Mathematics

If a and b are 2 odd prime no.s , show that a^2-b^2 is composite

a and b do not have to be prime for this to hold. As long as a and b are integers, a^2 - b^2 will have two factors, a + b and a - b (since a^2 - b^2 factors to (a + b)(a - b) by difference of squares)

Algebra 1-2 review urgent help!

so were going to have a test and i only have tonight to study and were going over lines and stuff but i really need clear instrustions on how to do a point slope equation, and a standard form equation

How to round off 10.468 to the following

How do I round off the number 10.468 to: - 2 decimal places - 1 decimal place - the nearest integer? Please explain how you got your solution.-10.47since 8 is greater than or equal to 4 bump the 6 up

((4+x)/3 - 4/3) / x =

sepate (4+x)/3to 4/3 + x/3 [4/3 + x/3 -4/3]/x (x/3)/x multiply by the reciprocal (x/3)*1/x the x cancels out. answer is 1/3.

Given that x=2 is one root of the equation x² + x + m = 0, find the other root and the value of m.

using sum/product of roots method. thanks-substitute x=2 , 4+2+m=0 => m = -6 equation is now, x^2 +x -6 =0 => (x-2)(x+3) = 0 roots are,2, -3-plug in 2 for x in the equation: 2² + 2 + m=0 4+2+m=0 6+

Please Help! Algebra 2 question

Two swimmers are competing. They are both in the 100 meter fly. If one swimmer uses only 10% of their total energy, while the other uses 30% of their energy. How much would both swimmers need to use

Can anyone help me with my algebra

6x+3y=15 for y, A=bh for b, and last one C = 5/9(F-32) for F-Okay, here is what you do.. if you are solving for y, you need it alone on one side of the = sign.so... the first problem: subtract 6x fro

Geometry Question over rays, angles, & bisectors!!!! HELP!!

Ray AC bisects Ray XD bisects Ray XE bisects Ray XF bisects Ray XG bisects Ray XH bisects If m If you could show work too, thatd be great!! Thanks for all the help!!-Unable to answer the questi

What is an easy way to remember how to subtract postive and negative numbers

I tend to get really confused when im doing a problem in Algebra/Geometry and I have to subtract, add, multiplying and dividing negative and positive numbers. Im pretty decent at math but this always

Lim as h -->0 ((x+h)^(3) - x^(3))/h

lim as h -->0 ((x+h)^(3) - x^(3))/h step by step please. thanks-you have to do the tedious work. first expand (x+h)^3 if you know Pascals triangle, you can write it out immediately (the part in squa

Can you help me factor 3x^3-4x^2-5x+2

I know its suppose to either have a (x-2) or a (x+1) in it.-Look at the graph or use the rational roots theorem to find the roots at x = 2 and x = -1.Use the factor theorem to convert these roots into

What is a=gmb, for b

a = gmb b = a/gm ---------------------------------------…-b=a/(gm)

Name the quantity measured by each of the following SI units .

Name the quanitity measured by each of the following SI units and give the SI Symbol for each -Newton -Second -Meter -Kilogram-Hello, Newton is a unit of force. Its symbol is N. Second is a unit of t

Factor 81-y4, x4y8-100, and 25q8r4-121

please help and if you could show work-All of these are the differences of squares, so use the rule for factoring the difference of squares on each of them. 81-y4 (9 + y2) (9 - y2) The expression in

Can someone give me a counter example to disprove this statement(:

The irrational numbers are closed under multiplication Thank youu (:-This probably seems hard because youre thinking of the harder sort of irrational numbers, like pi or e, the base of natural logari