Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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Question 1025577: what equation passes through (10,10) & is perpendicular to the line described by y=-1/2x-3?
Click here to see answer by mananth(16946)

Question 1025577: what equation passes through (10,10) & is perpendicular to the line described by y=-1/2x-3?
Click here to see answer by KMST(5328)

Question 1025651: if the lines x-py+ap^2=0
Ad x-qy+aq^2 are perpendicular
Show that pq=-1
Click here to see answer by josgarithmetic(39617)

Question 1025811: two lines, L1 and L2, intersect at (4,7) and are perpendicular to each other. the y-intercept of L1 is 9
what is the gradient of L1???

Click here to see answer by josgarithmetic(39617)

Question 1026286: Sketch the graph of each function:
y=x^2+8x+15
I need the vertex and y and X intercepts, thank you.
Click here to see answer by stanbon(75887)

Question 1026315: let f(x)=sin(x)(e^-x), 0
Click here to see answer by ikleyn(52779)

Question 1026536: Use the point on the line and the slope m of the line to find three additional points through which the line passes.
(3,-6), m = 0

Click here to see answer by mananth(16946)

Question 1026562: Find the equation of the ellipse with foci (-4,2) and (4,2). The length of the major axis is ten units
Click here to see answer by FrankM(1040)

Question 1026330: Please help!
Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the function for this region.
1. x ≤ 2
3x � -y ≥ - �2
y ≥ x � - 2
f(x, y) = 2x - � 3y
Click here to see answer by KMST(5328)

Question 1026744: Given the line y = 3x � 2 and the point (2, -4), find the equations of the lines parallel and perpendicular to the line above.
Click here to see answer by josgarithmetic(39617)

Question 1026231: Graph the following system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the function for this region.
1. x ≤ 2
3x � -y ≥ - �2
y ≥ x � - 2
f(x, y) = 2x - � 3y
2. g ≤ - �3h + 4
g ≥ �3h - � 6
g ≥ (⅓)h- � 6
f(g, h) = 2g � - 3h
Click here to see answer by KMST(5328)

Question 1026766: For the Set D=4, determine N(D)
Click here to see answer by richard1234(7193)

Question 1026836: Create a table of values for the following equation AND sketch the graph:
y=5/3x-3
I need four X values and four Y values for the table, and if you can please sketch the graph! Thanks so much!!! Will leave positive feedback :)
Click here to see answer by josgarithmetic(39617)

Question 1026838: Graph the system below and write its solution
3x+y=-6
y=1/2x+1
Click here to see answer by mananth(16946)

Question 1026912: Find the point(s) on the graph of x^2+y^2=45 at which the slope of the tangent is -1/2.
Click here to see answer by Alan3354(69443)

Question 1026974: This is a word problem to find the slope of a roof.
The question is: A contractor goes to a lumbar yard to purchase some trusses (triangular frames) for the roof of a house. Many sizes are available, so the contractor takes some measurements to ensure the roof will have the desired slope. In one case, the height of the truss (base to ridge) was 4ft, with a width of 24ft (eave to eave).
a) Find the slope of the roof if these trusses are used.
b)What does this slope indicate?
Click here to see answer by Cromlix(4381)

Question 1026883: Find:
a) (h,k) and radius r
b) Graph the circle
c) Find intercepts, if any
(x^2)+(y^2)+x+y-(1/2)=0 or (x^2)+x+(y^2)+y=(1/2)

Click here to see answer by Alan3354(69443)

Question 1027068: State this inequality with words. Then graph the solution set.
7 -
Click here to see answer by richard1234(7193)

Question 1027147: Graph the following equation using the intercept method. If a line goes through the origin, select an additional point. Plot a third point as a check.
y+3x=0
I need to graph this line and find the x intercept, y intercept, and an additional point as a check. I would appreciate it SO very much if someone could help me! Thank you!!
Click here to see answer by stanbon(75887)

Question 1027162: Question: Create a table consisting of 4 values for the equation.
y=5/3x-3
I know you pick four numbers for your X value and put them into the equation to get your Y values, I just need a little help on this problem! To whoever takes the time to answer this question, thank you so much!!
Click here to see answer by josgarithmetic(39617)

Question 1027167: I need to figure out if any of these points form a right triangle. They are (0,0) (-5,2) (2,-5) So far, I have drawn my triangle on a graph and named (0,0) A; (-5,2) B and (2,-5) C. I found the distance from AB is 2/-5, the distance from AC is -5/2, and the distance from BC is -1. How do I know if any of these points form a right triangle or not? Thanks so much for taking your time to help!!
Click here to see answer by josgarithmetic(39617)

Question 1027176: Hi, I'm having trouble solving and figuring what to do in this problem:
Graph f(x)= x^3 + 5x^2 + 2x - 8
Identify the x-intercepts and the points where the local maximums and local minimums occur.

