Question about Bagatrix Algebra Solved! 2005 (105101) for PC

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3x = 4y = -12 - Bagatrix Algebra Solved! 2005 (105101) for PC

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X = -4, y = -3

Posted on Nov 11, 2010

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(3x-4y)*(3x-4y)


9x^2 - 24xy + 16y^2

If this is homework, be sure to show your work.

Oct 21, 2016 | Computers & Internet

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Find the equations of circles passing through (1,-1),touching the lines 4x+3y+5=0 and 3x-4y-10=0


First, I graphed the lines and the point using Desmos.com.

I noticed that the two lines are perpendicular to each other and the point (1,-1) appears to be on the right side of the circle, on a line parallel to 3x -4y-10=0. The equation of this line is y= 3/4x - 1.75. The y-intercept is -1.75. Now we have two points on the opposite sides of the circle, (1, -1) and (0,-1.75). The midpoint formula will give you the centre of the circle and the distance formula will provide the radius.

Let me know if you have any questions.

Good luck.

Paul
Desmos Beautiful Free Math

Jun 09, 2014 | Office Equipment & Supplies

1 Answer

3x + 4y =6


That's the equation of a line. Do you have a question about it?

Nov 23, 2013 | Computers & Internet

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Definition of special product in algebra types and example of special product in algebra


Product means the result you get after multiplying.
In Algebra xy means x multiplied by y
Likewise when you see (a+b)(a-b) it means (a+b) multiplied by (a-b), which we will be using a lot here!
Special Binomial Products So when you multiply binomials you get ... Binomial Products
And we are going to look at three special cases of multiplying binomials ... so they are Special Binomial Products.
1. Multiplying a Binomial by Itself What happens when you square a binomial (in other words, multiply it by itself) .. ?

(a+b)2 = (a+b)(a+b) = ... ?

The result:

(a+b)2 = a2 + 2ab + b2
You can easily see why it works, in this diagram:

x-y-2-diagram.gif
2. Subtract Times Subtract And what happens if you square a binomial with a minus inside?

(a-b)2 = (a-b)(a-b) = ... ?

The result:

(a-b)2 = a2 - 2ab + b2
3. Add Times Subtract And then there is one more special case... what if you multiply (a+b) by (a-b) ?

(a+b)(a-b) = ... ?

The result:

(a+b)(a-b) = a2 - b2
That was interesting! It ended up very simple.
And it is called the "difference of two squares" (the two squares are a2 and b2).
This illustration may help you see why it works:
apb-amb-why.gif a2 - b2 is equal to (a+b)(a-b) Note: it does not matter if (a-b) comes first:

(a-b)(a+b) = a2 - b2
The Three Cases Here are the three results we just got:
(a+b)2 = a2 + 2ab + b2 } (the "perfect square trinomials") (a-b)2 = a2 - 2ab + b2 (a+b)(a-b) = a2 - b2 (the "difference of squares") Remember those patterns, they will save you time and help you solve many algebra puzzles.
Using Them So far we have just used "a" and "b", but they could be anything.
Example: (y+1)2
We can use the (a+b)2 case where "a" is y, and "b" is 1:

(y+1)2 = (y)2 + 2(y)(1) + (1)2 = y2 + 2y + 1

Example: (3x-4)2
We can use the (a-b)2 case where "a" is 3x, and "b" is 4:

(3x-4)2 = (3x)2 - 2(3x)(4) + (4)2 = 9x2 - 24x + 16

Example: (4y+2)(4y-2)
We know that the result will be the difference of two squares, because:

(a+b)(a-b) = a2 - b2
so:

(4y+2)(4y-2) = (4y)2 - (2)2 = 16y2 - 4
Sometimes you can recognize the pattern of the answer:
Example: can you work out which binomials to multiply to get 4x2 - 9
Hmmm... is that the difference of two squares?
Yes! 4x2 is (2x)2, and 9 is (3)2, so we have:

4x2 - 9 = (2x)2 - (3)2
And that can be produced by the difference of squares formula:

(a+b)(a-b) = a2 - b2
Like this ("a" is 2x, and "b" is 3):

(2x+3)(2x-3) = (2x)2 - (3)2 = 4x2 - 9
So the answer is that you can multiply (2x+3) and (2x-3) to get 4x2 - 9

Jul 26, 2011 | Computers & Internet

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2x^5+4x^4-3x^2+7,7x^4-3x^3+x^2-9


5x -2(x-2) = 6 -2(-3x-3)
5x -2x +4 = 6 +6x +6 (use the distributive property)
3x + 4 = 6x + 12 (collect terms)
4 = 3x + 12 (subtract 3x from both sides to get all x on one side)
-8 = 3x (subtract 12 from both sides to get only x on one side)
-8/3 = x (divide both sides by 3 to get x by itself)

