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Linear-systems/388489: Which is the graph of the system: y<=0, x<=0, x>=y, x+y>=-4
1 solutions

Answer 274810 by Fombitz(13828) About Me  on 2010-12-22 12:56:56 (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Plot Any Inequality
Graphing function y%3C=0:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y%3C=0+%29

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.
Solved by pluggable solver: Plot Any Inequality
Graphing function x%3C=0:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%3C=0+%29


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.
Solved by pluggable solver: Plot Any Inequality
Graphing function x%3E=y:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%3E=y+%29

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.
Solved by pluggable solver: Plot Any Inequality
Graphing function x%2By%3E=-4:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%2By%3E=-4+%29

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.
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Putting all of the constraints together shows the triangular area marked by the circles below.



real-numbers/388472: a^2=81

1 solutions

Answer 274788 by Fombitz(13828) About Me  on 2010-12-22 10:47:30 (Show Source):


Expressions-with-variables/388467: what is the value expression (-2)3(3)2
1 solutions

Answer 274787 by Fombitz(13828) About Me  on 2010-12-22 10:46:47 (Show Source):
You can put this solution on YOUR website!
I think you mean, %28-2%29%5E3%283%29%5E2=%28-8%29%289%29=-72
or else it's -2%283%29%283%29%282%29=-36


Radicals/388446: RATIONALIZE THE DENOMINATORS. ASSUME ALL EXPRESSIONS UNDER THE RADICALS ARE POSITIVE NUMBERS.

4-X(SQRT)/ 2 + x (SQRT).
1 solutions

Answer 274786 by Fombitz(13828) About Me  on 2010-12-22 10:45:31 (Show Source):
You can put this solution on YOUR website!
I'm assuming you mean,
%284-sqrt%28x%29%29%2F%282%2Bsqrt%28x%29%29
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.

.
.

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.
%284-sqrt%28x%29%29%2F%282%2Bsqrt%28x%29%29=%288-6%2Asqrt%28x%29%2Bx%29%2F%284%2Bx%29


Linear-equations/388468: Can you please solve this equation with a show of work? I need to use this as an example for others. Im my textbook they will show a break down but then the exercises to work on are different.
4x+5=3(x-1)
1 solutions

Answer 274784 by Fombitz(13828) About Me  on 2010-12-22 10:36:58 (Show Source):
You can put this solution on YOUR website!
4x%2B5=3%28x-1%29<-- Distribute the 3 on the right hand side.
4x%2B5=3x-3
4x-3x%2B5=3x-3x-3<-- Subtract 3x from both sides
x%2B5=0-3
x%2B5=-3
x%2B5-5=-3-5<-- Subtract 5 from both sides
x%2B0=-8
highlight%28x=-8%29


Exponents/388469: If x=3,then 5x2is



1 solutions

Answer 274782 by Fombitz(13828) About Me  on 2010-12-22 10:34:36 (Show Source):


Parallelograms/388240: If A (1,-2),B(3,6)And C(5,10) Are The Three Vertices Of Aparallelogram, Find Its 4th Vertex D.Also,Find The Angle Between The Diagonals AC And BD.



1 solutions

Answer 274777 by Fombitz(13828) About Me  on 2010-12-22 10:01:14 (Show Source):
You can put this solution on YOUR website!

To go from C to D, you move over 2 and up 4.
To keep it a parallelogram, move that same distance from A to D.
D:(1,-2)+(2,4)=(3,2)

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.
.

From the diagram,
tan%28XAC%29=%2810-%28-2%29%29%2F%285-1%29=12%2F4=3
XAC=63.4degrees
Also,
XBD=90degrees, since x%5BB%5D=x%5BD%5D
So then the angle between the diagonals, theta, is,
theta=90-71.6
highlight%28theta=18.4%29degrees


Triangles/388171: Find the measures of the sides of triangle ABC and clissify each triangle by its sides. A(5,4),B(3,-1),C(7,-1)
1 solutions

Answer 274774 by Fombitz(13828) About Me  on 2010-12-22 09:45:21 (Show Source):
You can put this solution on YOUR website!

