Really need some help with my maths homework, any help would be greatly appreciated
by the way "-²" is to the power of negative 2, same deal with negative 3.
^ is just to the power of.
These ones have to go to positive indicies, thats all:
I have this question which asks;
A family of quadratic functions just touches the x-axis at the point (3,0). Find the family of quadratic functions.
What exactly is a family of quadratic equations and how do i find it?
Also, how would i go about finding one particular function from the family?
The structure below measures 10m in length by 0.8m in width. In total, there are 21 diagonal pieces exactly like AB and two extra pieces- CD. Pieces CD are parallel to pieces AB. Pieces AB are inclined at 60 degrees from the horizontal.
Please help mefind the length (in millimetres) of piece CD as i already know how to find the length of AB.
After that i need to find the total length of the out frame and all 21 pieces of AB.
Any help is greatly appreciated.
Note: the vertical lines (apart from those on the outer frame) are not a part of the actual structure. They are merely usaed to form triangles so certain lengths can be calculated.
I may have to change my answer after thinking, but here is my "gut feel":
An even number is, by definition, able to be divided evenly by 2. So any whole number multiple of an even number (the multiple could be odd or even) must also be able to be divided evenly by 2.
In algebra it may go something like this:
A number "x" is even if x=2n, where n is an integer
And a number "y" is odd if y=2m+1, where m is an integer
So, multiplying any "x" and "y" gives: xy=2n(2m+1)
But we know the definition of even is 2 times an integer ...
So, if n(2m+1) is an integer (we may need to prove that ), then 2n(2m+1) will be even, and xy must be even.
thanks so much for that!
just one more thing on that, do we just assume that 2n(2m+1) is even, or is this because by using the 2 before the brakctes, we are saying everything is mulitplied by 2 and therefor even?