Questions on Algebra: Introduction to vectors, addition and scaling answered by real tutors!

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Question 1067725: Determine equations for two lines that pass through (1, -5) and are tangent to the graph y= x^2 -2.
Click here to see answer by josgarithmetic(39617)

Question 1068594: The wind chill factor represents the equivalent air temperature at a standard wind speed that would produce the same heat loss as the given temperature and wind speed. One formula for computing the equivalent temperature is

where v represents the wind speed (in meters per second) and t represents the air temperature . Compute the wind chill for an air temperature of 15�C and a wind speed of 12 meters per second. (Round the answer to one decimal place.) Show your work.

W(t) = {33-(10.45+10sqrtv-v)(33-t)/2204
33-1.5958(33-t)
if 0≤v<1.79
if 1.79≤v<20
if v≥20

Click here to see answer by Fombitz(32388)

Question 1068992: The tangent line to the graph of y = h(x) at the point (-1, 7) passes through the point (9, 9). Find h(-1) and h'(-1).
Click here to see answer by Boreal(15235)

Question 1070149: please determine the component of the force -3i+6j+2k in the direction of the vector -4i+4j+7k.
Click here to see answer by Fombitz(32388)

Question 1071536: Calculate the value of the parameters k and t so that the following lines intersect at point A (1,2)
R:kx - ty - 4 = 0
S:2tx + ky - 2 = 0
Click here to see answer by josgarithmetic(39617)

Question 1071536: Calculate the value of the parameters k and t so that the following lines intersect at point A (1,2)
R:kx - ty - 4 = 0
S:2tx + ky - 2 = 0
Click here to see answer by MathTherapy(10552)

Question 1071537: Determine k so that the lines r and s are parallel.
r:(x-2)/3 = y/(-2)
s:(x+5)/(-6) = (y-1)/k
Click here to see answer by josgarithmetic(39617)

Question 1071535: Find in each case the value of k so that the line r: y = kx + 1 is:
A) Parallel to the OX axis
B) Perpendicular to the line 2x + 3y + 7 = 0
Click here to see answer by Theo(13342)

Question 1071539: Find the value of k so that these lines are coincident.
R:y = 2x + 1
S:x = -6t + k
y = 4t + 2
Line S is an equation system
Click here to see answer by Theo(13342)

Question 1071534: Find the symmetric point of P (1,1) according to the straight r: x-2y-4 = 0
Click here to see answer by Fombitz(32388)

Question 1071685: Which angle forms 3x-2y + 6 = 0 with the abscissa axis (X-axis)?
PS:The slope of the line is the tangent of the angle it forms with the abscissa axis. Find the angle with the slope of the line.
Click here to see answer by Fombitz(32388)

Question 1071851: Calculate m and n on these lines knowing that the line r passes through the point (1,4) and that r and s form an angle of 45 �
r:mx - 2y + 5 = 0
s:nx + 6y - 8 = 0
Click here to see answer by htmentor(1343)

Question 1073136: Please help me solve this problem:
Convert the following vector into rectangular coordinates. 21@230�
(Please round answers to the nearest hundredth)

Click here to see answer by Fombitz(32388)

Question 1073745: Given that m=3i + 2j,n=2i + 2j and p=3i - j,find the unit vector in the opposite direction of 4m+3n-2p
Click here to see answer by Fombitz(32388)

Question 1073780: Suppose that vectors [a, b] and [c, d] are perpendicular. Show that ac + bd = 0.
Click here to see answer by Edwin McCravy(20054)

Question 1074388: Prove the u and v are octhogonal.
1. u=(-8,3), v=(-6,-2)

Click here to see answer by Alan3354(69443)

Question 1074388: Prove the u and v are octhogonal.
1. u=(-8,3), v=(-6,-2)

Click here to see answer by ikleyn(52778)

Question 1074386: Find the angle between the vectors.
1. v=(-3,4) u=(8,5)
2. (-3,8), (-1,-9) this one did not come with u and v.
Click here to see answer by Alan3354(69443)

Question 1074386: Find the angle between the vectors.
1. v=(-3,4) u=(8,5)
2. (-3,8), (-1,-9) this one did not come with u and v.
Click here to see answer by ikleyn(52778)

Question 1076092: An airplane is traveling at a speed of 200 miles/hour with a bearing of 240�. The wind velocity is 60 miles/hour at a bearing of 25�. What are the plane's actual speed and direction angle?
Click here to see answer by Alan3354(69443)