.
.
.
Use the distance formula to find the length of the sides,
D%5E2=%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2
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.
.
AB%5E2=%283-5%29%5E2%2B%28-1-4%29%5E2
AC%5E2=%287-5%29%5E2%2B%28-1-4%29%5E2
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.
BC%5E2=%287-3%29%5E2%2B%28-1-%28-1%29%29%5E2=4%5E2
highlight%28BC=4%29


Vectors/388402: Not really sure how to approach this

Find the volume of the figure bounded by the following planes.

x + z = -3
10x - 3z = 22
4x - 9z = -38
y = -4
y = 10


If you can either help with how to approach this or an actual solution, that would be great ^^

1 solutions

Answer 274773 by Fombitz(13828) About Me  on 2010-12-22 09:39:43 (Show Source):
You can put this solution on YOUR website!
Graph the x-z plane.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C0%2C-3-x%2C%2810x-22%29%2F3%2C%284x%2B38%29%2F9%29
Find the area of the triangle bounded by the lines.
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Once you have the area, the volume is the area multiplied by the y depth which is equal to 10-%28-4%29=14
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The shape is a triangular prism.
highlight%28V=14A%29
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Radicals/388243: Rationalize the denominators. assuming all expressions under rationals represents positive numbers.
√3:(y^4)/√6:(x^4)
1 solutions

Answer 274772 by Fombitz(13828) About Me  on 2010-12-22 09:34:56 (Show Source):
You can put this solution on YOUR website!
What does the ":" stand for? Division (like a ratio)? Multiplication?


Circles/388452: Three circles of radii 2, 4, and 6 are tangent to each other externally. Find
the area of the triangle formed by connecting their centers.
1 solutions

Answer 274771 by Fombitz(13828) About Me  on 2010-12-22 09:31:53 (Show Source):
You can put this solution on YOUR website!
The lengths of the sides of the triangle are the sums of the respective radii.
a=2%2B4=6
b=2%2B6=8
c=4%2B6=10
Use Heron's formula,
A=sqrt%28s%28s-a%29%28s-b%29%28s-c%29%29
where
s=%28a%2Bb%2Bc%29%2F2
s=%286%2B8%2B10%29%2F2
s=12
Then,
A=sqrt%2812%2812-6%29%2812-8%29%2812-10%29%29
A=sqrt%2812%286%29%284%29%282%29%29
A=sqrt%28144%2A4%29
A=12%2A2
highlight%28A=24%29


Circles/388355: Line NO is tangent to the circle at N and the measure of arc LM is 56°.
What is the measure of MNO?
1 solutions

Answer 274770 by Fombitz(13828) About Me  on 2010-12-22 09:28:28 (Show Source):
You can put this solution on YOUR website!
What is L?
What is M?
I'm assuming one is the center of the circle, the other is a point on the circle.
What is the relationship between N and the point on the circle?
Do you have a diagram?


logarithm/388397: 4. You have $760,000 in your bank account. The interest rate in your account is 5%. Solve for the following:

1 solutions

Answer 274768 by Fombitz(13828) About Me  on 2010-12-22 09:24:48 (Show Source):
You can put this solution on YOUR website!
Nothing followed.
Please repost.


Linear_Equations_And_Systems_Word_Problems/388406: Solve the systems of equations
x-y+2z=6
x-3y+z=8
2x-y-z=5
1 solutions

Answer 274767 by Fombitz(13828) About Me  on 2010-12-22 09:24:06 (Show Source):
You can put this solution on YOUR website!
[A]=%28matrix%283%2C3%2C1%2C-1%2C2%2C1%2C-3%2C1%2C2%2C-1%2C-1%29%29
[x]=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29
[b]=%28matrix%283%2C1%2C6%2C8%2C5%29%29
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[A][x]=[b]
[x]=[A]inv[b]
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det[A]=11
Using matrix inversion,
[A]inv=%281%2F11%29%2A%28matrix%283%2C3%2C4%2C-3%2C5%2C3%2C-5%2C1%2C5%2C-1%2C-2%29%29
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[x]=%281%2F11%29%2A%28matrix%283%2C1%2C25%2C-17%2C12%29%29


