How does the scale factor in Algebra/geometry work?

Question

I just plain don't get it(I'm using the Algebra II Saxon Math program).

Answer 1

The scale factor is used to enlarge or shrink a given figure.
For example, if a triangle has sides 4,6,and 8, you can create a new triangle by multiplying each side by 2 and get a larger triangle with sides 8,12, and 16. If you wanted a smaller triangle, you could have multiplied each side by a scale factor of 1/2 getting a smaller triangle with sides of 2,3,and 4. In either case the triangles would all be similar (have the same shape, but not the same size.

You can do the same with points in a coordinate system. For example (3,7) can bmultiplid b y a scale factor of 3 making its new position (9,21).

Answer 2

For the best answers, search on this site https://shorturl.im/awzMQ

The discovery that mathematical aptitude and musical aptitude are correlated is quite recent. It is just a correlation. There are plenty of people who excel in music who struggle with maths, so you are certainly not alone in this. When you get really good at arithmetic, you generally have a good clue what an answer will look like before you even perform the calculation. If someone asks 135/22 then automatically, without calculating it, I can tell you the answer is between about 6 and 7. In much the same way as an excellent musician (something I'm not) can hum out a melody and probably write a harmony just from reading notes on a manuscript. The correlation between maths and music was examined because it was found that music which sounds good tends to follow mathematical progressions. This happens in several ways. Amongst them are the fact that harmonic notes are multiples of each others frequencies (i.e. 440Hz, 880Hz, one being double the other) and also that there are patterns amongst scales. Humans seem to "like" hearing things that have some symmetry to them. The Pentatonic scale is a great example, you can play any note, in any order, with most any timing - and it will still sound great. Understanding maths is a funny thing. The most basic maths, arithmetic - is rule driven. It relies, in fact really it mandates automatic responses. One simply memorizes a times table. That can be hard to accept, conceptually, that some things need to be learned by wrote. Long division is a *method* once you know the method, you may not get every answer right, but the process is simple once you have the method down. Same with additions and subtraction, I assume you were taught to carry things over. Lots of people struggle with algebra because its so abstract, and again there are tools of the trade. The biggest tool of the trade is wrote learning. Basic algebra relies on being able to automatically recognize numbers as multiples (2x4=8) and so forth so you can factor quadratics. Recognizing patterns, and frankly, practice. I can see the analogies in music. You can technically play all the right notes and still sound awful. You learn to deliver emphasis, get a good tone, put feeling and emotion into something. Knowing the method for division is like getting the right notes, but without practice and experience, you won't often or always get the right answer, or tune. Perhaps you do suffer from a disorder which makes it tougher for you to cope with maths, that's something perhaps you can look into. The biggest direct question I would ask you - is have you shied away from wrote learning the basics? If you have, then that might speak to the core of your problem. No musician argues with the need to learn the C scale, or the Bass and Treble Clefs (at least none I ever knew) - which are akin to knowing your times tables by wrote. Best of luck.

Answer 3

This Site Might Help You.

RE:
How does the scale factor in Algebra/geometry work?
I just plain don't get it(I'm using the Algebra II Saxon Math program).

Answer 4

the scale factor is used to increase or decrease image of a graph plotting.

Answer 5

Can you enter a sample problem? No Saxon book handy.