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Coordinate-system/687960: If the points (-4, 1) and (2, 1) are the endpoints of a diameter of a circle, where is the center?

1 solutions

Answer 425433 by Alan3354(30993) About Me  on 2012-12-01 16:13:06 (Show Source):
You can put this solution on YOUR website!
If the points (-4, 1) and (2, 1) are the endpoints of a diameter of a circle, where is the center?
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It's the midpoint of the line.
Find the average of x & y separately.
For x: (-4 + 2)/2 = -1
y = 1
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--> center at (-1,1)


Geometry_Word_Problems/687955: A rectangle is three times longer than it is wide and the diagonal of it is 50 cm. How long is each side.
1 solutions

Answer 425429 by Alan3354(30993) About Me  on 2012-12-01 15:14:36 (Show Source):
You can put this solution on YOUR website!
A rectangle is three times longer than it is wide and the diagonal of it is 50 cm. How long is each side.
-----------------
L = 4W
d%5E2+=+L%5E2+%2B+W%5E2+=+%284W%29%5E2+%2B+W%5E2+=+50
17W%5E2+=+50
W%5E2+=+50%2F17%29%29%29%0D%0A%7B%7B%7BW+=+sqrt%2850%2F17%29+=+sqrt%28850%29%2F17
W+=+5sqrt%2834%29%2F17
L+=+25sqrt%2834%29%2F17


Rational-functions/687918: Please help...
For the function f(x)=3x-7 calculate: f(-4)
Thank you
1 solutions

Answer 425398 by Alan3354(30993) About Me  on 2012-12-01 12:34:06 (Show Source):
You can put this solution on YOUR website!
For the function f(x)=3x-7 calculate: f(-4)
--------------
f(x) = 3x - 7
Sub -4 for x
f(-4) = 3*-4 -7 = -19


Travel_Word_Problems/687903: lisa rides a bicycle 30 miles every 5 hours.at this rate how many hours did lisa ride if she rode 150 miles

1 solutions

Answer 425390 by Alan3354(30993) About Me  on 2012-12-01 11:05:00 (Show Source):
You can put this solution on YOUR website!
lisa rides a bicycle 30 miles every 5 hours.at this rate how many hours did lisa ride if she rode 150 miles
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It's 5 times the distance --> 5 times the time.


Equations/687893: -x-4=10
what does x equal and how do you solve it?
1 solutions

Answer 425389 by Alan3354(30993) About Me  on 2012-12-01 11:03:55 (Show Source):
You can put this solution on YOUR website!
-x-4=10
what does x equal and how do you solve it?
----------------
Add x to both sides
-4 = 10 + x
Subtract 10 from both sides
-14 = x
x = -14


Travel_Word_Problems/687882: victorias family drove 672 miles in 14 hours. What was the average speed for the trip.

1 solutions

Answer 425382 by Alan3354(30993) About Me  on 2012-12-01 10:21:04 (Show Source):
You can put this solution on YOUR website!
victorias family drove 672 miles in 14 hours. What was the average speed for the trip.
=============
d = r*t
r = d/t


test/687872: Find the area of quadrilateral formed with vertices (3,-5),(5,-1),(2,1),(-3,-2)
1 solutions

Answer 425379 by Alan3354(30993) About Me  on 2012-12-01 09:39:19 (Show Source):
You can put this solution on YOUR website!
Find the area of quadrilateral formed with vertices (3,-5),(5,-1),(2,1),(-3,-2)
-------------
Label the points:
A(3,-5), B(5,-1), C(2,1), D(-3,-2)
-----------
.A...B...C...D...A
+3 +5 +2 -3 +3 x values
-5 -1 +1 -2 -5 y values
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Add the diagonal products starting upper left
3*-1 + 5*1 + 2*-2 + -5*-5 = -3 + 5 - 4 + 25 = 13
----
Add the diagonal products starting lower left
-5*5 + -1*2 + 1*-3 + -2*3 = -25 - 2 - 3 - 6 = -36
----
Area = 1/2 the difference = 49/2 sq units
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This method works for ALL polygons, any # of sides.
The points have to be entered in order around the polygon, tho.


Exponents/687867: Use the rules of exponents to simplify the expression. Write the answer with positive exponents. Assume that all variables represent positive real numbers.
1/7 6/7
x . x
1 solutions

Answer 425372 by Alan3354(30993) About Me  on 2012-12-01 09:03:02 (Show Source):
You can put this solution on YOUR website!
positive exponents. Assume that all variables represent positive real numbers.
1/7 6/7
==============
x%5E%281%2F7%29%2Ax%5E%286%2F7%29+=+x%5E%281%2F7%2B6%2F7%29+=+x%5E1
x^(1/7)*x^(6/7) = x^(1/7+6/7) = x^1
= x


Evaluation_Word_Problems/687859: You have 80 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?

