Questions on Algebra: Coordinate systems, graph plotting, etc answered by real tutors!

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Question 1022730: The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?
x – 4y = 8
x – 4y = 2
4x – y = 8
4x – y = 2

Click here to see answer by FrankM(1040) About Me 

Question 1022763: Find an equation of the tangent line to the graph of the equation at the given point. x^2 + x arctan y = y − 1, (-π/4,1)

Click here to see answer by Alan3354(69443) About Me 

Question 1022762: Find an equation of the tangent line to the graph of the function at the given point. y = 8x arccos(x − 1) point (1,4π)

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Question 1023204: 2x+y=3 -2x+5y=-9
Click here to see answer by fractalier(6550) About Me 

Question 1023274: There are 20 people who work in a office together. Five of these people are selected to go to a conference. How many selections are possible?
Click here to see answer by ikleyn(52747) About Me 

Question 1023454: Find xy components of an ordered pair(8,5).
What is the perimeter of triangle ABC?

Click here to see answer by ikleyn(52747) About Me 

Question 1024182: I have no idea how to do this, please help.
Graph both of the following functions on the same set of axes. You will need to plot the vertex, know the direction, AND find at least FOUR additional points for each function.
f(x) = – (x + 2)² +1
f(x) = – |x – 1|+5

Click here to see answer by stanbon(75887) About Me 

Question 1024680: what are the ordered pairs of the equation y=1/2x+9
Click here to see answer by MathLover1(20849) About Me 

Question 1025440: simplified 4/5/6

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Question 1025518: how do I graph -4 +7y=9y
Click here to see answer by fractalier(6550) About Me 

Question 1025949: Use the distance formula to determine if the triangle is a right triangle (the three sides satisfy the Pythagorean theorem a2+b2=c2)
(5,2)(0,-3)(4,-4)

Click here to see answer by addingup(3677) About Me 

Question 1025958: How do you find the y-axis on the linear graph..? i find it quite confusing
Click here to see answer by josgarithmetic(39613) About Me 

Question 1026004: Directions: Find the equation of a circle satisfying the conditions given, then sketch its graph:
Problem: Center at (-8,3), graph contains the point (-3,15)

Click here to see answer by richard1234(7193) About Me 

Question 1026295: Prove that any given point on a parabola is the same distance from the focus and directrix.
Fast help wold be great, I've been trying to figure this out for a week already.
Thanks in advance!

Click here to see answer by Alan3354(69443) About Me 
Question 1026295: Prove that any given point on a parabola is the same distance from the focus and directrix.
Fast help wold be great, I've been trying to figure this out for a week already.
Thanks in advance!

Click here to see answer by ikleyn(52747) About Me 

Question 1026746: find an equation in polar coordinates in 4x^2+y^2=4
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1027516: Hi!
Can you please help me solve this equation.
Find the x and y intercepts of the graph of f
f(x)= x^2+3x+2

Click here to see answer by josgarithmetic(39613) About Me 
Question 1027516: Hi!
Can you please help me solve this equation.
Find the x and y intercepts of the graph of f
f(x)= x^2+3x+2

Click here to see answer by josmiceli(19441) About Me 

Question 1027640: Three points A,B,C are on level ground such that B is due north of A, the bearing of C from A is 35 degrees and the bearing of C from B is 125 degrees. If the distance between A and B is 100m, calculate the distance of C from A to 1dp.
Thanks!

Click here to see answer by Cromlix(4381) About Me 

Question 1028064: Make up an equation of the form y = kx +b, the graph of which passes through the following points:
A (8, –1) and B (–4, 17)

Click here to see answer by josgarithmetic(39613) About Me 
Question 1028064: Make up an equation of the form y = kx +b, the graph of which passes through the following points:
A (8, –1) and B (–4, 17)

Click here to see answer by Fombitz(32388) About Me 

Question 1028209: I know this is strictly calculas but here goes.
I have differentiate v=V(1- e^(-t/T))
but can't get a suitable answer
V is volts =5
t is time = 0.006 (seconds)
T is a time constant and = 0.0047 (seconds)
The equation is to do with capacitor charging curves
Any help is greatly appreciated

Click here to see answer by Alan3354(69443) About Me 

Question 1029055: h%28t%29=-16t%5E2%2B64t%2B90 please help me find
The max height Please
The total time the ball is in the air
The vertex would be nice to