Check
5(-8/3) -2((-8/3)-2) = 6 - 2(-3(-8/3)-3)
-40/3 -2(-8/3-6/3) = 6 - 2(8-3)
-40/3 -2(-14/3) = 6 -2(5)
-40/3 + 28/3 = 6 - 10
-12/3 = -4 (yes)

Dec 19, 2010 | Answer Racing Ion Motorcycle Jersey 2010

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How do I solve x and y in the following equations? 5x+3y=6 2x-4y=5 Thank you


You can solve it with following method.

5x+3y=6 2x-4y=5
So 5x=6-3y so 2[(6-3y)/5]-4y=5
So x=(6-3y)/5 so 12-6y-20y=25
so -26y=25-12
so -26y=13
so y= -(1/2)
2x-4y=5
so 2x=5+4y
so 2x=5+4(-1/2)
so 2x=(10-4)/2
so 2x=6/4
so x =3/2

The value of x=3/2 and value of y= -1/2

Let me know if you need further assistance.
Thanks for using FixYa.

Mar 03, 2010 | Office Equipment & Supplies

2 Answers

How do I enter and graph the equation: 6 - 3/8y = x 2/3x + 1/4y = 4 Thanks!!


At first you have to slving this equations in explicit form y=f(x) and the graphing it. See captured images



3_3_2012_5_25_37_pm.jpg

3_3_2012_5_25_56_pm.jpg

Jan 23, 2009 | Texas Instruments TI-83 Plus Calculator

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Your friend John asks you for advice concerning life insurance. John is 32 years old and graduated from law school last year. he currently earns $48,000 per year as a first year attorney. John is married and has two children, Billy, age 10, and Sarah, age 4. John's wife, Mary, is a professor who currently earns $58,000 per year. Mary is 34 years old. John and Mary pay $1,700 per month for their home mortgage, which will be paid off in 20 years. The interest rate on their mortgage is 4.5%. (Their current equity in the home is $75,000.) The couple owns two cars, both 8 years old, and personal property (such as clothes, electronics, furniture, etc.) values at $45,000. Their investments have been used up paying for John's law school education, so they currently have only $1,000 in savings and checking accounts, and $2,000 in a mutual fund. John has no life insurance. Mary has $100,000 of life insurance provided by her employer. mary's pension plus social security are expected to total $45,000 per year, beginning when she is 67 years old. If John should die, Mary would receive approximately $10,000 per year from social security until Sarah reaches age 18. John and Mary spend most of their current income, although they do try to save about $50 per month. Their investments earn approximately 5% per year. In addition to their home mortgage, John has a student loan of $15,000 that he must start making payments on in 6 months. he plans to pau back the loan in 5 years and the loan's interst rate is 6% per year. Given that Mary enjoys a flexible work schedule, and because Mary's mother lives close by and watches the kids two days per week, the currently are not paying any child care expenses.

Nov 22, 2013 | Bagatrix Algebra Solved! 2005 (105101) for...

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Your friend John asks you for advice concerning life insurance. John is 32 years old and graduated from law school last year. he currently earns $48,000 per year as a first year attorney. John is married and has two children, Billy, age 10, and Sarah, age 4. John's wife, Mary, is a professor who currently earns $58,000 per year. Mary is 34 years old. John and Mary pay $1,700 per month for their home mortgage, which will be paid off in 20 years. The interest rate on their mortgage is 4.5%. (Their current equity in the home is $75,000.) The couple owns two cars, both 8 years old, and personal property (such as clothes, electronics, furniture, etc.) values at $45,000. Their investments have been used up paying for John's law school education, so they currently have only $1,000 in savings and checking accounts, and $2,000 in a mutual fund. John has no life insurance. Mary has $100,000 of life insurance provided by her employer. mary's pension plus social security are expected to total $45,000 per year, beginning when she is 67 years old. If John should die, Mary would receive approximately $10,000 per year from social security until Sarah reaches age 18. John and Mary spend most of their current income, although they do try to save about $50 per month. Their investments earn approximately 5% per year. In addition to their home mortgage, John has a student loan of $15,000 that he must start making payments on in 6 months. he plans to pau back the loan in 5 years and the loan's interst rate is 6% per year. Given that Mary enjoys a flexible work schedule, and because Mary's mother lives close by and watches the kids two days per week, the currently are not paying any child care expenses.

Nov 22, 2013 | Bagatrix Algebra Solved! 2005 (105101) for...

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