1 solutions

Answer 425370 by Alan3354(30993) About Me  on 2012-12-01 09:00:50 (Show Source):
You can put this solution on YOUR website!
You have 80 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
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Max area is a square, 20 by 20
Area = 400 sq ft.
-----------------
Do you need proof?


Linear-equations/687860: Please help? I am trying to understand this but have no clue what I am doing.
Determine the slope of each line
5x+3y=3
15x+9y=0
1 solutions

Answer 425363 by Alan3354(30993) About Me  on 2012-12-01 08:20:57 (Show Source):


Polynomials-and-rational-expressions/687737: I need help with finding all the zeroes of an equation.
x^4-6x^2-7x-6=0

1 solutions

Answer 425304 by Alan3354(30993) About Me  on 2012-11-30 20:48:30 (Show Source):
You can put this solution on YOUR website!
I need help with finding all the zeroes of an equation.
x^4-6x^2-7x-6=0
---------------
Try the factors of 6, plus and minus.


Linear_Algebra/687665: x+4y=16 Need to figure out to put plots on graph
1 solutions

Answer 425277 by Alan3354(30993) About Me  on 2012-11-30 18:26:02 (Show Source):
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x+4y=16 Need to figure out to put plots on graph
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x = -4y + 16
Pick 2 values for y, find x.
Plot the 2 points.
Draw a line thru them.


Average/687682: If you have a 100% in a class, and u get a 60% on a test, what will be my final grade.
1 solutions

Answer 425275 by Alan3354(30993) About Me  on 2012-11-30 18:24:42 (Show Source):
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If you have a 100% in a class, and u get a 60% on a test, what will be my final grade.
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Not enough info.
Is the 60% test 10% of the grade? 50%? what?


Problems-with-consecutive-odd-even-integers/687602: three good friends are in the same algebra class their scores on a recent test are three consecutive even integers whose sum is 216.find each score
1 solutions

Answer 425274 by Alan3354(30993) About Me  on 2012-11-30 18:23:24 (Show Source):
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three good friends are in the same algebra class their scores on a recent test are three consecutive even integers whose sum is 216.find each score
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216/3 = 72, the middle score


Rectangles/687654: An american flag has a width of 15 ft and length of 5 ft less than the width.determine
amount of square feet of fabric required to make an american flag
1 solutions

Answer 425272 by Alan3354(30993) About Me  on 2012-11-30 18:19:24 (Show Source):
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An american flag has a width of 15 ft and length of 5 ft less than the width.determine
amount of square feet of fabric required to make an american flag
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Hint: 5 ft less than 15 is 10 feet.


Sequences-and-series/687674: Solve the equation 6^x-2= 200 algebraically and check with the graph of
y = 6^x-2- 200 . (Give both an exact answer and an
approximation to the nearest 0.0001.)

1 solutions

Answer 425271 by Alan3354(30993) About Me  on 2012-11-30 18:18:25 (Show Source):
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Solve the equation 6^x-2= 200 algebraically and check with the graph of
y = 6^x-2- 200 . (Give both an exact answer and an
approximation to the nearest 0.0001.)
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What's the exponent of 6?
Is it x? or x-2?


Graphs/687678: y=5x Square 2

1 solutions

Answer 425270 by Alan3354(30993) About Me  on 2012-11-30 18:14:26 (Show Source):
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y=5x Square 2
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Not sure what that means.
You're looking for free help.
Take the time to enter your problem in a way that makes sense.
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Then, say what it is you want to do.


Graphs/687681: y=2/3x squared
1 solutions

Answer 425269 by Alan3354(30993) About Me  on 2012-11-30 18:12:38 (Show Source):
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y=2/3x squared
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And?
What about it?


Equations/687680: Please factor the following:
6x-3y=27
3x-y=13
1 solutions

Answer 425268 by Alan3354(30993) About Me  on 2012-11-30 18:11:59 (Show Source):
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Please factor the following:
6x-3y=27 --> 3*(2x-y = 9)
3x-y=13 Doesn't factor


Linear_Algebra/687679: Find delta x and delta y for the points (-4,6) and (3,-7).
1 solutions