Click here to see answer by Boreal(15235) About Me 
Question 1029055: h%28t%29=-16t%5E2%2B64t%2B90 please help me find
The max height Please
The total time the ball is in the air
The vertex would be nice to

Click here to see answer by Natolino1983(23) About Me 
Question 1029055: h%28t%29=-16t%5E2%2B64t%2B90 please help me find
The max height Please
The total time the ball is in the air
The vertex would be nice to

Click here to see answer by solver91311(24713) About Me 

Question 1029264: need the correct equation
(0,1) (2,-3) (4,-7)

Click here to see answer by Alan3354(69443) About Me 

Question 1029013: Which of the following represents the volume of the solid formed by revolving the region bounded by the graphs of y = x^3, y = 1, and x = 3, about the line x = 3?
Click here to see answer by richard1234(7193) About Me 

Question 1029796: domain and range of
1) y= 1/x-12
2) y=9/10-2x
3)y=9/10-2x
4)y=5x+1/2x+5
5)y=10/x^2+5

Click here to see answer by ikleyn(52747) About Me 

Question 1030031: Yes if I could get some help on this it would be much appreciated.
Let f(x)=3x^2-1 and g(x)=2x+5
Find f(g(-4)) and g(f(-4))

Click here to see answer by stanbon(75887) About Me 

Question 1030770: Find the x- and y-intercepts.
Graph: http://i.imgur.com/0TmFPa2.png
Select one:
a. x-intercept: (-4, 0)
y-intercept: (0, -2)
b. x-intercept: (2, 0)
y-intercept: (0, 4)
c. x-intercept: (0, -4)
y-intercept: (-2, 0)
d. x-intercept: (-2, 0)
y-intercept: (0, -4)
Thanks for the help.

Click here to see answer by josgarithmetic(39613) About Me 

Question 1030734: C=5x+4y....subject to the following constraints...x<-2,x>-4,y>1,y<6...
Click here to see answer by Fombitz(32388) About Me 

Question 1030791: L1 has equation kx + 3y = 7 and gradient 3/4
A. Find K

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Question 1031719: 3. Which expression is equivalent to the following expression? a^2x^2-2cx^2+a^2y-2cy (show work)
A. (x2 – y)(a2 – 2c) B. (x2 – y)(a + c)
C. (x2 + y)(a2 – 2c) D. (x2 + y)(a + c)

Click here to see answer by mananth(16946) About Me 

Question 1031974: What is the slope-interception of the line below?
y-interception = (0,2)
slope = -1/4

Click here to see answer by stanbon(75887) About Me 

Question 1032349: sam and jerry have ages that are consecutive odd integers. the product of their ages is 783. which could be an equation to find jerry's age, if he is the younger man
Click here to see answer by solver91311(24713) About Me 
Question 1032349: sam and jerry have ages that are consecutive odd integers. the product of their ages is 783. which could be an equation to find jerry's age, if he is the younger man
Click here to see answer by josmiceli(19441) About Me 

Question 1032348: the vertex of the parabola represented by f(x)= x squared -4x+3 has coordinates (2, -1). find the coordinates of the vertex of the parabola defined by g(x)= f(x-2). explain how you arrived at your answer. the use of set of axis is optional.
Click here to see answer by solver91311(24713) About Me 

Question 1032393: In the coordinate plane, if the distance between the point (x, y) and the origin is 3, what is the distance between the point (2x, 2y) and the origin?
Click here to see answer by Alan3354(69443) About Me 

Question 1032444: What equation would represent the line that has a slope of -3 and goes through the point (2,5)
Click here to see answer by Alan3354(69443) About Me 

Question 1033194: Graph the system below and write it's solution.
y=1/2x-1
2x+y=-6

Click here to see answer by mananth(16946) About Me 

Question 1033981: The coordinates of O, A and B are O(0,0) , A(5,0) , B(7,8). Find
a) The gradient of AB,
b) The equation of AB,
c) The area of ▲ OAB,
The triangle OAB is reflected in the line x=0. Write down the coordinates
of the image of A and of B
PLZZ HELP

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1034504: Find the area of a triangle whose vertices are (0,0), (1,2), (-1,2)
Click here to see answer by Alan3354(69443) About Me 

Question 1034762: Does it matter if you choose different sets of points on a graph to find a slope?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1034871: graph the function f(x)= 2- square root x+6 & state the range of this function
Click here to see answer by harpazo(655) About Me 

Question 1034868: explain why x=4 is not in the domain of the function f(x)= square root x-5?
Click here to see answer by harpazo(655) About Me