Geometry_Word_Problems/388447: circle has a diameter of 3.6 kilometers. Calculate the are of the circle, to the nearest hundredth
1 solutions

Answer 274766 by Fombitz(13828) About Me  on 2010-12-22 09:18:56 (Show Source):
You can put this solution on YOUR website!
A=pi%2AD%5E2%2F4=%28pi%2F4%29%283.6%29%5E2
Work that out to the desired accuracy.
The units would be km%5E2.


absolute-value/388413: algebra
A= {3,4,5,6} B = {1,2,3,4,5,6,7,8,9,10}
A={1,2,3,4,5,6} and b= 3,4,5,6,7,8,9,10}
1 solutions

Answer 274765 by Fombitz(13828) About Me  on 2010-12-22 09:17:55 (Show Source):
You can put this solution on YOUR website!
What's your question??


Trigonometry-basics/388309: Solve for triangle ABC is 1 solutions

Answer 274763 by Fombitz(13828) About Me  on 2010-12-22 09:11:39 (Show Source):
You can put this solution on YOUR website!
Use the sine rule,
c%2Fsin%28C%29=a%2Fsin%28A%29
12.8%2Fsin%2824.6%29=30.7%2Fsin%28A%29
sin%28A%29=0.9984
highlight%28A=86.78%29
Then
A%2BB%2BC=180
86.78%2BB%2B24.6=180
highlight%28B=68.62%29degrees
Then using the law of sines again,
c%2Fsin%28C%29=b%2Fsin%28B%29
12.8%2Fsin%2824.6%29=b%2Fsin%2868.62%29
highlight%28b=28.6%29


logarithm/388396: 3. Simplify the following expressions:
a. X2* X4
b. Z8 / Z12
c. log4Y + log4Z
d. log3Y - log3Z

1 solutions

Answer 274760 by Fombitz(13828) About Me  on 2010-12-22 09:01:47 (Show Source):
You can put this solution on YOUR website!
a) x%5E2%2Ax%5E4=x%5E%282%2B4%29=x%5E6
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b) +z%5E8+%2F+z%5E12=z%5E%288-12%29=z%5E%28-4%29=1%2Fz%5E4
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c)log%28%284y%29%29%2Blog%28%284z%29%29=log%28%2816yz%29%29
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d)log%28%283y%29%29-log%28%283z%29%29=log%28%28%283y%29%2F%283z%29%29%29
log%28%283y%29%29-log%28%283z%29%29=log%28%28y%2Fz%29%29
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Graphs/388431: Referring to the figure, write an equation of the line shown in
the graph. Figure located at this link http://ppstest2.com/images2/AL5002.jpg

1 solutions

Answer 274758 by Fombitz(13828) About Me  on 2010-12-22 08:55:15 (Show Source):
You can put this solution on YOUR website!
First solve for the slope,
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%285-0%29%2F%280-%28-1%29%29
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Once you have the slope, use the slope-intercept form of a line.
y=mx%2Bb
Use either point to solve for b.
I'll use (0,-5).
-5=m%2A0%2Bb
b=-5
In this case, I didn't even need to know m to solve.
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highlight%28y=mx-5%29
Solve for m and that's the equation of the line.


Graphs/388440: Referring to the figure, write the equation of the horizontal line
through the point (0,3). Figure located at this cut & paste link http://ppstest2.com/images2/AL5005.jpg

1 solutions

Answer 274757 by Fombitz(13828) About Me  on 2010-12-22 08:52:17 (Show Source):
You can put this solution on YOUR website!
Horizontal lines have the form,
y=0%2Ax%2Bb
In this case, when x=0, y=3
3=0%2A0%2Bb
b=3
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highlight%28y=3%29


Geometry_Word_Problems/388448: The base of a triangle is 5cm less then its height. Find the height and base if the triangle is 33cm2.
I tried doing it but i always end up with -4h = 66. I don't know what i'm doing wrong!
Thanks
1 solutions

Answer 274755 by Fombitz(13828) About Me  on 2010-12-22 08:50:44 (Show Source):
You can put this solution on YOUR website!
A=%281%2F2%29%28bh%29
33=%281%2F2%29%28h-5%29h
h%5E2-5h=66
h%5E2-5h-66=0
%28h-11%29%28h%2B6%29=0
Two solutions but only the positive one is considered here,
h-11=0
highlight%28h=11%29cm
Then,
b=11-5
highlight%28b=6%29cm