Answer 425266 by Alan3354(30993) About Me  on 2012-11-30 18:10:49 (Show Source):
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Find delta x and delta y for the points (-4,6) and (3,-7).
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Using the points in order:
dx = 7
dy = -13


test/687604: What quadratic equation has the solution -3+2iroot2?
1 solutions

Answer 425261 by Alan3354(30993) About Me  on 2012-11-30 17:12:38 (Show Source):
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What quadratic equation has the solution -3+2iroot2?
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It will also have the conjugate as a root, -3 - i*2sqrt(2) = -3 - isqrt(8)
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%28x+-%28-3+%2B+i%2Asqrt%288%29%29%29%2A%28x+-+%28-3+%2B+i%2Asqrt%288%29%29%29+=+0
%28x+%2B+3+-+i%2Asqrt%288%29%29%2A%28x+%2B+3+%2B+i%2Asqrt%288%29%29+=+0
x%5E2+%2B+6x+%2B+17+=+0


Volume/687595: How many cubes, 1cm on each edge, would fit into a right rectangular prism 7cm by 10cm by 12cm?
1 solutions

Answer 425233 by Alan3354(30993) About Me  on 2012-11-30 15:03:54 (Show Source):
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How many cubes, 1cm on each edge, would fit into a right rectangular prism 7cm by 10cm by 12cm?
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With no lost space, it's the volume of the prism
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Vol = L*W*H


Volume/687616: The base of a rectangular prism is 5.4 centimeters long and 4.9 centimeters wide. It is 3.8 centimeters tall. What is the volume of the prism? Round your answer to the nearest tenth.
1 solutions

Answer 425232 by Alan3354(30993) About Me  on 2012-11-30 15:02:53 (Show Source):
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The base of a rectangular prism is 5.4 centimeters long and 4.9 centimeters wide. It is 3.8 centimeters tall. What is the volume of the prism? Round your answer to the nearest tenth.
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It's the product, L*W*H


Circles/687610: If the angle of a segment of circle is 25 degrees what is its radius?
1 solutions

Answer 425230 by Alan3354(30993) About Me  on 2012-11-30 14:46:52 (Show Source):
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If the angle of a segment of circle is 25 degrees what is its radius?
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It could be any radius.


test/687532: Can you show me how to factor completely this problem
125c^6 -8d^6
1 solutions

Answer 425225 by Alan3354(30993) About Me  on 2012-11-30 14:19:28 (Show Source):
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Can you show me how to factor completely this problem
125c^6 -8d^6
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It's a difference of 2 cubes
a%5E3+-+b%5E3+=+%28a-b%29%2A%28a%5E2+%2B+ab+%2B+b%5E2%29


Travel_Word_Problems/687591: a man drives 5 km in 10 minutes,what is his speed in km per hour?
1 solutions

Answer 425224 by Alan3354(30993) About Me  on 2012-11-30 14:17:17 (Show Source):
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a man drives 5 km in 10 minutes,what is his speed in km per hour?
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How far would he go in 30 minutes?
Then double that.


Probability-and-statistics/687601: A girl flips a coin six times. If she gets a head, tail, head, tail, and head combination the first five times, what is the probability that she will get a tail the sixth time she flips the coin?
A. 0
B. (1/2)(1/2)(1/2)(1/2)(1/2)(1/2)
C. 1/2
D. 1

1 solutions

Answer 425221 by Alan3354(30993) About Me  on 2012-11-30 14:04:03 (Show Source):
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A girl flips a coin six times. If she gets a head, tail, head, tail, and head combination the first five times, what is the probability that she will get a tail the sixth time she flips the coin?
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1/2
The history has no effect.


test/687608: factor the trinomial c^2 -14c + 40
1 solutions

Answer 425220 by Alan3354(30993) About Me  on 2012-11-30 14:02:38 (Show Source):
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factor the trinomial c^2 -14c + 40
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Find a pair of factors of 40 that add to 14, both negative numbers.


Geometry_Word_Problems/687582: A piece of tile is 4 1/2 inches long and 3 1/4 inches wide. What is the area of the tile?

1 solutions

Answer 425219 by Alan3354(30993) About Me  on 2012-11-30 13:29:55 (Show Source):
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A piece of tile is 4 1/2 inches long and 3 1/4 inches wide. What is the area of the tile?
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Area = L*W


Expressions-with-variables/687553: What is
2t+38=5(t+1)
1 solutions

Answer 425201 by Alan3354(30993) About Me  on 2012-11-30 11:35:51 (Show Source):
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What is
2t+38=5(t+1)
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It's an equation in t.


logarithm/687548: ln5+lnx^4=405
1 solutions

Answer 425195 by Alan3354(30993) About Me  on 2012-11-30 11:28:00 (Show Source):
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ln5+lnx^4=405
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ln(5x^4) = 405
5x%5E4+=+e%5E405
x%5E4+=+e%5E405%2F5
x+=+root%284%2C%28e%5E405%2F5%29%29
x=~ 6.274423E43