Thank you.
Click here to see answer by richard1234(7193)

Question 1027175: 3 points of a triangle are given. Use the points to draw the triangle, then use the slope formula to determine if any of the triangles are right triangles.
(0,0) (-5,2) (2,-5)
*I have done this problem over 10 times and can't figure out if it's a right triangle or not, I have to answer it correctly by tomorrow for class so if someone can please tell me if it forms a right triangle or not I'd highly appreciate it!!!
Click here to see answer by richard1234(7193)

Question 1027394: Zmax=8x1+16x2
subject to
x1+x2<200
3x1+6x2<900
x2=125
x1 x2>0
Click here to see answer by Fombitz(32388)

Question 1027415: Fx=2x+4 and 4-2x
Click here to see answer by fractalier(6550)

Question 1027496: graph and label the given system of equations on the coordinate grid shown below: y=1/2x+2 y=x-1
Click here to see answer by Boreal(15235)

Question 1027639: ABCD is a quadrilateral with A(1,1) B(9,25) C(15,23) D (0,-22). Find the exact area of ABCD.
How to find area of quadrilateral with uneven sides? Thanks
Click here to see answer by mananth(16946)

Question 1027638: Complete ordered pairs then graph the equation
4x-5y=20
Click here to see answer by mananth(16946)

Question 1027753: Please help me and show all work. Thanks

The graph of y=f(x)is given. Draw a graph for each of the following:
a. y=f(x)-2
b. y=f(x-2)
c. y= -f(x)
Click here to see answer by solver91311(24713)

Question 1027754: Please help me with these problem did any of this before.
Give an example of each of the following:
a. A function with vertical asymptotes at x=-3 and x=1, and a horizontal asymptote at y=2.

b. A word problem whose solution is 12!/9!3!

c. The equation of an ellipse with vertices at (0,0) and (-8,0).

d. A logarithmic expression equivalent to 5.
Click here to see answer by solver91311(24713)

Question 1028045: 2x + y + 2 = 0
y = -2x - 2
y = -2x -2
slope would be -2/+1 + -2
book says slope = +2/-1 + 2
I don't understand why rise/run is +2/-1 instead of -2/+1 please explain???

Click here to see answer by fractalier(6550)

Question 1028034: The length of a rectangle is 2 feet longer than the width. The area of the rectangle is 8 square feet.
Draw the graph of the function A(w) that represents this problem.
Determine the maxima or minima.

Click here to see answer by Fombitz(32388)

Question 1028089: Find one point that lies in the solution set of the following system of inequalities:
Y < 1/2X + 6
_
Y > -3x - 1

Click here to see answer by fractalier(6550)

Question 1028105: First, Graph: f(x) =x^2+2/x^2+x-2
Then:
Identify Vertical Asymptotes:
Algebraic Verification:
Identify Horizontal Asymptotes:
Algebraic Verification:
Identify Oblique Asymptote:
Algebraic verification:
Click here to see answer by josgarithmetic(39617)

Question 1028190: Find factor of X^2+8x+24

Click here to see answer by josgarithmetic(39617)

Question 1028297: I don't understand these types of problems? Please help!
Graph each system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the given function.
1. 5 ≥ y ≥ -�3
4x + y ≤ 5
-�2x + y ≤ 5
f(x, y) = 4x -� 3y

2. x ≥ �-10
1 ≥ y ≥ �-6
3x + 4y ≤ -�8
2y ≥ x �- 10
f(x, y) = 2x + y
Click here to see answer by Alan3354(69443)

Question 1028302: PLEASE HELP!
1. The graph of f(x) has x-intercepts at x=-2, x=9, and x=-5. The graph of f(x) resembles the graph of what function near the point x=9?
f(x)=(x+2)(x-9)^9(x+5)^3
y=x
y=x^3
y=x^10
y=x^9
y=x^4
None above
Click here to see answer by jim_thompson5910(35256)

Question 1028350: How do I graph this?
Slope -4 and passes through the point (-3, 8)
Click here to see answer by josgarithmetic(39617)

Question 1028506: trying to write a rule for the function represented by each table
x 1 y 1
x 2 y (-3)
x 3 y (-7)
x 4 y (-11)
I have solved 9 other problems but not able to get this one
Click here to see answer by richard1234(7193)

Question 1028804: Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.
1. 10x = -�25 �- x2
Click here to see answer by FrankM(1040)

Question 1028827: Solve the equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located:
x^2 + 5x �- 2 = 0
Click here to see answer by josmiceli(19441)

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, 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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, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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