Question 1076093: A plane is traveling due south. The wind is blowing 30� east of south at 50 miles/hour. If the plane's resultant speed due to the wind is 180 miles/hour, what is the plane's actual speed, rounded to the nearest integer?
Click here to see answer by Alan3354(69443)

Question 1076819: Verify that quadrilateral ABCD is a trapeze by using the vectoriel product.
Given coordinate :
A (0,1,0)
B (2,0,3)
C (9,-4,5)
D (5,-2,-1)
Given draw :
B A
-----
/ b \
---------
C D

Click here to see answer by lol.issa.jokes(1)

Question 1077010: Find (a)2v + u, (b)u -3v, and (c)5u - v in the equation of u = <0, -4>, v = <-2,-8> Thanks.
Click here to see answer by jim_thompson5910(35256)

Question 1079908: Find the product z1z2 in standard form. (Simplify your answer completely.)
z1 = 8 + 2i, z2 = −8 + 2i
Click here to see answer by MathLover1(20849)

Question 1079910: Find the product z1z2 in standard form. (Simplify your answer completely.)
z1 = 4 + 4isqrt3, z2 = −4sqrt3 + 4i
Click here to see answer by MathLover1(20849)

Question 1079914: Find two square roots for the following complex number. Leave your answers in trigonometric form. (Enter your angles in radians. Do not use cis form.)
81 cis pi
Click here to see answer by ikleyn(52778)

Question 1079911: Use de Moivre's Theorem to find the reciprocal of each number below.
−sqrt3 − i
Click here to see answer by ikleyn(52778)

Question 1079906: For the ordered pair, give three other ordered pairs with θ between −360� and 360� that name the same point.
(−7, 330�)
Click here to see answer by ikleyn(52778)

Question 1079909: Multiply. Leave the answer in trigonometric form. (Do not use cis form.)
8 cis π/4 � 8 cis 3π/4

Click here to see answer by Alan3354(69443)

Question 1080022: Find two square roots for the following complex number. Leave your answers in trigonometric form. (Enter your angles in degrees. Do not use cis form.)
4(cos 20� + i sin 20�)
Click here to see answer by ikleyn(52778)

Question 1080026: Find three cube roots for the complex number. Leave your answers in trig form. In degrees, not cis form 8(cos 90� + i sin 90�) W0 = W1= W2=?
Click here to see answer by ikleyn(52778)

Question 1080030: For the ordered pair, give three other ordered pairs with θ between −360� and 360� that name the same point.
(−7, 330�)
(r, θ) =
(r, θ) =
(r, θ) =
Click here to see answer by ikleyn(52778)

Question 1080021: Find two square roots for the following complex number. Leave your answers in trigonometric form. (Enter your angles in radians. Do not use cis form.)
81 cis π
Click here to see answer by ikleyn(52778)

Question 1080054: Write the equation with rectangular coordinates.
r(cos θ + sin θ) = 5
Click here to see answer by ikleyn(52778)

Question 1080053: Write the equation in polar coordinates. Then isolate the variable r when possible.
x2 + y2 = 8x
Click here to see answer by ikleyn(52778)

Question 1080053: Write the equation in polar coordinates. Then isolate the variable r when possible.
x2 + y2 = 8x
Click here to see answer by rapture(86)

Question 1080055: Make a table of ordered pairs using values of θ that are multiples of 45�.
r = 8 cos θ
0�=
45�=
90�=
135�=
180�=
225�=
270�=
315�=
Click here to see answer by Alan3354(69443)

Question 1080029: For the ordered pair, give three other ordered pairs with θ between −360� and 360� that name the same point.
(6, 60�)
(r, θ) =
(r, θ) =
(r, θ) =
Click here to see answer by rapture(86)

Question 1080058: May I have someone else help me with this question. The last tutor only said "Use your calculator."
Thank you
Make a table of ordered pairs using values of θ that are multiples of 45�.
r = 8 cos θ
0�=
45�=
90�=
135�=
180�=
225�=
270�=
315�=
Click here to see answer by Boreal(15235)

Question 1080068: Find the remaining sides of a 30�-60�-90� triangle if the longest side is 11. (Enter your answers as a comma-separated list.)
Click here to see answer by Alan3354(69443)

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