Math Help

Archive for February, 2006

Question: 26=g + 10 -3g?

i need help with this math problem. but, i dont just want the answer, i want to know HOW u do it. plz help-i dont get this stuff. also, is there like a FREE hw help hotline for texas? by the way in the problem it is NOT minus 3g. its negative 3 g. please answer ASAP thanks alot!!!

Answer: If it’s not minus 3g, then what is the function between 10 and negative 3g? Is it multiplied?

Essentially, you just need to combine like terms to simplify the equation and then solve for your g. If it were minus 3g:

1.) combine like terms: subtract 10 from both sides and combine your g’s

26 = g + 10 – 3g
26 – 10 = g – 3g + 10 – 10
16 = -2g

2.) solve for g: divide both sides by -2

16 = -2g
16/-2 = -2g/-2
-8 = g

This is how you would answer it. If there is another function between the 10 and the -3g, then use the same steps, but take that into account.

Harvard Homework Helper Hotline

Question: Math Exponents Help?

Is it possible to simplify e^x + e^(x+2). If so, how.

Answer: you know how exponents work?

what is:
(x^2) * (x^3)
that is the same thing as:
(x*x)*(x*x*x)
which is the same thing as
x*x*x*x*x or x^5

and if you start with just x then multiply by x you get:
x*x = x^2 (1+1=2)
multiply by x again
x^2*x= x^3 (2+1=3)

so, the point is… you _add the exponents_ when you multiply like bases together…

so e^(x+2) is:
e^x*e^2

put that into your original equation
e^x + e^x*e^2
factor out e^x
e^x(1+e^2)

which is probably what they are looking for.

See the “Product Rule” at the reference below.

“The exponent “product rule” tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut!”

Also, look at example 3 of things not to do at the second link.

Math Help Exponents 2: More Definitions

How to find the area of a circle? The math formula for area of a circle helps you calculate the area of a circle in a quick and easy way. With the area of a circle equation, finding the area of a circle is fast, easy, and fun. If you need an area of a circle math worksheet, visit our sister website http://www.math-worksheets.info. We suggest that you read this section of area of a circle and learn how to calculate area of a circle before you go and get an area of a circle worksheet.

The area of circle equation is as follows:

For any circle, there is a radius which is the distance between the midpoint of the circle and the circumference of the circle. The radius of a circle is usually denoted by the letter ‘r’. All areas of circles require the use of the mathematical entity ‘pi’. Pi’s value is roughly 3.14159265 and it is denoted by the symbol:

Formula Area of a Circle

Area of a circle = r 2

In another word, the area of a circle is ‘pi r squared’. Remember this! It is the formula for calculating the area of a circle.

Area of a circle calculation example

Below is an example of how to find the area of a circle. With any circle, the first thing to do is find the radius of the circle. You can do this by measuring the distance from the center of the circle to any point on the circumference of the circle.

In this example of how to find the area of a circle, the radius of the circle is 10 cm or 10 centimeters. The area of the circle as given by the formula for the area of a circle above is: Area of the circle on the left hand side is

= x (10 cm) ²

= 3.14159265 x (10 cm) ²

= 314.159 cm ²

Note that the unit of an area of a circle is ’squared’ which represent the two dimensional nature of an area.