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absolute-value/338148: Please assist me in trying to solve each system by the addition method.
3x + 2y = 3
4x 3y = -13
Thank you!
1 solutions

Answer 242393 by solver91311(16877) About Me  on 2010-09-02 11:07:12 (Show Source):
You can put this solution on YOUR website!


You left a sign out of your second equation. Is it:



or




John

My calculator said it, I believe it, that settles it



Geometry_Word_Problems/338020: Farmer Tariq's rectangular field is 40 meters long. If the area of the field is 1,000 square meters, how wide, in meters, is the field?
1 solutions

Answer 242338 by solver91311(16877) About Me  on 2010-09-01 22:01:24 (Show Source):
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Divide 1000 by 40

John

My calculator said it, I believe it, that settles it



Travel_Word_Problems/338016: a car accelerates uniformly from rest to a speed of 23.3 km/h in 8.4s. what is the distance it travels during this time?
1 solutions

Answer 242336 by solver91311(16877) About Me  on 2010-09-01 21:59:45 (Show Source):
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Instantaneous velocity as a function of time is



Here, initial velocity, , sec, and m/sec



Solve for

Then, distance traveled is given by:



, , , and is what you calculated above.


John

My calculator said it, I believe it, that settles it



Complex_Numbers/338019: x-5
___ +1=b solve for x
a
1 solutions

Answer 242323 by solver91311(16877) About Me  on 2010-09-01 21:48:31 (Show Source):
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Multiply both sides by .

Add to both sides.

Add to both sides.


John

My calculator said it, I believe it, that settles it



Geometric_formulas/338018: M is the midpoint of segment LN. I'm supposed to find x and the length of each segment...I don't know how to solve this-but i already know how midpoint works. Please explain step by step!!! Thanks!
LM=(x+16)/5 MN=(x-4)/3
1 solutions

Answer 242321 by solver91311(16877) About Me  on 2010-09-01 21:46:37 (Show Source):
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If M is the midpoint, then the two line segments must be equal in measure. So set the two fractions equal to each other and solve for

John

My calculator said it, I believe it, that settles it



Angles/337997: Draw the angle sin(-pi/2) using a ray through the origin, and determine whether the sine, cosine, and tangent of this angle are positive, negative, zero, or undefined.
1 solutions

Answer 242318 by solver91311(16877) About Me  on 2010-09-01 21:44:10 (Show Source):
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is not an angle. It is a number representing the value of the function of an angle. Hence, your question makes no sense.

John

My calculator said it, I believe it, that settles it



Functions/337844: Okay i have this work sheet in honors alg 2.
You match the letters too the numbers.
But if someone cud just explain too me how too do it that would be great.
1. f(x)=1/x-1
2. f(x)=1/x^2-1
3. f(x)=Square root 3x
4. f(x)= 1/square root 2x
there is just a few. If you can help ill post more.
Thanks
1 solutions

Answer 242203 by solver91311(16877) About Me  on 2010-09-01 17:19:38 (Show Source):
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Your question makes no sense. What do you want to do with these function definitions? And, by the way, you may only ask one question per post.

John

My calculator said it, I believe it, that settles it



Linear-equations/337843: The equation of line k is 2x-5y=-3. Write the equation of the line that passes through the point (-1,4) and is parallel to line k.
1 solutions

Answer 242202 by solver91311(16877) About Me  on 2010-09-01 17:13:08 (Show Source):
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Step 1: Determine the slope of the graph of the given equation. You can proceed either of two ways. 1: Solve the equation for in terms of everything else, which is to say, put it into slope-intercept form . Then determine the slope by inspection of the coefficient on . OR 2: Divide the coefficient on by the coefficient on and then take the additive inverse of that fraction.

Step 2: Determine the slope of the desired line which is equal to the slope calculated in step 1 because:



Step 3: Use the point-slope form of an equation of a line to write your desired equation:



where are the coordinates of the given point and is the slope determined in Step 2.

Note that what you asked to be done cannot technically be done. You asked to write the equation of a line. You cannot write the equation of a line because there are an infinite number of representations of any given line. Therefore you can only write an equation of a line.

