrt 10)x + (sqrt 10 - sqrt 2)y + 2 sqrt(10) - sqrt(2) = 0
d)(3 sqrt 2 + sqrt 10)x - (sqrt 10 + sqrt 2)y - 2 sqrt(10) - sqrt(2) = 0
Click here to see answer by solver91311(5072)

Question 215580: find the distance between P(-4,3) and the line with equation: 2x - 5y = -7
a)14 sqrt(29) / 29
b)0
c)-16 sqrt(29) / 29
d)16 sqrt(29) / 29
Click here to see answer by drj(1380)

Question 215630: solve sin(theta) = -1 for all real values of (theta)
Click here to see answer by RAY100(1637)

Question 215640: if -849 degrees is in standard position, determine a coterminal angle that is between 0 degrees and 360 degrees. state the quadrant in which the terminal side lies.
Click here to see answer by rfer(2688)

Question 215934: evaluate the six trigonometric functions of the real number t= 5pi/6
Click here to see answer by drj(1380)

Question 216564: What's the square root of 96400?
Click here to see answer by drj(1380)

Question 216682: find the value of sin^-1(sin 5pi/6)
Click here to see answer by Alan3354(6097)

Question 216676: a vector has a magnitude of 18.3 centimeters and a direction of 38 degrees.find the magnitude of its vertical and horizontal components to the nearest tenth
Click here to see answer by drj(1380)

Question 216686: use the law of sines to solve ABC when a=1.43,b=4.21, and A=30.4 degrees.if no solution exists,write none
Click here to see answer by drj(1380)

Question 216692: find the distance between P(7,-4) and the line with equation x-3y+5=0.round to the nearest tenth
Click here to see answer by ankor@dixie-net.com(6693)

Question 216717: a triangular shelf is to be placed in a curio cabinet whose sides meet at an angle of 105 degrees.if the edges of the shelf along the sides measure 56 centimeters and 65 centimeters,how long is the outside edge of the shelf?round to the nearest tenth.
Click here to see answer by rfer(2688)

Question 216754: how do you solve the equation that reads as follows: (cos theta over 1+sin theta) + (1+sin theta over cos theta) = 2sec theta ?
Click here to see answer by jsmallt9(594)

Question 216846: An online music store is having a sale. Any song costs 75 cents and any ringtone costs 50 cents. Emma can buy 6 songs and 2 audiobooks for the same price as 5 ringtones and 3 audiobooks. What is the cost of an audiobook?
Click here to see answer by stanbon(26297)

Question 217014: Finding exact value of this trigonometry function. cos 300
Click here to see answer by jsmallt9(594)

Question 217012: Finding exact value of this trigonometry function. cot135
Click here to see answer by jsmallt9(594)

Question 217104: How do you determine where an angle falls in a quadrant? How would you find out where angle theta is located and how to find the cooresponding angle?
8pi/3 where is its quadrant and corresponding angle?
Click here to see answer by jsmallt9(594)

Question 217152: solve sin(theta)= -1 for all real values of (theta)
Click here to see answer by Alan3354(6097)

Question 217161: find the cross product of the vectors {2,-1,4} and {6,-2,1}.is the resulting vector perpendicular to the given vector?
Click here to see answer by Alan3354(6097)

Question 217224: tan (theta) = 1.4739716
if someone could please tell me how to even begin approaching this problem, it'd be a HUGE help. thank you!!!
Click here to see answer by jim_thompson5910(13794)

Question 217174: a surveyor sets a stake and then walks150 feet north,where she sets a second stake.she then walks 300 feet east and sets a third stake.how far from the first stake is the third stake?round to the nearest tenth
Click here to see answer by rfer(2688)

Question 217157: in a triangle b=6.2 and c=8.2.find a to the nearest tenth degree
Click here to see answer by rfer(2688)

Question 216704: Find the period of the followin function y=2cos(4x-3)
Click here to see answer by chibisan(120)

Question 217308: prove
(1 / tan^2θ ) + (1 / 1+ cot^2θ) = 1
and
(sinθ + cosθ)(tanθ + cotθ) = cscθ + secθ .
plz help thanks
Click here to see answer by chibisan(120)

Question 217322: Find all the angles between 0° to 360° inclusive which satisfy the equation
i) 2cot^2x + 5 = 7cosecx ii) 2cos^2x + 3sinx = 3
Click here to see answer by chibisan(120)

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