Answer:
1. The pin’s location aids to create two drawings simultaneously. This is that while drawing an image, a copy, which may vary in size, is created at the same time.
2. The pantograph relates to dilation and similarity due to the use of similar triangles that affect the scale of the second drawing.
3. The use of similar triangles illustrates the process of the pantograph because the ratio of similitude is set when determining where to place the pin. When a triangle is moved while tracing a line, along with the outline of the image, an enlarged/reduced version of the image is created by the other pantograph's end.
4. The pantograph is now obsolete and has been replaced by several different ways of producing duplicates such as photocopying, mass printing, and digital filing.
You just need to try with all of the pair f.ex
0,-2 -> put 0 in the x-> y=8*0-2=-2 so ok it is q possible pair of the function..
You try every pair till you find set where all the pairs fit
So set 1
1 and 6: 8*1-2=6 ok
2 and 14 : 8*2-2=14 ok
Hope I could help
Hello!
The words at least means that the worker needs to work 8, 9 or 10 hours. We can add probabilities, so we will add .6 (for those working 8 hours), .15 (for those working 9 hours) and .08 (for those working 10 hours) to get a total probability of .83.
Hope this helps!
Irrational number between 9.5 and 9.7...
9.678937... (never ending)...it is irrational because it cannot be made into a fraction because it is infinite.
the decimal approximation to the nearest hundredth is : 9.68
To solve this system of linear equations we need a little trick called elimination steps are below
we are given the following system of equations


if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so


simplify and we get


now we can combine like terms on each side with the x's cancelling and get

now divide off -35

great now we can go back to our original system and pick a equation and substitute y back in to find x lets use

so now we substitute y and get




now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)