John

My calculator said it, I believe it, that settles it



Linear-systems/337813: 1. points A, B, and C are collinear and A is between B and C.
AB= 4x -3 BC =7x + 5, and AC = 5x -16
Find each value.
a. BC
b. AB
c. AC
Please e3xplain how to solve this problem
1 solutions

Answer 242198 by solver91311(16877) About Me  on 2010-09-01 17:03:55 (Show Source):
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If A, B, and C are collinear and A is between B and C, then



So:



Solve for , then substitute back into each of the expressions for BC, AB, and AC to calculate the three required measures.

John

My calculator said it, I believe it, that settles it



Radicals/337826: Z to the second power equals 85
1 solutions

Answer 242194 by solver91311(16877) About Me  on 2010-09-01 16:54:48 (Show Source):
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Since you didn't bother to actually ask a question, I won't bother to actually give you an answer. Read the instructions for posting next time -- and FOLLOW them.

John

My calculator said it, I believe it, that settles it



Numbers_Word_Problems/337816: What is the greatest number of digits possible in the product of a 2 digit number times a three digit number? What is the product?
1 solutions

Answer 242193 by solver91311(16877) About Me  on 2010-09-01 16:52:26 (Show Source):
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You can simply multiply 99 times 999 to get 98901 which has 5 digits. Since that is the product of the largest 2 digit number and the largest three digit number, you know that such a product cannot have more than 5 digits. I suspect, however, that when you asked "what is the product" you really meant what is the least such product -- that is what are the two digit and three digit numbers which product is 10000.

Factors of 10000 are 2 times 2 times 2 times 2 time 5 times 5 times 5 times 5.

So:

16 X 625 = 10000
20 X 500 = 10000
25 X 400 = 10000
40 X 250 = 10000
50 X 200 = 10000
80 X 125 = 10000

John

My calculator said it, I believe it, that settles it



expressions/337727: Please help me solve:
-x^2-10x; x=-1
1 solutions

Answer 242119 by solver91311(16877) About Me  on 2010-09-01 12:52:36 (Show Source):
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Just do the arithmetic.

John

My calculator said it, I believe it, that settles it



Graphs/337700: Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form y=mx+b. (9.-4); 4x+7y=5
1 solutions

Answer 242117 by solver91311(16877) About Me  on 2010-09-01 12:50:02 (Show Source):
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Step 1: Determine the slope of the graph of the given equation. You can proceed either of two ways. 1: Solve the equation for in terms of everything else, which is to say, put it into slope-intercept form . Then determine the slope by inspection of the coefficient on . OR 2: Divide the coefficient on by the coefficient on and then take the additive inverse of that fraction.

Step 2: Determine the negative reciprocal of the slope calculated in step 1 because:



Step 3: Use the point-slope form of an equation of a line to write your desired equation:



where are the coordinates of the given point and is the calculated slope.

Step 4: Solve the derived equation for in terms of everything else to put it into slope-intercept form .

John

My calculator said it, I believe it, that settles it



Average/337704: The arithmetic mean of three numbers is 100. If the mean of the first two numbers is 50, what is the third number?
1 solutions

Answer 242113 by solver91311(16877) About Me  on 2010-09-01 12:41:10 (Show Source):
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If the mean of two numbers is 50, then the sum of those two numbers must be 2 times 50 or 100. If the mean of three numbers is 100, then the sum of the three numbers must be 300. If the sum of the first two numbers is 100, and the sum of those two numbers and a third number is 300, what does the third number have to be?

John

My calculator said it, I believe it, that settles it



Travel_Word_Problems/337706: How long would it take for a car falling over a cliff to go from 0-30mi/h
1 solutions

Answer 242110 by solver91311(16877) About Me  on 2010-09-01 12:36:33 (Show Source):
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The instantaneous velocity of a falling object at time is given by:



where is the acceleration due to gravity and is the initial velocity, and positive values are upwards. Even though you didn't specify, I'm going to assume that your cliff is located on the surface of the planet Earth -- hence

Note that 30 miles per hour is

feet per second.




Just solve for

John

My calculator said it, I believe it, that settles it



Linear-equations/337707: Use the given equations to find the missing coordinates in the
following tables
y=x+4
x y
-2
0
2
0
-2
1 solutions

Answer 242104 by solver91311(16877) About Me  on 2010-09-01 12:21:25 (Show Source):
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Put each of the given values into the equation in place of its variable. Then do the arithmetic to calculate the value of the other variable.