Polynomials-and-rational-expressions/388455: Can someone help me find GCF for 8x and 28x^3
1 solutions

Answer 274754 by Fombitz(13828) About Me  on 2010-12-22 08:48:05 (Show Source):


Quadratic-relations-and-conic-sections/388449: Graph the parabola
y=(x+1)^2-1
I found the vertex to be (-1,-1)
axis is -1 and a=1
But I don't remember how to find the points.
1 solutions

Answer 274753 by Fombitz(13828) About Me  on 2010-12-22 08:47:21 (Show Source):
You can put this solution on YOUR website!
Which points?
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Intercepts?
Set x=0 solve for y.
Set y=0 solve for x.
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Points on the curve?
Choose points equidistant from x=-1, solve for y.
Example, if x=0=-2, y=0


Linear_Algebra/388462: x+y+z=23
xyz=396
x=?
y=?
z=?
1 solutions

Answer 274751 by Fombitz(13828) About Me  on 2010-12-22 08:44:26 (Show Source):
You can put this solution on YOUR website!
You only have two equations and three unknowns.
You cannot solve for x, y, and z.
You need a third equation to do that.


Trigonometry-basics/388306: Find 1 solutions

Answer 274750 by Fombitz(13828) About Me  on 2010-12-22 08:43:31 (Show Source):
You can put this solution on YOUR website!
Use the cosine rule,
b%5E2=a%5E2%2Bc%5E2-2ac%2Acos%28B%29
cos%28B%29=%28b%5E2-a%5E2-c%5E2%29%2F%282ac%29
cos%28B%29=%2816%5E2-10%5E2-12%5E2%29%2F%282%2810%29%2812%29%29
cos%28B%29=%2812%29%2F%282%2810%29%2812%29%29
cos%28B%29=1%2F20
highlight%28B=87.1%29degrees


Percentage-and-ratio-word-problems/388296: A spinner is divided into eight congruent sections labeled S, P, I, N, 2, W, I, and N. A player wins by spinning a P or an N. In past fundraisers, about 400 people played this game each year. About how many of these 400 would be expected to win?
1 solutions

Answer 274601 by Fombitz(13828) About Me  on 2010-12-21 15:26:16 (Show Source):


Polynomials-and-rational-expressions/388297: (3c^d-d^3+1)8cd^2
1 solutions

Answer 274600 by Fombitz(13828) About Me  on 2010-12-21 15:24:22 (Show Source):


Coordinate-system/388299: if you were plotting the point (0,16) on a coordinate graph, how would you plot it?
1 solutions

Answer 274599 by Fombitz(13828) About Me  on 2010-12-21 15:23:02 (Show Source):


Angles/388285: what is the supplement of an angle that measures 87 degrees

1 solutions

Answer 274590 by Fombitz(13828) About Me  on 2010-12-21 14:48:50 (Show Source):


testmodule/388286: Find the minimum of function f(x) = (x+1)^3 - (x-1)^3

1 solutions

Answer 274589 by Fombitz(13828) About Me  on 2010-12-21 14:48:03 (Show Source):
You can put this solution on YOUR website!
Simplify,
f%28x%29=x%5E3%2B3x%5E2%2B3x%2B1-x%5E3%2B3x%5E2-3x%2B1=6x%5E2%2B2
In vertex form, that would be,
f%28x%29=6%28x-0%29%5E2%2B2
with a minimum value of,
highlight%28y%5Bmin%5D=2%29


Parallelograms/387821: how do you draw a non rectangular parallelogram?
1 solutions

Answer 274583 by Fombitz(13828) About Me  on 2010-12-21 14:24:31 (Show Source):
You can put this solution on YOUR website!
Draw two intersecting lines.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C0%2C2x%2B5%2C-x%2F4%2B6%29
.
.
.
Then draw parallel lines to each of the intersecting lines.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C0%2C2x%2B5%2C-x%2F4%2B6%2C2x%2C-x%2F4%2B2%29