Linear Algebra

x cents/gallon * 1 gal/3.78 L * $1 /100 cents = $x / 378 L

Divide cents per gallon by 378 to get dollars per litre.

The equation, y = -4x - 3, is written in what's called slope-intercept form. The general equation for slope-intercept form is y = mx + b, where m is the slope of the line, and b is the y-intercept. So, for the equation in question, m = -4 and b = -3. Thus, the slope of the line is -4.

a linear equation

solution

5x-37=13

5x=13+37

5x=50

x=10

I'm not sure, but I think some problems are time consuming so they get bored and never want to do it.

you probably mean prodigy?

it means someone who is a promising mathmetician and is likely to be very very good

They use algebra because they eat pineapple pie.

It means that at least one of the equations can be expressed as a linear combination of some of the other equations.

A linear combination of equations is the addition (or subtraction) of equations. And since an equation can be added several times, it includes multiples of equations.

For example, if you have

x + 2y = 3

and

2x + y = 4

Then adding 2 times the first and 3 times the second gives

8x + 7y = 18

This is, therefore, dependent on the other 2.

If you have n unknown variables, there will be a unique solution if, and only if, you must have a set of n independent linear equations.

4x - 5y + x2 + 2y2 = 0; rewrite as

1x2 + 2y2 + 4x - 5y + 0 = 0;

Since the coefficient of x and y are different, and their product is greater than zero, the given equation is the equation of an ellipse.

add 4 to both sides to complete the square for x, and factor out 2 from y-terms

(x + 2)2 + 2[y2 - (5/2)y] = 4; divide by 2 each term to both sides

(x + 2)2/2 + y2 - (5/2)y = 2; add (5/4)2 to both sides to complete the square for y

(x + 2)2/2 + (y - 5/4)2 = (2*16 + 25)/16

(x + 2)2/2 + (y - 5/4)2 = 57/16; let + 2 = - (-2) and divide by 57/16 to both sides

[x - (-2]2/(57/8) + (y - 5/4)2/(57/16) = 1

This is the equation of an ellipse centered at (-2, 5/4).

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question.

Not in general.

Not in general.

Not in general.

Not in general.

not me pls someone should help me

One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.

One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.

One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.

One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.

She did not figure out a particular equation but found the set of conditions under which solutions to a class of partial differential equations would exist. This is now known as the Cauchy-Kovalevskaya Theorem.

If you give x money to the bank paying 6% interest, then the amount of interest received is 0.06*x.

If you gave x to the first account, the money left over must be 12600-x, so if you give 12600-x money to the second account, the interest is 0.08*(12600-x)

Now we want both amounts of interest to be equal so,

0.06x = 0.08(12600-x)

=> 0.06x = 0.08*12600 - 0.08x

=> 0.06x = 1008 - 0.08x

=> 0.06x + 0.08x = 1008

=> 0.14x = 1008

=> x = 1008/0.14 = 7200

You give 7200 to the 6% interest account, as you chose to give them x money.

You have 5400 money left to give to the 8% interest account (12600 - x).

Speed is measured by distance and time, yes.

Velocity takes in direction.

Unsought products are goods and services that people do not buy on a daily basis and are not commonly known. These goods require a lot of effort and advertising because it doesnÕt have an immediate use once bought.

Echolalia is a complex vocal tic

Yes

First let's be clear on the definitions.
A matrix M is orthogonal if MT=M-1
Or multiply both sides by M and you have
1) M MT=I
or
2) MTM=I

Where I is the identity matrix.

So our definition tells us a matrix is orthogonal if its transpose equals its inverse or if the product ( left or right) of the the matrix and its transpose is the identity.

Now we want to show why the inverse of an orthogonal matrix is also orthogonal.

Let A be orthogonal. We are assuming it is square since it has an inverse.

Now we want to show that A-1 is orthogonal.
We need to show that the inverse is equal to the transpose.
Since A is orthogonal, A=AT
Let's multiply both sides by A-1

A-1 A= A-1 AT
Or A-1 AT =I
Compare this to the definition above in 1) (M MT=I)
do you see how A-1 now fits the definition of orthogonal?
Or course we could have multiplied on the left and then we would have arrived at 2) above.

1. they dont have feet they are paws
2. it is different from a turtles
3. i like turtles
4. do you like turtles
5. you should like turtles
6. because i like turtles
7. they live a long time
8. they have shells
9. lions are just ejaculation infections
10. you go near a lion and they just start shite and shite like that
11. you go near a turtle and he makes you tea and biscuits
12. this is number 12
13. this is number 13
14. and so on like that
15. i like turtles

A component pre-prepared that can be used when producing a new product. Eg. a standard component may be a pre-made pastry case you would use if producing a new line of flans.

Please visit the related link at the bottom. If I tried to write the computer algorithm here it would get very messy.