John

My calculator said it, I believe it, that settles it



Linear-equations/337705: Complete each ordered pair so that it satisfies the given
equation
y  2x  5: (8, ), (1, ), ( , 1)
1 solutions

Answer 242103 by solver91311(16877) About Me  on 2010-09-01 12:20:00 (Show Source):
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So, which one is it?

John

My calculator said it, I believe it, that settles it



Numbers_Word_Problems/337695: THE SUM OF TWO POSTIVE WHOLE NUMBERS IS 96. WHAT IS THE GREATEST POSSIBLE PRODUCT OF TWO POSITIVE WHOLE NUMBERS WHOSE SUM IS 96?
1 solutions

Answer 242102 by solver91311(16877) About Me  on 2010-09-01 12:11:21 (Show Source):
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Typing in all caps is the electronic equivalent of shouting. It is therefore both rude and annoying. Inside voice boys and girls, please.

Let represent one of the numbers. Then the other number is

Then we want to maximize where

Calculus solution:

Set the first derivative of the function equal to zero and solve for the -coordinate of the extreme point. Evaluate the second derivative at the calculated value of to verify that the extreme is a maximum.







Therefore, the function has a maximum at

Algebra solution:

Note that is a quadratic polynomial in with a negative lead coefficient. That means the graph is a parabola opening downward -- and the vertex is the maximum of the function.

, , and



Same answer.

John

My calculator said it, I believe it, that settles it



Square-cubic-other-roots/337567: what is the sixth root of four hundred in simplest radical form?
1 solutions

Answer 241984 by solver91311(16877) About Me  on 2010-09-01 00:38:45 (Show Source):
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So we can say:






So we can say



But square root 400 is 20, so:



Finally:



John

My calculator said it, I believe it, that settles it



Equations/337579: an empty bucket is put under two faucets. If one faucet is turned on alone, the bucket fills in 6 minutes. If the other faucet is turned on alone, the bucket fills in 4 minutes. If bothe are turned on, how many seconds will it take to fill the bucket?
1 solutions

Answer 241983 by solver91311(16877) About Me  on 2010-09-01 00:28:47 (Show Source):
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If A can do a job in x time periods, then A can do of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do of the job in 1 time period.

So, working together, they can do



of the job in 1 time period.

Therefore, they can do the whole job in:



time periods.

John

My calculator said it, I believe it, that settles it



Inequalities/337575: Can you tell me if I am correct in the way I have solved this problem?
2(4x+2)>8
12>8 simplified divided by 2 6>4 or 3>2
I am totally clueless can anyone help me with this?
2(4x+2)>8
1/2*2(4X+2)>8 *1/2
4X+2-2>4-2
1/4*4X>2*1/4
X>1/2


1 solutions

Answer 241978 by solver91311(16877) About Me  on 2010-09-01 00:14:42 (Show Source):
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What happened to your variable?













See?

John

My calculator said it, I believe it, that settles it



Trigonometry-basics/337576: trigonometry question: given a point on the unit circle that corresponds to t, explain how to find tan t.
1 solutions

Answer 241977 by solver91311(16877) About Me  on 2010-09-01 00:09:55 (Show Source):
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Divide the coordinate by the coordinate.

John

My calculator said it, I believe it, that settles it



logarithm/337518: PH^t=Vk^t
I need to use logarithms to solve for t, however I am not sure what to do.
tlog(Ph)=tlog(Vk) or
log(p)*tlog(h)=log(v)*tlog(k)
I am not sure which one is right and where to go on from here.
1 solutions

Answer 241974 by solver91311(16877) About Me  on 2010-08-31 23:58:22 (Show Source):
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If there were parentheses like this:



Then your first attempt would have been correct. As it stands though, neither is correct.



Taking the log of both sides was absolutely the correct thing to do. Personally, I would have taken the natural log rather than the base 10 log, but it makes no difference in the final analysis. You say to-may-to, I say to-mah-to.



Next use



to write:



Then use:



to write (and here is where we start to deviate -- note the plus signs in mine as compared to your multiplication signs. Of course, multiplying by adding is really the point of logarithms, now isn't it?):



Collect the terms with on the left and the other two terms on the right:



Factor out :



Next use:



to write:



Divide both sides by :




And that, as they say, is that. And just as an "oh by the way," the following identical relationship is true:




John

My calculator said it, I believe it, that settles it



Angles/337550: two angles are supplementary. One angle measures 12 more than the other. Find the measures of the angles.
Y+X=90 DEGREES
(Y+12)=X
Y +(Y+12) =90
2Y+12=90
2Y =90-12
Y= 72/2
Y = 36 THEN PLUG IN EQUATION ABOVE 36+X=90 THEN X=90-36
THEN X = 54

1 solutions

Answer 241954 by solver91311(16877) About Me  on 2010-08-31 23:26:45 (Show Source):
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Solve for


John

My calculator said it, I believe it, that settles it



Sequences-and-series/337511: Can you help me find the following next 3 numbers:
1, 1, 2, 3, 5, ___ ____ ___ ?
1 solutions

Answer 241951 by solver91311(16877) About Me  on 2010-08-31 23:24:45 (Show Source):
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For each blank, sum the two previous terms. This is called the Fibonacci sequence.

John

My calculator said it, I believe it, that settles it



Angles/337483: If X and Y are supplementary angles, are they necessarily a linear pair? Why or why not?
I know supplementary means it = 180 degrees, but i'm not sure about linear pairs.
Thx,
FSA
1 solutions

Answer 241946 by solver91311(16877) About Me  on 2010-08-31 23:20:52 (Show Source):
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In order to be supplementary, the measures of two angles must sum to . They need not be adjacent.

In order to be a linear pair, two angles must be supplementary AND adjacent.


John

My calculator said it, I believe it, that settles it



Polynomials-and-rational-expressions/337539: 81x^2-1
1 solutions

Answer 241940 by solver91311(16877) About Me  on 2010-08-31 23:15:58 (Show Source):
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Polynomials-and-rational-expressions/337540: 16y^2-8y+1
1 solutions

Answer 241938 by solver91311(16877) About Me  on 2010-08-31 23:14:51 (Show Source):
You can put this solution on YOUR website!


Did you bother to read the instructions for posting on this site? I specifically refer to the part where it says: "Please try to ask your question clearly and fully so that it MAKES SENSE. We are not mind readers. We do not have your textbook in front of us. All we know is what you wrote." Or did you simply think that such mundane nonsense couldn't possibly apply to YOU?

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John

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Polynomials-and-rational-expressions/337543: 49x^2-25=0
49x^2-25=0
(7X+5)(7X-5) =0
7X+5=0 OR 7X-5=0
X=-5/7 ,X=5/7

1 solutions

Answer 241937 by solver91311(16877) About Me  on 2010-08-31 23:14:37 (Show Source):
You can put this solution on YOUR website!


Did you bother to read the instructions for posting on this site? I specifically refer to the part where it says: "Please try to ask your question clearly and fully so that it MAKES SENSE. We are not mind readers. We do not have your textbook in front of us. All we know is what you wrote." Or did you simply think that such mundane nonsense couldn't possibly apply to YOU?

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Please try to ask your question clearly and fully so that it MAKES SENSE. We are not mind readers. We do not have your textbook in front of us. All we know is what you wrote.

Do not use slang or strange abbreviations. Spell every word as well as you can. This improves your chances that your question will be answered.

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Example of a GOOD QUESTION: `' What is the slope of a binomial 2x+3''

John

My calculator said it, I believe it, that settles it



Triangles/337447: A triangle has a height that is 2 more than 3 times the base and an area of 60 square units. Find the base and height.
1 solutions

Answer 241852 by solver91311(16877) About Me  on 2010-08-31 21:11:19 (Show Source):
You can put this solution on YOUR website!


The area of a triangle is given by:



So for your triangle



But you are also given that



Substitute for and then solve for .

Hint: You will end up with a factorable quadratic. Discard the extraneous negative root.

John

My calculator said it, I believe it, that settles it



Functions/337438: find the domain of the function g(y)=the square root of y-10
1 solutions

Answer 241847 by solver91311(16877) About Me  on 2010-08-31 21:02:26 (Show Source):
You can put this solution on YOUR website!


Set the expression inside of the radical to greater than or equal to zero. Solve the inequality. The resulting interval is your domain.

John

My calculator said it, I believe it, that settles it